Narada Purana — Purva Bhaga — Chapter 54
NarP 1 54.1
सनन्दन उवाच ज्योतिषाङ्गं प्रवक्ष्यामि यदुक्तं ब्रह्मणा पुरा । यस्य विज्ञान मात्रेण धर्मसिद्धिर्भवेन्नृणाम्
sanandana uvāca jyotiṣāṅgaṃ pravakṣyāmi yaduktaṃ brahmaṇā purā / yasya vijñāna mātreṇa dharmasiddhirbhavennṛṇām
Sanandana said: I shall declare the limb (of the Veda) that is astronomy, which was formerly spoken by Brahmā, by the mere knowing of which men attain success in dharma.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.2
त्रिस्कन्धं ज्यौतिषां शास्त्रं चतुर्लक्षमुदाहृतम् । गणितं जातकं विप्र संहितास्कन्धसंज्ञिताः
triskandhaṃ jyautiṣāṃ śāstraṃ caturlakṣamudāhṛtam / gaṇitaṃ jātakaṃ vipra saṃhitāskandhasaṃjñitāḥ
The science of the heavenly bodies has three sections and is said to comprise four lakhs (of verses): computation (gaṇita), nativity (jātaka), and those called the saṃhitā section, O brahmin.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.3
गणिते परिकर्मादि खगमध्यस्फुटक्रिंये । अनुयोगश्चन्द्रसूर्यग्रहणं तचोदस्याकम्
gaṇite parikarmādi khagamadhyasphuṭakriṃye / anuyogaścandrasūryagrahaṇaṃ tacodasyākam
In computation: the elementary operations and the rest, the mean and true motions of the planets, the anuyoga, the eclipse of moon and sun, ...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.4
छाया शृङ्गोन्नतियुती पातसाधानमीरितम् । जातके राशिभेदाश्च ग्रहयोनिश्च योनिजम्
chāyā śṛṅgonnatiyutī pātasādhānamīritam / jātake rāśibhedāśca grahayoniśca yonijam
Shadow, the elevation of the (moon's) horns, conjunction, and the determination of the nodes are declared. In nativity: the divisions of the signs, the planet's source, and what is born from the womb;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.5
निषेकजन्मारिष्टानि ह्यायुर्दायो दशाक्रमः । कर्माजीवं चाष्टवर्गो राजयोगाश्च नाभसाः
niṣekajanmāriṣṭāni hyāyurdāyo daśākramaḥ / karmājīvaṃ cāṣṭavargo rājayogāśca nābhasāḥ
impregnation, the perils at birth, the allotment of lifespan, the order of the periods (daśā), action and livelihood, the eightfold division, the royal yogas and the nābhasa (yogas);
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.6
चन्द्रयोगाः प्रव्रज्याख्या राशिशीलं च दृक्फलम् । ग्रहभावफलं चैवाश्रययोगप्रकीर्णके
candrayogāḥ pravrajyākhyā rāśiśīlaṃ ca dṛkphalam / grahabhāvaphalaṃ caivāśrayayogaprakīrṇake
the lunar yogas, that called renunciation, the character of the signs and the result of aspect, the result of planets in the houses, and the āśraya yogas and miscellaneous matters;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.7
अनिष्टयोगाः स्रीजन्मपलं निर्याणमेव च । नष्टजन्मविधानं च तथा द्रेष्काणलक्षणम्
aniṣṭayogāḥ srījanmapalaṃ niryāṇameva ca / naṣṭajanmavidhānaṃ ca tathā dreṣkāṇalakṣaṇam
inauspicious yogas, the result of a woman's birth, and departure (death), the procedure for a lost birth(-time), and likewise the characteristics of the decanates;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.8
संहिताशास्त्ररूपं च ग्रहचारो ऽब्दलक्षणम् । तिथिवासरनक्षत्रयोगतिथ्यर्द्धसंज्ञकाः
saṃhitāśāstrarūpaṃ ca grahacāro 'bdalakṣaṇam / tithivāsaranakṣatrayogatithyarddhasaṃjñakāḥ
the form of the saṃhitā science, the courses of the planets, the marks of the year, those called tithi, weekday, lunar mansion, yoga and half-tithi (karaṇa);
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.9
मुहूर्तोपग्रहाः सूयसंक्रान्तिर्गोचरः क्रमात् । चन्द्रता राबलं चैव सर्वलग्रार्तवाह्वयः
muhūrtopagrahāḥ sūyasaṃkrāntirgocaraḥ kramāt / candratā rābalaṃ caiva sarvalagrārtavāhvayaḥ
the muhūrtas and the upagrahas, the sun's transit, the gocara in order, and the strength of the moon, and all those named after ascendants and seasons;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.10
आधानपुंससीमन्तजातनामान्नभुक्तयः । चौलङ्कर्ण्ययणं मैञ्जी क्षुरिकाबन्धनं तथा
ādhānapuṃsasīmantajātanāmānnabhuktayaḥ / caulaṅkarṇyayaṇaṃ maiñjī kṣurikābandhanaṃ tathā
conception, the rite for (obtaining) a male child, the parting of the hair, birth, naming, the first feeding of food; tonsure, ear-piercing, the girding with muñja-grass, and likewise the binding on of the knife;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.11
समावर्तिनवैवाहप्रतिष्टासद्मलक्षणम् । यात्राप्रवेशनं सद्योवृष्टिः कर्मविलक्षणम्
samāvartinavaivāhapratiṣṭāsadmalakṣaṇam / yātrāpraveśanaṃ sadyovṛṣṭiḥ karmavilakṣaṇam
(the rites of) return from studentship, marriage, consecration (of images), the characteristics of a house, setting out on a journey and entering (a house), immediate rainfall, the distinguishing of rites,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.12
उत्पत्तिलक्षणं चैव सर्वं संक्षेपतो ब्रुवे । एकं दश शतं चैव सहस्रायुतलक्षकम्
utpattilakṣaṇaṃ caiva sarvaṃ saṃkṣepato bruve / ekaṃ daśa śataṃ caiva sahasrāyutalakṣakam
and the characteristics of (their) origination — all this I shall state in brief: one, ten, a hundred, a thousand, ten thousand, a hundred thousand,
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.13
प्रयुतं कोटिसंज्ञां चार्बुदमब्जं च रर्ववकम् । निरवर्व च महापद्मं शङ्कुर्जलधिरेव च
prayutaṃ koṭisaṃjñāṃ cārbudamabjaṃ ca rarvavakam / niravarva ca mahāpadmaṃ śaṅkurjaladhireva ca
a million, that named koṭi (ten million), then arbuda, abja, and kharva, nikharva and mahāpadma, śaṅku and jaladhi,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.14
अत्यं मध्यं परार्द्धं च संज्ञा दशगुणोत्तराः । क्रमादुत्क्रमतो वापि योगः कार्योत्तरं तथा
atyaṃ madhyaṃ parārddhaṃ ca saṃjñā daśaguṇottarāḥ / kramādutkramato vāpi yogaḥ kāryottaraṃ tathā
antya, madhya and parārdha — these names each increase tenfold; addition is to be done either in order or in reverse order, and likewise (each) subsequent (step) as required.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.15
हन्याद्गुणेन गुण्यं स्यात्तैनैवोपान्तिमादिकान् । शुद्धेद्धरोयद्गुणश्चभाज्यान्त्यात्तत्फलं मुने
hanyādguṇena guṇyaṃ syāttainaivopāntimādikān / śuddheddharoyadguṇaścabhājyāntyāttatphalaṃ mune
One should multiply the multiplicand by the multiplier, and by that same (multiplier) the next-to-last digits and so on; the divisor should divide (them); whatever the quotient is, from the last (place) of the dividend—that is the result, O sage.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.16
समाङ्कतो ऽथो वर्गस्यात्तमेवाहुः कृतिं बुधाः । अन्त्यात्तु विषमात्त्यक्त्वा कृतिं मूलंन्यसेत्पृथक्
samāṅkato 'tho vargasyāttamevāhuḥ kṛtiṃ budhāḥ / antyāttu viṣamāttyaktvā kṛtiṃ mūlaṃnyasetpṛthak
From an even-numbered place, then, (one takes) that of the square; the wise call that same thing the square (kṛti). But from the last, odd (place), having subtracted the square, one should set down the root separately.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.17
द्विगुणेनामुना भक्ते फलं मूले न्यसेत्क्रमात् । तत्कृतिं च त्यजेद्विप्र मूलेन विभजेत्पुनः
dviguṇenāmunā bhakte phalaṃ mūle nyasetkramāt / tatkṛtiṃ ca tyajedvipra mūlena vibhajetpunaḥ
When (the remainder) is divided by twice that (root), one should set the quotient down in order in the root; and one should subtract the square of that, O brahmin, and divide again by the root.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.18
एवं मुहुर्वर्गमूलं जायते च मुनीश्वर । समत्र्यङ्कहतिः प्रोक्तो घनस्तत्रविधिः पदे
evaṃ muhurvargamūlaṃ jāyate ca munīśvara / samatryaṅkahatiḥ prokto ghanastatravidhiḥ pade
Thus, repeatedly, the square root arises, O lord of sages. The product of three equal numbers is called the cube; therein (this) is the rule for (finding) the root:
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.19
प्रोच्यते विषमं त्वाद्यं समे द्वे च ततः परम् । विशोध्यं विषमादन्त्याद्धनं तन्मूलमुच्यते
procyate viṣamaṃ tvādyaṃ same dve ca tataḥ param / viśodhyaṃ viṣamādantyāddhanaṃ tanmūlamucyate
the first (place) is called odd, and the two after that even; from the last odd (place) the cube is to be subtracted, and that is called its root.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.20
त्रिघ्नाद्भजन्मूलकृत्या समं मूले न्यसेत्फलम् । तत्कृतित्वेन निहतान्निघ्नीं चापि विशोधयेत्
trighnādbhajanmūlakṛtyā samaṃ mūle nyasetphalam / tatkṛtitvena nihatānnighnīṃ cāpi viśodhayet
Dividing by three times the square of the root, one should set the quotient down in the root at the even (place); and one should also subtract (the product) multiplied by three times (the root) and by the square of that.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.21
घनं च विषमादेवं घनमूलं मुर्हुभवेत् । अन्योन्यहारनिहतौ हरांशौ तु समुच्छिदा
ghanaṃ ca viṣamādevaṃ ghanamūlaṃ murhubhavet / anyonyahāranihatau harāṃśau tu samucchidā
And likewise the cube (is subtracted) from the odd (place); thus the cube root is obtained repeatedly. But when denominator and numerator are multiplied each by the other's denominator, there is reduction to a common (denominator).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.22
लवा लवघ्नाश्च हरा हरघ्ना हि सवर्णनम् । भागप्रभागे विज्ञेयं मुने शास्रार्थचिन्तकैः
lavā lavaghnāśca harā haraghnā hi savarṇanam / bhāgaprabhāge vijñeyaṃ mune śāsrārthacintakaiḥ
The numerators are multiplied by the numerators and the denominators by the denominators — that indeed is the reduction to like terms; this is to be understood, O sage, by those who reflect on the meaning of the treatises, in (the operation of) a fraction of a fraction.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.23
अनुबन्धे ऽपवाहे चैकस्य चेदधिकोनकः । भागास्तलस्थहारेण हरं स्वांशाधिकेन तान्
anubandhe 'pavāhe caikasya cedadhikonakaḥ / bhāgāstalasthahāreṇa haraṃ svāṃśādhikena tān
In addition or subtraction (of a fraction), if there is an increase or decrease of a unit, (multiply) the numerators by the denominator standing below, and (multiply) the denominator by (the numerator) increased by its own part,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.24
ऊनेन चापि गुणयेद्धनर्णं चिन्तयेत्तथा । कार्यस्तुल्यहरां शानां योगश्चाप्यन्ततो मुने
ūnena cāpi guṇayeddhanarṇaṃ cintayettathā / kāryastulyaharāṃ śānāṃ yogaścāpyantato mune
or one should multiply by (the part) diminished, and should reckon it as positive or negative accordingly; and the addition of parts having equal denominators is to be performed, O sage, at the end.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.25
अहारराशौ रूप्यं तु कल्पयेद्धरमप्यथा । अंशाहतिश्छेदघातहृद्भिन्नगुणने फलम्
ahārarāśau rūpyaṃ tu kalpayeddharamapyathā / aṃśāhatiśchedaghātahṛdbhinnaguṇane phalam
But in a quantity that has no denominator one should assume unity as the denominator. In the multiplication of fractions the result is the product of the numerators divided by the product of the denominators.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.26
छेदं चापि लवं विद्वन्परिवर्त्य हरस्य च । शेषः कार्यो भागहारे कर्तव्यो गुणनाविधिः
chedaṃ cāpi lavaṃ vidvanparivartya harasya ca / śeṣaḥ kāryo bhāgahāre kartavyo guṇanāvidhiḥ
And, O learned one, having interchanged the denominator and the numerator of the divisor, the rest is to be done: in division the procedure of multiplication is to be carried out.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.27
हारांशयोः कृती वर्गे घनौ घनविधौ मुने । पदसिद्ध्यै पदे कुर्यादथोरवं सर्वतश्च रवम्
hārāṃśayoḥ kṛtī varge ghanau ghanavidhau mune / padasiddhyai pade kuryādathoravaṃ sarvataśca ravam
The squares of the denominator and numerator (are taken) in squaring, and their cubes in the cube operation, O sage; for obtaining the root, one should take (their) roots — and thereafter (the like) in every case.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.28
छेदं गुणं गुणं छेदं वर्गं मूलं पदं कृतिम् । ऋणं स्वं स्वमृणं कुर्यादृश्ये राशिप्रसिद्धये
chedaṃ guṇaṃ guṇaṃ chedaṃ vargaṃ mūlaṃ padaṃ kṛtim / ṛṇaṃ svaṃ svamṛṇaṃ kuryādṛśye rāśiprasiddhaye
One should make the divisor the multiplier and the multiplier the divisor, the square the root and the root the square, the negative positive and the positive negative, in (working back from) the visible (result) for the establishing of the quantity.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.29
अथ स्वांशाधिकोने तु लवाढ्यो नो हरो हरः । अंशस्त्वविकृतस्तत्र विलोमे शेषमुक्तवत्
atha svāṃśādhikone tu lavāḍhyo no haro haraḥ / aṃśastvavikṛtastatra vilome śeṣamuktavat
Now, when (a quantity) is increased or diminished by its own part, the denominator increased or diminished by the numerator is the (new) denominator, while the numerator there is unchanged; in the inverse case the rest is as stated.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.30
उद्दिष्टाराशिः संक्षिप्तौ हृत्ॐऽशै रहितो युतः । इष्टघ्नदृष्टेनैतेन भक्तराशिरनीशितः
uddiṣṭārāśiḥ saṃkṣiptau hṛtoṃ'śai rahito yutaḥ / iṣṭaghnadṛṣṭenaitena bhaktarāśiranīśitaḥ
The stated quantity, when abridged, is divided by (unity) diminished or increased by the parts; the quantity divided by this, multiplied by the desired number and (compared) with the seen number, is ascertained.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.31
योगोन्तरेणोनयुतोद्वितोराशीतसंक्रमे । राश्यन्तरहृतं वर्गोत्तरं योसुतश्च तौ
yogontareṇonayutodvitorāśītasaṃkrame / rāśyantarahṛtaṃ vargottaraṃ yosutaśca tau
(The quantity) diminished and increased by the difference of the sum ... in the transposition of the two quantities; (the result) divided by the difference of the quantities, increased by the square — these two (are the quantities).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.32
गजग्रीष्टकृतिर्व्यैका दलिता चेष्टभाजिता । एको ऽस्य वर्गो दलितः सैको राशिः परो मतः
gajagrīṣṭakṛtirvyaikā dalitā ceṣṭabhājitā / eko 'sya vargo dalitaḥ saiko rāśiḥ paro mataḥ
The square of (the number) 'elephant-neck' (i.e. eight), less one, halved and divided by the desired (number); one plus the square of this, halved, and that plus one — (these) are held to be the (two) quantities, the one and the other.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.33
द्विगुणेष्टहृतं रूपं श्रेष्ठं प्राग्रूपकं परम् । वर्गयोगान्तरे व्येके राश्योर्वर्गोस्त एतयोः
dviguṇeṣṭahṛtaṃ rūpaṃ śreṣṭhaṃ prāgrūpakaṃ param / vargayogāntare vyeke rāśyorvargosta etayoḥ
Unity divided by twice the assumed number is the better (quantity); the former unit is the other. When the sum and difference of the squares are each diminished by one, the squares of the two quantities are (obtained) from these two.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.34
इष्टवगेकृतिश्चेष्टघनोष्टग्रौ च सौककौ । एषीस्यानामुभे व्यक्ते गणिते व्यक्तमेव च
iṣṭavagekṛtiśceṣṭaghanoṣṭagrau ca saukakau / eṣīsyānāmubhe vyakte gaṇite vyaktameva ca
The square of the square of the assumed number, and the cube of the assumed number, and the eight-fold(?) — both with one added; of the ... both become manifest, and the calculation too is (thus) made manifest.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.35
गुणघ्नमूलोनयुतः सगुणार्द्धे कृतं पदम् । दृष्टस्य च गुणार्द्धो न युतं वर्गीकृतं गुणः
guṇaghnamūlonayutaḥ saguṇārddhe kṛtaṃ padam / dṛṣṭasya ca guṇārddho na yutaṃ vargīkṛtaṃ guṇaḥ
The root multiplied by the multiplier, diminished (or) increased, together with half the multiplier — the root is made (thus); and half the multiplier of the visible (quantity) is not added, (but) squared: (that is) the multiplier.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.36
यदा लवोनपुम्राशिर्दृश्यं भागोनयुग्भुवा । भक्तं तथा मूलगुणं ताभ्यां साध्योथ व्यक्तवत्
yadā lavonapumrāśirdṛśyaṃ bhāgonayugbhuvā / bhaktaṃ tathā mūlaguṇaṃ tābhyāṃ sādhyotha vyaktavat
When the quantity, diminished by its fractional part, is the visible (result), it is divided by the ground(?) diminished and increased by the fraction; likewise (in the case of) the root multiplied (by something), the (result) is to be obtained by means of those two, and then as in the case of known quantities.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.37
प्रमाणेच्छे सजातीये आद्यन्ते मधअयगं फलम् । इच्छघ्नमाद्यहृत्सेष्टं फलं व्यस्ते विपर्ययात्
pramāṇecche sajātīye ādyante madhaayagaṃ phalam / icchaghnamādyahṛtseṣṭaṃ phalaṃ vyaste viparyayāt
When the measure and the requisition are of the same kind, (they are placed) at the beginning and the end, and the fruit in the middle; the (fruit) multiplied by the requisition and divided by the first is the desired result. In the inverse (rule of three) it is the reverse.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.38
पञ्चरास्यादिके ऽन्योन्यपक्षं कृत्वा फलच्छिदाम् । बहुराशिवधं भक्ते फलं स्वल्पवधेन च
pañcarāsyādike 'nyonyapakṣaṃ kṛtvā phalacchidām / bahurāśivadhaṃ bhakte phalaṃ svalpavadhena ca
In the rule of five and the rest, having transposed (the terms) of the two sides mutually, (and likewise) the divisors of the fruits, when the product of the many quantities is divided (by the product of the fewer), the fruit (results) — by the product of the smaller (set).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.39
इष्टकर्मवधेमूलं च्युतं मिश्रात्कलान्तरे । मानघ्नकालश्चातीतकालाघ्नफलसंहृताः
iṣṭakarmavadhemūlaṃ cyutaṃ miśrātkalāntare / mānaghnakālaścātītakālāghnaphalasaṃhṛtāḥ
The root of the product of the desired operation, subtracted from the mixed (sum), (gives) the interest; and the times multiplied by the principals, and (the amounts) multiplied by the elapsed times and divided by the fruits (interests),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.40
स्वयोगभक्तानिघ्नाः स्युः संप्रयुक्तदलानि च । बहुराशिपलात्स्वल्पराशिमासफलं बहु
svayogabhaktānighnāḥ syuḥ saṃprayuktadalāni ca / bahurāśipalātsvalparāśimāsaphalaṃ bahu
they are to be multiplied and divided by their own sum, and (so also) the halves of the (quantities) joined together. From the interest on the larger sum, the monthly interest on the smaller sum (may be) large,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.41
चेद्राशिविवरं मासफलान्तरहृतं च यः । क्षेपा मिश्रहताः क्षेपोयोगभक्ताः फलानि च
cedrāśivivaraṃ māsaphalāntarahṛtaṃ ca yaḥ / kṣepā miśrahatāḥ kṣepoyogabhaktāḥ phalāni ca
if the difference of the sums, divided by the difference of the monthly interests, ...; the additive terms multiplied by the mixed (sum), the additive terms divided by the sum, and the fruits (as well),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.42
भजेच्छिदाएंशैस्तैर्मिश्रै रूपं कालश्च पूर्तिकृत् । पूर्णोगच्छेत्समेध्यव्येसमेवर्गोर्द्धितेत्यतः
bhajecchidāeṃśaistairmiśrai rūpaṃ kālaśca pūrtikṛt / pūrṇogacchetsamedhyavyesamevargorddhitetyataḥ
one should divide by the divisors, by those parts, by the mixed quantities; and unity and the time make up the completion. The full (term) would be reached; when even, ... when uneven, the square is raised — hence (this rule).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.43
व्यस्तं गच्छतं फलं यद्गुणवर्गं भचहि तत् । व्येकं व्येकगुणाप्तं च प्राध्नं मानं गुणोत्तरे
vyastaṃ gacchataṃ phalaṃ yadguṇavargaṃ bhacahi tat / vyekaṃ vyekaguṇāptaṃ ca prādhnaṃ mānaṃ guṇottare
Inversely, the fruit reached (in a geometrical progression) is that whose multiplier-power (is taken); divide that, less one, by the multiplier less one — the principal amount (is obtained) in a series with a common multiplier.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.44
भुजकोटिकृतियोगमूलं कर्णश्च दोर्भवेत् । श्रुतिकृत्यन्तरपद कोटिर्दोः कर्णवर्गयोः
bhujakoṭikṛtiyogamūlaṃ karṇaśca dorbhavet / śrutikṛtyantarapada koṭirdoḥ karṇavargayoḥ
The root of the sum of the squares of the upright and the base is the hypotenuse; and the base is (found from) the root of the difference of the squares of the hypotenuse (and the upright); the upright (likewise) from the squares of the base and the hypotenuse.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.45
विंवरात्तत्कर्णपदं क्षेत्रे त्रिचतुरस्रके । राश्योरन्तरवर्गेण द्विघ्ने घाते युते तयोः
viṃvarāttatkarṇapadaṃ kṣetre tricaturasrake / rāśyorantaravargeṇa dvighne ghāte yute tayoḥ
From the difference (of the squares comes) the root of that hypotenuse, in a three- or four-sided figure. When the square of the difference of the two quantities is added to twice their product,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.46
वर्गयोगोथ योगान्तहॄन्तिर्वर्गान्तरं भवेत् । व्यास आकृतिसंक्षण्णोव्यासास्यात्परिधिर्मुने
vargayogotha yogāntahṝntirvargāntaraṃ bhavet / vyāsa ākṛtisaṃkṣaṇṇovyāsāsyātparidhirmune
(that is) the sum of the squares; and the product of the sum and the difference is the difference of the squares. The diameter, multiplied by the figure(?), (gives) the circumference from the diameter, O sage.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.47
ज्याव्यासयोगविवराहतमूलोनितो ऽर्द्धितः । व्यासः शरः शरोनाञ्च व्यासाच्छरगुणात्पदम्
jyāvyāsayogavivarāhatamūlonito 'rddhitaḥ / vyāsaḥ śaraḥ śaronāñca vyāsāccharaguṇātpadam
The diameter, diminished by the root of the product of the sum and difference of the chord and the diameter, and halved, is the arrow (versine); and the root of the diameter diminished by the arrow and multiplied by the arrow,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.48
द्विघ्नं जीवाथ जीवार्द्धवर्गे शरहृते युते । व्यासोष्टतेभवेदेवं प्रोक्तं गणितकोविदैः
dvighnaṃ jīvātha jīvārddhavarge śarahṛte yute / vyāsoṣṭatebhavedevaṃ proktaṃ gaṇitakovidaiḥ
doubled, is the chord; and when the square of half the chord, divided by the arrow, is added (to the arrow), the diameter arises — thus it has been declared by those skilled in calculation.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.49
चापोननिघ्नः परिधिः प्रगङ्लः परिधेः कृते । तुर्यांशेन शरध्नेनाघेनिनाधं चतुर्गणम्
cāponanighnaḥ paridhiḥ pragaṅlaḥ paridheḥ kṛte / turyāṃśena śaradhnenāgheninādhaṃ caturgaṇam
The circumference multiplied by ... diminished by the arc ...; when the square of the circumference (is taken), by its fourth part multiplied by the arrow ... the four-fold (product),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.50
व्यासध्नं प्रभजेद्विप्र ज्या काशं जायते स्फुटा । ज्याङ्घ्रीषुध्नोवृत्तवर्गोबग्धिघ्नव्यासाढ्यमौर्विहृत्
vyāsadhnaṃ prabhajedvipra jyā kāśaṃ jāyate sphuṭā / jyāṅghrīṣudhnovṛttavargobagdhighnavyāsāḍhyamaurvihṛt
one should divide (that) multiplied by the diameter, O brahmin — the chord comes out accurate. The square of the circle multiplied by the fourth part of the chord and the arrow(?), increased by the diameter multiplied by ... and divided by the chord,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.51
लब्धोनवृत्तवर्गाद्रिपदेर्धात्पतिते धनुः । स्थूलमध्यापृवन्नवेधो वृत्ताङ्काशेषभागिकः
labdhonavṛttavargādripaderdhātpatite dhanuḥ / sthūlamadhyāpṛvannavedho vṛttāṅkāśeṣabhāgikaḥ
(When) the remainder has been subtracted, from the square of the circumference (?), from half of ... , the arc falls out (i.e. is obtained); the depth (vedha), coarse or middling, is a fraction of what remains of the circle's measure.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.52
वृत्ताङ्गांशकृतिर्वेधनिप्रीयनकरामितौ । वारिव्यासहतं दैर्ध्यंवेधाङ्गुलहतं पुनः
vṛttāṅgāṃśakṛtirvedhaniprīyanakarāmitau / vārivyāsahataṃ dairdhyaṃvedhāṅgulahataṃ punaḥ
The square of the parts of the circumference (multiplied) by the depth (gives) the measure in ...; the length multiplied by the diameter of the water(-vessel), and again multiplied by the depth in aṅgulas,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.53
खरवेन्दुरामविहतं मानं द्रोणादिवारिणः । विस्तारायामवेधानांमङ्गुल्योन्यनाडिघ्नाः
kharavendurāmavihataṃ mānaṃ droṇādivāriṇaḥ / vistārāyāmavedhānāṃmaṅgulyonyanāḍighnāḥ
multiplied by 1,152 (kha-ra-vendu-rāma), (gives) the measure of water in droṇas and so forth; the aṅgulas of breadth, length and depth, multiplied by one another's nāḍīs (?),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.54
रसांकाभ्राब्धिभिर्भक्ता धान्ये द्रोणादिकामितिः । उत्सेधव्यासदैर्ध्याणामङ्गुल्यान्यस्य नो द्विज
rasāṃkābhrābdhibhirbhaktā dhānye droṇādikāmitiḥ / utsedhavyāsadairdhyāṇāmaṅgulyānyasya no dvija
and divided by 4,096 (rasa-aṅka-abhra-abdhi), (give) the measure in droṇas etc. for grain; the aṅgulas of height, breadth and length — of the other (kind), O twice-born,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.55
मिथोघ्नाति भजेत्स्वाक्षेशैर्द्रेणादिमितिर्भवेत् । विस्ताराद्यं गुलान्येवं मिथोघ्नान्यपसांभवेत्
mithoghnāti bhajetsvākṣeśairdreṇādimitirbhavet / vistārādyaṃ gulānyevaṃ mithoghnānyapasāṃbhavet
multiplied together, one should divide by one's own (divisor); the measure in droṇas etc. results. The aṅgulas of breadth and so forth, likewise multiplied together, become (the measure) of ... ,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.56
वाणेभमार्गणैर्लब्धं द्रोणाद्यं मानमादिशेत् । दीपशङ्कुतलच्छिद्रघ्नः शङ्कुर्भैवंभवेन्मुने
vāṇebhamārgaṇairlabdhaṃ droṇādyaṃ mānamādiśet / dīpaśaṅkutalacchidraghnaḥ śaṅkurbhaivaṃbhavenmune
what is obtained by (dividing by) 555 (vāṇa-ibha-mārgaṇa) one should declare as the measure in droṇas and so forth. The gnomon multiplied by the hole at the base of the lamp-gnomon — such, O sage, the gnomon becomes.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.57
नरोन दीपकशिखौच्यभक्तो ह्यथ भोद्वने । शङ्कौनृदीपाधश्छिद्रघ्नैर्दीपौच्च्यं नरान्विते
narona dīpakaśikhaucyabhakto hyatha bhodvane / śaṅkaunṛdīpādhaśchidraghnairdīpauccyaṃ narānvite
Diminished by the (height of a) man and divided by the height of the lamp's flame, (the result) ... ; the gnomon multiplied by the hole below the man-lamp gives the lamp's height when the man is added.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.58
विंशकुदीपौच्चगुणाच्छाया शङ्कूद्धृता भवेत् । दीपशङ्क्वन्तरं चाथ च्छायाग्रविवरघ्नभा
viṃśakudīpauccaguṇācchāyā śaṅkūddhṛtā bhavet / dīpaśaṅkvantaraṃ cātha cchāyāgravivaraghnabhā
The shadow, multiplied by the height of the twenty (aṅgula) lamp and divided by the gnomon, results; and the interval between lamp and gnomon is the shadow multiplied by the gap at the shadow's tip.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.59
मानान्तरद्रुद्भूमिः स्यादथोभूनराहतिः । प्रभाप्ता जायते दीपशिखौच्च्यं स्यात्त्रिराशिकात्
mānāntaradrudbhūmiḥ syādathobhūnarāhatiḥ / prabhāptā jāyate dīpaśikhauccyaṃ syāttrirāśikāt
The ground would be (found) from the difference of the measures; then the product of the ground and the man, divided by the shadow, arises: the height of the lamp's flame results by the rule of three.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.60
एतत्संक्षेपतः प्रोक्तं गणिते परिकर्मकम् । ग्रहमध्यादिकं वक्ष्ये गणिते नातिविस्तरान्
etatsaṃkṣepataḥ proktaṃ gaṇite parikarmakam / grahamadhyādikaṃ vakṣye gaṇite nātivistarān
This much has been stated in brief as the fundamental operations in calculation; I shall next declare the mean (motion) of the planets and so forth in calculation, without too much elaboration.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.61
युगमानं स्मृतं विप्र खचतुष्करदार्णवाः । तद्दशांशास्तु चत्वारः कृताख्यं पादमुच्यते
yugamānaṃ smṛtaṃ vipra khacatuṣkaradārṇavāḥ / taddaśāṃśāstu catvāraḥ kṛtākhyaṃ pādamucyate
The measure of a yuga, O brahmin, is declared to be 4,320,000 (kha-catuṣka-rada-arṇava); four tenths of that are called the quarter named Kṛta.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.62
त्रयस्रेता द्वापरः द्वौ कलिरेकः प्रकीर्तितः । मनुकृताब्दसहिता युगानामेकसप्ततिः
trayasretā dvāparaḥ dvau kalirekaḥ prakīrtitaḥ / manukṛtābdasahitā yugānāmekasaptatiḥ
Three (tenths) are the Tretā, the Dvāpara two, the Kali is declared to be one; the years of a Manu, together with (those of) a Kṛta, are seventy-one yugas.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.63
विधेर्द्दिने स्युर्विप्रेन्द्र मनवस्तु चतुर्दश । तावत्येव निशा तस्य विप्रेन्द्र परिकीर्तिता
vidherddine syurviprendra manavastu caturdaśa / tāvatyeva niśā tasya viprendra parikīrtitā
In a day of the Creator, O best of brahmins, there are fourteen Manus; and just so long, O best of brahmins, is his night declared to be.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.64
स्वयंभुवा शरगतानब्दान्संपिण्ड्य नारद । खचरानयनं कार्यमथवेष्टयुगादितः
svayaṃbhuvā śaragatānabdānsaṃpiṇḍya nārada / khacarānayanaṃ kāryamathaveṣṭayugāditaḥ
Having summed up the years elapsed of Svayambhū (Brahmā), O Nārada, the computation of the heavenly bodies is to be made — or else from the beginning of the desired yuga.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.65
युगे सूर्यज्ञशुक्राणां खचतुष्करदार्णवाः । पूजार्किगुरुशुक्राणां भगणापूर्वपापिनाम्
yuge sūryajñaśukrāṇāṃ khacatuṣkaradārṇavāḥ / pūjārkiguruśukrāṇāṃ bhagaṇāpūrvapāpinām
In a yuga, of the Sun, Mercury and Venus (the revolutions are) 4,320,000; of Saturn, Jupiter and Venus the revolutions (are as follows) ...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.66
इन्दोरसाग्नित्रिषु सप्त भूधरमार्गणाः । दस्रत्र्याष्टरसांकाश्विलोचनानि कुजस्य तु
indorasāgnitriṣu sapta bhūdharamārgaṇāḥ / dasratryāṣṭarasāṃkāśvilocanāni kujasya tu
Of the Moon: 57,753,336 (rasa-agni-tri-sapta-sapta-bhū-dhara-mārgaṇa?); and of Mars: 2,296,832 (dasra-tri-aṣṭa-rasa-aṅka-aśvi-locana).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.67
बुधशीघ्रस्य शून्यर्तुखाद्रित्र्यङ्कनगेन्दवः । बृहस्पतेः खदस्राक्षिवेदस्रङ्हूयस्तथा
budhaśīghrasya śūnyartukhādritryaṅkanagendavaḥ / bṛhaspateḥ khadasrākṣivedasraṅhūyastathā
Of the śīghra (apogee) of Mercury: 0, 6, 0, 7, 3, 9, 7, 1 (as digit-words); and of Jupiter: 0, 2, 2, 4, 5, ... likewise.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.68
शितशीघ्रस्य यष्णसत्रियमाश्विस्वभूधराः । शनेर्भुजगषट्पचरसवेदनिशाकराः
śitaśīghrasya yaṣṇasatriyamāśvisvabhūdharāḥ / śanerbhujagaṣaṭpacarasavedaniśākarāḥ
Of the śīghra (apogee) of Venus: ... , 7, 2, 2, 1, 1, 7 (as digit-words); of Saturn: 8, 6, 5, 6, 4, 1 (bhujaga-ṣaṭ-pañca-rasa-veda-niśākara).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.69
चन्द्रोञ्चस्याग्निशून्याक्षिवसुसर्पार्णवा युगे । वामं पातस्य च स्वग्नियमाश्विशिखिदस्रकाः
candroñcasyāgniśūnyākṣivasusarpārṇavā yuge / vāmaṃ pātasya ca svagniyamāśviśikhidasrakāḥ
Of the Moon's apogee, in a yuga: 3, 0, 2, 8, 8, 4 (agni-śūnya-akṣi-vasu-sarpa-arṇava); and the westward (motion) of the node: 1, 3, 2, 7, 3, 2 (sva-agni-yama-aśvi-śikhi-dasra).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.70
उदयादुदयं भानोर्भूमैः साचेन वासराः । वसुव्द्यष्टाद्रिरूपाङ्कसप्ताद्रितिथयो युगे
udayādudayaṃ bhānorbhūmaiḥ sācena vāsarāḥ / vasuvdyaṣṭādrirūpāṅkasaptādritithayo yuge
From sunrise to sunrise are the civil days, reckoned on the earth; the tithis in a yuga are 8, 4, 8, 7, 1, 9, 7, 7 (as digit-words).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.71
षड् वहित्रिहुताशाङ्कतिथयश्चाधिमासकाः । तिथिक्षयायमार्थाक्षिद्व्यष्टव्योमशराश्विनः
ṣaḍ vahitrihutāśāṅkatithayaścādhimāsakāḥ / tithikṣayāyamārthākṣidvyaṣṭavyomaśarāśvinaḥ
Six ... the intercalary months are (given by the digits) vahi(?)-tri(three)-hutāśa(three)-aṅka(?)-tithi(fifteen); and for the omitted lunar days (tithikṣaya): yama(two)-artha(?)-akṣi(two)-dvi(two)-aṣṭa(eight)-vyoma(zero)-śara(five)-aśvin(two).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.72
रवचतुष्का समुद्राष्टकुर्पचरविमासकाः । षट्त्र्यग्निवेदग्निपञ्चशुभ्रांशुमासकाः
ravacatuṣkā samudrāṣṭakurpacaravimāsakāḥ / ṣaṭtryagnivedagnipañcaśubhrāṃśumāsakāḥ
(Then) the four (beginning with) rava(?) ...; the months (are) samudra(four)-aṣṭa(eight)-kurpa(?)-cara(?)-vi(?); (and) ṣaṭ(six)-tri(three)-agni(three)-veda(four)-agni(three)-pañca(five)-śubhrāṃśu(one) months.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.73
प्रागातेः सूर्यमन्दस्य कल्पेसप्ताष्टवह्नयः । कौजस्य वेदस्वयमा बौधस्याष्टर्तुवह्नयः
prāgāteḥ sūryamandasya kalpesaptāṣṭavahnayaḥ / kaujasya vedasvayamā baudhasyāṣṭartuvahnayaḥ
From the earlier motion(?): of the sun's apogee (mandocca), in a kalpa, sapta(seven)-aṣṭa(eight)-vahni(three); of Mars's, veda(four)-sva(?)-yama(two); of Mercury's, aṣṭa(eight)-ṛtu(six)-vahni(three).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.74
रवरवरन्ध्राणि जैवस्य शौक्रस्यार्धगुणेषवः । गोग्नयः शनिमन्दस्य पातानामथवा मतः
ravaravarandhrāṇi jaivasya śaukrasyārdhaguṇeṣavaḥ / gognayaḥ śanimandasya pātānāmathavā mataḥ
Of Jupiter's, rava(?)-rava(?)-randhra(nine); of Venus's, ardha(?)-guṇa(three)-iṣu(five); of Saturn's apogee, go(one)-agni(three). Or else (these figures) are held (to be those) of the nodes.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.75
मनुदस्रास्तु कौजस्य बौधस्याष्टाष्टसागराः । कृताद्रिचन्द्राजैवस्य रवैकस्याग्निरवनन्दकाः
manudasrāstu kaujasya baudhasyāṣṭāṣṭasāgarāḥ / kṛtādricandrājaivasya ravaikasyāgniravanandakāḥ
Of Mars, manu(fourteen)-dasra(two); of Mercury, aṣṭa(eight)-aṣṭa(eight)-sāgara(four); of Jupiter, kṛta(four)-adri(seven)-candra(one); of the sun(?) alone, agni(three)-rava(?)-nanda(nine).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.76
शनिपातस्य भगणाः कल्पे यमरसर्तवः । वर्तमानयुगे पानावत्सराभगणाभिधाः
śanipātasya bhagaṇāḥ kalpe yamarasartavaḥ / vartamānayuge pānāvatsarābhagaṇābhidhāḥ
The revolutions of Saturn's node in a kalpa (are) yama(two)-rasa(six)-ṛtu(six). In the current yuga (these are) called the years and revolutions of the node(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.77
मासीकृतायुता मासैर्मधुशुक्लादिभिर्गतैः । पृथक्त्थासिधिमासग्रासूर्यमासविभाजिताः
māsīkṛtāyutā māsairmadhuśuklādibhirgataiḥ / pṛthaktthāsidhimāsagrāsūryamāsavibhājitāḥ
Reduced to months and increased (thereby), (then) with the elapsed months beginning from the bright fortnight of Madhu (Caitra), (the result) placed separately is (to be) divided by the number of solar months in (the cycle of) intercalary months.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.78
अथाधिमासकैर्युक्ता दिनीकृत्य दिनान्विताः । द्विस्थास्तितिक्षयाभ्यस्ताश्चान्द्रवासरभाजिताः
athādhimāsakairyuktā dinīkṛtya dinānvitāḥ / dvisthāstitikṣayābhyastāścāndravāsarabhājitāḥ
Then, having been increased by the intercalary months, converted into days and increased by the (elapsed) days, (the sum), set down in two places, is multiplied by the omitted tithis and divided by the lunar days.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.79
लथोनरात्रिरहितालङ्कार्यामर्द्धरात्रिकाः । सावनोद्यूगसारर्कादिर्दिनमासाब्दयास्ततः
lathonarātrirahitālaṅkāryāmarddharātrikāḥ / sāvanodyūgasārarkādirdinamāsābdayāstataḥ
(The quotient), having removed the omitted days ... is to be made ... midnight(?); from that (comes) the civil reckoning, with the days, months and years beginning from the sun(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.80
सप्तिभिः क्षपितः शेषः मूर्याद्योवासरेश्वरः । मासाब्ददिनसंख्यासंद्वित्रिघ्नं रूपसंयुतम्
saptibhiḥ kṣapitaḥ śeṣaḥ mūryādyovāsareśvaraḥ / māsābdadinasaṃkhyāsaṃdvitrighnaṃ rūpasaṃyutam
Divided by seven, the remainder (gives) the lord of the weekday, counting from the sun. The count of months, years and days, multiplied by two and by three (respectively) and increased by one,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.81
सप्तोर्द्धनावशेषौ तौ विज्ञेयौ मासवर्षपौ । स्नेहस्य भगणाभ्यस्तो दिनराशिः कुवासरैः
saptorddhanāvaśeṣau tau vijñeyau māsavarṣapau / snehasya bhagaṇābhyasto dinarāśiḥ kuvāsaraiḥ
and divided by seven — those two remainders are to be known as the lords of the month and of the year. The mass of days, multiplied by the (planet's) revolutions, (is divided) by the civil days of the earth(?),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.82
विभाजितो मध्यगत्या भगणादिर्ग्रहो भवेत् । एवं ह्यशीघ्रमन्दाञ्चये प्रोक्ताः पूर्वपापिनः
vibhājito madhyagatyā bhagaṇādirgraho bhavet / evaṃ hyaśīghramandāñcaye proktāḥ pūrvapāpinaḥ
or divided by the mean motion, and the planet is obtained beginning with (its) revolutions. Thus indeed the śīghra and manda (apogees) have been declared ... as before.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.83
विलोमगतयः पातास्तद्वञ्चक्राष्विशोधिताः । योजनानि शतान्यष्टौ भूकर्णौं द्विगुणाः स्मृतः
vilomagatayaḥ pātāstadvañcakrāṣviśodhitāḥ / yojanāni śatānyaṣṭau bhūkarṇauṃ dviguṇāḥ smṛtaḥ
The nodes have retrograde motion; therefore they are to be subtracted from the circle (twelve signs). The earth's diameter is stated to be eight hundred yojanas doubled(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.84
तद्वर्गतो दशगुणात्पद भूपरिधिर्भवेत् । लंबज्याघ्नस्वजीवाप्तः स्फुटो भूपरिधिः स्वकः
tadvargato daśaguṇātpada bhūparidhirbhavet / laṃbajyāghnasvajīvāptaḥ sphuṭo bhūparidhiḥ svakaḥ
From the square of that, multiplied by ten, the square root gives the earth's circumference. Multiplied by the sine of co-latitude and divided by the radius, it is one's own true (local) circumference of the earth.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.85
तेन देशान्तराभ्यस्ता ग्रहभुक्तिर्विभाजिता । कलादितत्फलं प्रार्च्याः ग्रहेभ्यः परिशोधयेत्
tena deśāntarābhyastā grahabhuktirvibhājitā / kalāditatphalaṃ prārcyāḥ grahebhyaḥ pariśodhayet
By that (circumference) the planet's daily motion, multiplied by the longitude-difference (in yojanas), is divided; the resulting minutes and so forth are to be subtracted from the planets (of those places lying to the east?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.86
रेखाप्रतीचिसंस्थाने प्रक्षिपेत्स्युः स्वदेशतः । राक्षसातपदेवौकः शैलयोर्मध्यसूत्रगाः
rekhāpratīcisaṃsthāne prakṣipetsyuḥ svadeśataḥ / rākṣasātapadevaukaḥ śailayormadhyasūtragāḥ
For places situated west of the (prime) meridian one should add (it), according to one's own place. Rākṣasa's abode (Laṅkā), Ātapa(?), the gods' seat (Meru?) lie on the line through the middle of the two mountains(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.87
अवन्तिकारोहतिकं तथा सन्निहितं सरः । वारप्रवृत्तिवाग्देशे क्षयार्द्धेभ्यधिको भवेत्
avantikārohatikaṃ tathā sannihitaṃ saraḥ / vārapravṛttivāgdeśe kṣayārddhebhyadhiko bhavet
Avantī, Rohitaka, and likewise the Sannihita lake. In a country west (of the meridian) the beginning of the weekday becomes greater by half of the deficiency(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.88
तद्देशान्तरनाडीभिः पश्चादूने विनिर्दिशेत् । इष्टनाडीगुणा भुक्तिः षष्ट्या भक्ता कलादिकम्
taddeśāntaranāḍībhiḥ paścādūne vinirdiśet / iṣṭanāḍīguṇā bhuktiḥ ṣaṣṭyā bhaktā kalādikam
By the nāḍīs of the longitude-difference for that place, one should declare (the time) as less for a place to the west. The daily motion multiplied by the desired nāḍīs and divided by sixty (gives) minutes and so forth.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.89
गते शोद्ध्यं तथा योज्यं गम्ये तात्कालिको ग्रहः । भचक्रलिप्ताशीत्यंशः परमं दक्षिणोत्तरम्
gate śoddhyaṃ tathā yojyaṃ gamye tātkāliko grahaḥ / bhacakraliptāśītyaṃśaḥ paramaṃ dakṣiṇottaram
It is to be subtracted for time elapsed and likewise added for time to come: (thus) the planet for the given moment. The eightieth part of the minutes of the zodiacal circle is the maximum (deviation) north and south.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.90
विक्षिप्यते स्वपातेन स्वक्रान्त्यन्तादनुष्णगुः । तत्र वासं द्विगुणितजीवस्रिगुणितं कुजः
vikṣipyate svapātena svakrāntyantādanuṣṇaguḥ / tatra vāsaṃ dviguṇitajīvasriguṇitaṃ kujaḥ
The cool-rayed one (the moon) is deflected by its own node from the end of its own declination. There, Mars's (latitude) is the sine doubled and (then) tripled(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.91
बुधशुक्रार्कजाः पातैर्विक्षिप्यन्ते चतुर्गुणम् । राशिलिप्ताष्टमो भागः प्रथमं ज्यार्द्धमुच्यते
budhaśukrārkajāḥ pātairvikṣipyante caturguṇam / rāśiliptāṣṭamo bhāgaḥ prathamaṃ jyārddhamucyate
Mercury, Venus and Saturn are deflected by their nodes by four times (that amount). The eighth part of the minutes of a zodiacal sign is said to be the first half-chord (Rsine).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.92
ततो द्विभक्तलब्धोनमिश्रितं तद्द्वितीयकम् । आद्येनैव क्रमात्पिण्डान्भक्ताल्लब्धोनितैर्युतान्
tato dvibhaktalabdhonamiśritaṃ taddvitīyakam / ādyenaiva kramātpiṇḍānbhaktāllabdhonitairyutān
Then that second one is (got by) combining (the first) with (the first) diminished by the quotient of the division by two(?); by the first (Rsine) itself, in order, the quantities divided (by it), diminished by the quotients, are added (to the preceding).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.93
खण्डकाः स्युश्चतुर्विशा ज्यार्द्धपिण्डाः क्रमादमी । परमा पक्रमज्या तु सप्तरन्ध्रगुणेन्दवः
khaṇḍakāḥ syuścaturviśā jyārddhapiṇḍāḥ kramādamī / paramā pakramajyā tu saptarandhraguṇendavaḥ
These, in order, are the twenty-four segments, the (successive) Rsine quantities. But the greatest Rsine of declination is 1397 (seven, aperture(=nine), three, one).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.94
तद्गुमज्या त्रिजिवाप्ता तञ्चापं क्रान्तिरुच्यते । ग्रहं संशोध्य मन्दोञ्चत्तथा शीघ्नाद्विशोध्य च
tadgumajyā trijivāptā tañcāpaṃ krāntirucyate / grahaṃ saṃśodhya mandoñcattathā śīghnādviśodhya ca
Its Rsine, multiplied (by that) and divided by the radius — the arc of that is called the declination. Having corrected the planet, (subtract it) from the apogee, and likewise subtract it from the śīghra apex.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.95
शेषं कन्दपदन्तस्माद्भुजज्या कोटिरेव च । गताद्भुजज्याविषमे गम्यात्कोटिः पदे भवेत्
śeṣaṃ kandapadantasmādbhujajyā koṭireva ca / gatādbhujajyāviṣame gamyātkoṭiḥ pade bhavet
The remainder (gives) the quadrant; from that (come) the base-Rsine and the cosine. In an odd quadrant the base-Rsine is (reckoned) from the elapsed (part), and the cosine from the part still to come.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.96
समेति गम्याद्वाहुदज्या कोटिज्यानुगता भवेत् । लिप्तास्तत्त्वयमैर्भक्ता लब्धज्यापिण्डकं गतम्
sameti gamyādvāhudajyā koṭijyānugatā bhavet / liptāstattvayamairbhaktā labdhajyāpiṇḍakaṃ gatam
In an even (quadrant) the base-Rsine follows from the part to come, and the cosine from the part elapsed. The minutes, divided by 225, yield the elapsed Rsine-quantity.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.97
गतगम्यान्तराभ्यस्तं विभजेत्तत्त्वलोचनैः । तदवाप्तफलं योज्यं ज्यापिण्डे गतसंज्ञके
gatagamyāntarābhyastaṃ vibhajettattvalocanaiḥ / tadavāptaphalaṃ yojyaṃ jyāpiṇḍe gatasaṃjñake
(The remainder,) multiplied by the difference of the elapsed and the coming (Rsines), one should divide by 225; the result obtained from that is to be added to the Rsine-quantity called 'elapsed'.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.98
स्यात्क्रमज्याविधिश्चैवमुत्क्रमज्यागता भवेत् । लिप्तास्तत्त्वयमैर्भक्ता लब्धज्या पिण्डकं गतम्
syātkramajyāvidhiścaivamutkramajyāgatā bhavet / liptāstattvayamairbhaktā labdhajyā piṇḍakaṃ gatam
Such is the rule for the direct Rsine; and (thus) the versed Rsine is obtained. The minutes, divided by 225, yield the elapsed Rsine-quantity.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.99
गतगम्यान्तराभ्यस्तं विभजेत्तत्त्वलोचनैः । तदवाप्तफलं योज्यं ज्यापिण्डे गतसंज्ञके
gatagamyāntarābhyastaṃ vibhajettattvalocanaiḥ / tadavāptaphalaṃ yojyaṃ jyāpiṇḍe gatasaṃjñake
(The remainder,) multiplied by the difference of the elapsed and the coming (Rsines), one should divide by 225; the result obtained from that is to be added to the Rsine-quantity called 'elapsed'.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.100
स्यात्क्रमज्याविधिश्चैवमुक्रमज्यास्वपिस्मृतः । ज्यां प्रोह्य शेषं तत्त्वताश्वि हॄन्तं तद्विवरोद्धृम्
syātkramajyāvidhiścaivamukramajyāsvapismṛtaḥ / jyāṃ prohya śeṣaṃ tattvatāśvi hṝntaṃ tadvivaroddhṛm
Such is the rule for the direct Rsine, and the versed Rsine is remembered in the same way. Having subtracted the Rsine, the remainder is to be multiplied by 225(?) and divided by their difference.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.101
संख्यातत्त्वाश्विसंवर्ग्यसंयोज्यं धनुरुच्यते । रवेर्मन्दपरिध्यंशा मनवः शीतगोरदाः
saṃkhyātattvāśvisaṃvargyasaṃyojyaṃ dhanurucyate / ravermandaparidhyaṃśā manavaḥ śītagoradāḥ
Multiplied by 225 and added (to the arc), it is called the arc (bow). The degrees of the sun's manda epicycle are fourteen; those of the cold-rayed one (the moon) are thirty-two(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.102
युग्मान्ते विषमान्ते तुनखलिप्तोनितास्तयोः । युग्मान्तेर्थाद्रयः खाग्निसुराः सूर्या नवार्णवाः
yugmānte viṣamānte tunakhaliptonitāstayoḥ / yugmānterthādrayaḥ khāgnisurāḥ sūryā navārṇavāḥ
At the end of an even (quadrant) and at the end of an odd (quadrant), the two are diminished by twenty(?) minutes. At the end of an even (quadrant) for these: seven, three(?); thirty(?); twelve(?); forty-nine(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.103
ओजेद्व्यगा च सुयमारदारुद्रागजाब्धयः । कुजादीनामतः शौघ्न्यायुग्मान्तेर्थाग्निदस्रकाः
ojedvyagā ca suyamāradārudrāgajābdhayaḥ / kujādīnāmataḥ śaughnyāyugmānterthāgnidasrakāḥ
And at the end of an odd (quadrant) it is two-and-... : (then) the good-restrained(?), eleven, eight, four. Hence, for Mars and the rest, in the śīghra (operation), at the end of an even (quadrant): three(?), three, two.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.104
गुणाग्निचन्द्राः खनगाद्विरसाक्षीणि गो ऽग्रयः । ओजान्ते द्वित्रियमताद्विविश्वेयमपर्वताः
guṇāgnicandrāḥ khanagādvirasākṣīṇi go 'grayaḥ / ojānte dvitriyamatādviviśveyamaparvatāḥ
Three, three, one; ... two, six, two; one, three(?). At the end of an odd (quadrant): two, three, two; two, thirteen, two, seven.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.105
खर्तुदस्नाविपद्वेदाः शीघ्नकर्मणि कीर्तिताः । ओजयुग्मान्तरगुणाभुजज्यात्रिज्ययोद्धृताः
khartudasnāvipadvedāḥ śīghnakarmaṇi kīrtitāḥ / ojayugmāntaraguṇābhujajyātrijyayoddhṛtāḥ
(These figures) are declared for the śīghra operation. The difference between the odd and even (epicycles), multiplied by the base-Rsine and divided by the radius,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.106
युग्मवृत्तेधनर्णश्यादोजादूने ऽधिके स्फुटम् । तद्गुणे भुजकोटिज्येभगणांशविभाजिते
yugmavṛttedhanarṇaśyādojādūne 'dhike sphuṭam / tadguṇe bhujakoṭijyebhagaṇāṃśavibhājite
is positive or negative in the even circle, when it is less or greater than the odd — (thus) it is exact. Multiplied by that, the base-Rsine and the cosine, divided by the degrees of a circle (360),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.107
तद्भुजज्याफलधनुर्मान्दं लिप्तादिकं फलम् । शैऽयकोटिफलं केन्द्रे मकरादौ धनं स्मृतम्
tadbhujajyāphaladhanurmāndaṃ liptādikaṃ phalam / śai'yakoṭiphalaṃ kendre makarādau dhanaṃ smṛtam
the arc of that base-Rsine result is the manda correction, the result in minutes and so on. The cosine-result of the śīghra is held to be additive when the anomaly begins with Capricorn,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.108
संशोध्यं तु त्रिजीवायां कर्कादौ कोटिजं फलम् । तद्बाहुफलवर्गैक्यान्मूलकर्णश्चलाभिधः
saṃśodhyaṃ tu trijīvāyāṃ karkādau koṭijaṃ phalam / tadbāhuphalavargaikyānmūlakarṇaścalābhidhaḥ
but the cosine result is to be subtracted from the radius when (the anomaly) begins with Cancer. From the sum of the squares of that and of the base-result, the root is the hypotenuse called 'moving'.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.109
त्रिज्याभ्यस्तं भुजफलं मकरादौ धनं स्मृतम् । संशोध्यं तु त्रिजीवायां कर्कादौ कोटिजं फलम्
trijyābhyastaṃ bhujaphalaṃ makarādau dhanaṃ smṛtam / saṃśodhyaṃ tu trijīvāyāṃ karkādau koṭijaṃ phalam
The base-result multiplied by the radius is held to be additive when (the anomaly) begins with Capricorn; but the cosine result is to be subtracted from the radius when it begins with Cancer.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.110
तद्बाहुफलवर्गैक्यान्मूलं कर्णश्चलाभिधः । त्रिज्याभघ्यस्तं भुजफलं पलकर्णविभाजितम्
tadbāhuphalavargaikyānmūlaṃ karṇaścalābhidhaḥ / trijyābhaghyastaṃ bhujaphalaṃ palakarṇavibhājitam
From the sum of the squares of that and of the base-result, the root is the hypotenuse called 'moving'. The base-result multiplied by the radius is divided by the hypotenuse (of the moment),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.111
लब्धस्य चापं लिप्तादि फलं शैध्र्यमिदं स्मृतम् । एतदादौ कुजादीनां चतुर्थे चैव कर्मणि
labdhasya cāpaṃ liptādi phalaṃ śaidhryamidaṃ smṛtam / etadādau kujādīnāṃ caturthe caiva karmaṇi
The arc of what is obtained, in minutes and so on, is the result known as the śīghra (fast) correction; (it comes) first for Mars and the rest, and again in the fourth operation.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.112
मान्द्यं कर्मैकमर्केन्द्वोर्भौन्द्वोर्भौंमादीनामाथोच्यते । शैर्ध्यं माद्यं पुनर्मान्द्यं शैर्घ्यं चत्वार्यनुक्रमात्
māndyaṃ karmaikamarkendvorbhaundvorbhauṃmādīnāmāthocyate / śairdhyaṃ mādyaṃ punarmāndyaṃ śairghyaṃ catvāryanukramāt
For the Sun and the Moon the manda (slow) operation is a single one; now, for Mars and the others it is stated: fast, slow, again slow, fast — four in order.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.113
अजा दिकेन्द्रे सर्वेषां मान्द्ये शैर्घ्ये च कर्मणि । धनं ग्रहाणां लिप्तादि तुलादावृणमेव तत्
ajā dikendre sarveṣāṃ māndye śairghye ca karmaṇi / dhanaṃ grahāṇāṃ liptādi tulādāvṛṇameva tat
When the anomaly is in Aries and the following (signs), for all (planets), in both the slow and the fast operation, the quantity in minutes and so on is additive for the planets; from Libra onward it is subtractive.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.114
अर्कबाहुफलाभ्यस्ता ग्रहभुक्तिविभाजिताः । भचक्रकलिकाभिस्तु लिप्ताः कार्या ग्रहेर्ऽकवत्
arkabāhuphalābhyastā grahabhuktivibhājitāḥ / bhacakrakalikābhistu liptāḥ kāryā graher'kavat
(The quantities), multiplied by the Sun's bāhuphala and divided by the planet's daily motion, and (taken) with the minutes of the zodiacal circle, are to be made into minutes for the planet as (is done) for the Sun.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.115
ग्रहभक्तः फलं कार्यं ग्रहवन्मन्दकर्मणि । कर्कादौ तद्धनं तत्र मकरादावृणं स्मृतम्
grahabhaktaḥ phalaṃ kāryaṃ grahavanmandakarmaṇi / karkādau taddhanaṃ tatra makarādāvṛṇaṃ smṛtam
Divided by (the motion of) the planet, the result is to be applied as for the planet in the manda operation; there, from Cancer onward it is additive, from Capricorn onward it is said to be subtractive.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.116
दोर्ज्योत्तरगुणाभुक्तिस्तत्त्वनेत्रोद्धृता पुनः । स्वमन्दपरिधिक्षुण्णा भगणांशोद्धृताःकलाः
dorjyottaraguṇābhuktistattvanetroddhṛtā punaḥ / svamandaparidhikṣuṇṇā bhagaṇāṃśoddhṛtāḥkalāḥ
The sine of the bhuja, multiplied by the ... and (that) motion, divided by twenty-five (tattva-netra), then multiplied by one's own manda epicycle and divided by the degrees of the circle, (gives) minutes.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.117
मन्दस्फुटकृता भुक्तिः शीघ्नोच्चभुक्तितः । तच्छेषं विवरेणाथ हन्यात्रिज्याङ्ककर्णयोः
mandasphuṭakṛtā bhuktiḥ śīghnoccabhuktitaḥ / taccheṣaṃ vivareṇātha hanyātrijyāṅkakarṇayoḥ
The daily motion made true by the manda (correction), (subtracted) from the motion of the śīghra apogee; then one should multiply that remainder by the difference of the radius and the (calculated) hypotenuse.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.118
चक्रकर्णहृतं भुक्तौ कर्णे त्रिज्याधिके धनम् । ऋणमूने ऽधिके प्रोह्य शेषं वक्रगतिर्भवेत्
cakrakarṇahṛtaṃ bhuktau karṇe trijyādhike dhanam / ṛṇamūne 'dhike prohya śeṣaṃ vakragatirbhavet
Divided by the hypotenuse of the circle, it is additive to the motion when the hypotenuse exceeds the radius, and subtractive when it is less; when it is greater (than the motion), having subtracted, the remainder becomes retrograde motion.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.119
कृतर्तुचन्द्रैर्वेदेन्द्रैः शून्यत्र्येकैर्गुणाष्टभिः । शररुद्रैश्चतुर्यांशुकेन्द्रांशेर्भूसुतादयः
kṛtartucandrairvedendraiḥ śūnyatryekairguṇāṣṭabhiḥ / śararudraiścaturyāṃśukendrāṃśerbhūsutādayaḥ
By 164, 144, 130, 83 and 115 degrees of anomaly, Mars and the rest (become retrograde).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.120
वक्रिणश्चक्रशुद्धैस्तैरंशैरुजुतिवक्रताम् । क्रमज्या विषुवद्भाघ्नी क्षितिज्या द्वादशोद्धृता
vakriṇaścakraśuddhaistairaṃśairujutivakratām / kramajyā viṣuvadbhāghnī kṣitijyā dvādaśoddhṛtā
With those degrees subtracted from the circle, retrograde (planets) regain direct motion. The kramajyā, multiplied by the equinoctial shadow and divided by twelve, is the earth-sine (kṣitijyā).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.121
त्रिज्यागुणा दिनव्यासभक्ता चापं च शत्रवः । तत्कार्मुकमुदक्रान्तौ धनहीनो पृथक्क्षते
trijyāguṇā dinavyāsabhaktā cāpaṃ ca śatravaḥ / tatkārmukamudakrāntau dhanahīno pṛthakkṣate
Multiplied by the radius and divided by the day-diameter, and (turned into) an arc — ... that arc, when the declination is north, is additive and subtractive respectively when taken separately.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.122
स्वाहोरात्रचतुर्भागेदिनरात्रिदले स्मृते । याम्यक्रान्तौ विपर्यस्ते द्विगुणैते दिनक्षये
svāhorātracaturbhāgedinarātridale smṛte / yāmyakrāntau viparyaste dviguṇaite dinakṣaye
In a quarter of one's own day-and-night the halves of day and of night are declared; when the declination is south it is reversed; these, doubled, (give) the day and the night.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.123
भभोगो ऽष्टशतीर्लिप्ताः स्वाशिवशैलोस्तथात्तिथेः । ग्रहलिप्ता भगाभोगाभानि भुक्त्यादिनादिकम्
bhabhogo 'ṣṭaśatīrliptāḥ svāśivaśailostathāttitheḥ / grahaliptā bhagābhogābhāni bhuktyādinādikam
The bhoga of a nakṣatra is eight hundred minutes ... and likewise that of a tithi; the planet's minutes divided by the nakṣatra-bhoga give the nakṣatras, and (divided) by the daily motion, the days and nāḍīs.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.124
रवीन्दुयोगलिप्तास्तु योगाभभोगभाजिताः । गतगम्याश्च षष्टिघ्ना भुक्तियोगाप्तनाडिकाः
ravīnduyogaliptāstu yogābhabhogabhājitāḥ / gatagamyāśca ṣaṣṭighnā bhuktiyogāptanāḍikāḥ
The minutes of the sum of Sun and Moon, divided by the bhoga of a yoga (give the yogas); and the elapsed and remaining (portions), multiplied by sixty and divided by the sum of the two motions, (give) the nāḍīs.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.125
अर्केनचन्द्रलिप्तास्तु तिथयो भोगभाजिताः । गतगम्याश्च षष्टिघ्ना नातोभुक्ततरोद्धृताः
arkenacandraliptāstu tithayo bhogabhājitāḥ / gatagamyāśca ṣaṣṭighnā nātobhuktataroddhṛtāḥ
The minutes of the Moon diminished by the Sun, divided by the bhoga, are the tithis; and the elapsed and remaining (portions), multiplied by sixty and divided by the difference of the motions (give the nāḍīs).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.126
तिथयः शुक्लप्रतिपदो द्विघ्नाः सैका न गाहताः । शेषं बवो बालवश्च कौलवस्तैतिलो गरः
tithayaḥ śuklapratipado dvighnāḥ saikā na gāhatāḥ / śeṣaṃ bavo bālavaśca kaulavastaitilo garaḥ
The tithis (counted) from the first day of the bright fortnight, doubled and increased by one, (divided by seven, are not to be reckoned...); the remainder (gives) Bava, Bālava, Kaulava, Taitila, Gara,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.127
वणिजोभ्रे भवेद्विष्टिः कृष्णभूतापरार्द्धतः । शकुनिर्नागाश्च चतुष्पद किंस्तुघ्नमेव च
vaṇijobhre bhavedviṣṭiḥ kṛṣṇabhūtāparārddhataḥ / śakunirnāgāśca catuṣpada kiṃstughnameva ca
Vaṇija, and (then) Viṣṭi occurs; from the latter half of the dark (fortnight), Śakuni, Nāga, Catuṣpada, and Kiṃstughna.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.128
शिलातलेवसंशुद्धे वज्रलेपेतिवासमे । तत्र शकाङ्गुलैरिष्टैः सममण्डलमालिखेत्
śilātalevasaṃśuddhe vajralepetivāsame / tatra śakāṅgulairiṣṭaiḥ samamaṇḍalamālikhet
On a well-cleaned stone surface, or on a very level coat of hard plaster (vajralepa), one should there draw an even circle with as many aṅgulas (of radius) as one wishes.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.129
तन्मध्ये स्थापयेच्छङ्कुं कल्पना द्द्वादशाङ्गुलम् । तच्छायाग्रं स्पृशेद्यत्र दत्तं पूर्वापराह्नयोः
tanmadhye sthāpayecchaṅkuṃ kalpanā ddvādaśāṅgulam / tacchāyāgraṃ spṛśedyatra dattaṃ pūrvāparāhnayoḥ
In its centre one should set a gnomon reckoned as twelve aṅgulas; where the tip of its shadow touches (the circle), (a mark is) placed in the forenoon and in the afternoon.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.130
तत्र बिन्दुं विधायोभौ वृत्ते पूर्वापराभिधौ । तन्मध्ये तिमिना रेखा कर्तव्या दक्षिणोत्तत
tatra binduṃ vidhāyobhau vṛtte pūrvāparābhidhau / tanmadhye timinā rekhā kartavyā dakṣiṇottata
There, having made both points on the circle, called east and west, between them a line running south and north should be made by means of a fish-figure.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.131
याम्योत्तरदिशोर्मध्ये तिमिना पूर्वपश्चिमा । दिग्मध्यमत्स्यैः संसाध्या विदिशस्तद्वदेव हि
yāmyottaradiśormadhye timinā pūrvapaścimā / digmadhyamatsyaiḥ saṃsādhyā vidiśastadvadeva hi
Between the southern and northern directions the east-west (line) is to be established by means of a fish(-figure); the intermediate directions are to be fixed in just the same way, by fishes (drawn) in the middle of the (cardinal) directions.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.132
चतुरस्तं बहिः कुर्यात्सूत्रैर्मध्याद्विनिःसृतैः । भुजसूत्राङ्गुलैस्तत्र दत्तैरिष्टप्रभा मता
caturastaṃ bahiḥ kuryātsūtrairmadhyādviniḥsṛtaiḥ / bhujasūtrāṅgulaistatra dattairiṣṭaprabhā matā
Outside one should make a square with threads issuing from the centre; the desired shadow is reckoned there by the digits of the side-threads laid down.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.133
प्राङ्क्पश्चिमाश्रिता रेखा प्रोच्यते सममण्डलम् । भमण्डलं च विषुवन्मण्डलं परिकीर्तितम्
prāṅkpaścimāśritā rekhā procyate samamaṇḍalam / bhamaṇḍalaṃ ca viṣuvanmaṇḍalaṃ parikīrtitam
The line lying east and west is called the prime vertical circle (samamaṇḍala); and the circle of the asterisms is declared to be the equinoctial circle.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.134
रेखा प्राच्यपरा साध्या विषुवद्भाग्रया तथा । इष्टच्छायाविषुवतोर्मध्येह्यग्राभिधीयते
rekhā prācyaparā sādhyā viṣuvadbhāgrayā tathā / iṣṭacchāyāviṣuvatormadhyehyagrābhidhīyate
A line east and west is to be constructed, and likewise (one) through the tip of the equinoctial shadow; that which lies between the desired shadow and the equinoctial (shadow) is called the agrā.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.135
शङ्कुच्छायाकृतियुतेर्मूलं कर्ंणो ऽय वर्गतः । प्रोह्य शङ्कुकृते मूलं छाया शेकुविपर्ययात्
śaṅkucchāyākṛtiyutermūlaṃ karṃṇo 'ya vargataḥ / prohya śaṅkukṛte mūlaṃ chāyā śekuviparyayāt
The root of the sum of the squares of the gnomon and the shadow is the hypotenuse; from the square of that, subtracting the square of the gnomon, the root is the shadow — and conversely (for) the gnomon.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.136
त्रिंशत्कृत्योयुगे भानां चक्रं प्राक्परिलंबते । तद्गुणाद्भदिनैर्भक्त्या द्युगणाद्यदवाप्यते
triṃśatkṛtyoyuge bhānāṃ cakraṃ prākparilaṃbate / tadguṇādbhadinairbhaktyā dyugaṇādyadavāpyate
In a yuga the circle of the asterisms lags (?) eastward thirty times ...; multiplied by that and divided by the days of the asterisms, whatever is obtained from the day-count (ahargaṇa) ...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.137
तद्दोस्रिव्नादशाध्नांशा विज्ञेया अयतानिधाः । तत्संस्वकृताद्धहात्कान्तिच्छायावरदलादिकम्
taddosrivnādaśādhnāṃśā vijñeyā ayatānidhāḥ / tatsaṃsvakṛtāddhahātkānticchāyāvaradalādikam
Its degrees ... are to be known as ...; from the sum of its own squares (?) come the declination, the shadow, the half-... and the rest.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.138
शङ्कुच्छायाहते त्रिज्ये विषुवत्कर्कभाजिते । लंबाक्षज्ये तयोश्छाये लंबाक्षौ दक्षिमौ सदा
śaṅkucchāyāhate trijye viṣuvatkarkabhājite / laṃbākṣajye tayośchāye laṃbākṣau dakṣimau sadā
The radius (trijyā), multiplied by the gnomon and by the shadow (respectively) and divided by the equinoctial hypotenuse, gives the sine of co-latitude and the sine of latitude; of those two, the two shadows (are found); the co-latitude and latitude are always southern.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.139
साक्षार्कापक्रमयुतिर्द्दिक्साम्येन्तरमन्यथा । शेषह्यानांशाः सूर्यस्य तद्वाहुज्याथ कोटिजाः
sākṣārkāpakramayutirddiksāmyentaramanyathā / śeṣahyānāṃśāḥ sūryasya tadvāhujyātha koṭijāḥ
The sum of one's own latitude and the sun's declination when the directions are the same, otherwise the difference; the remainder is the sun's degrees of ... ; then its bhujajyā and koṭijyā (are found).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.140
शङ्कुमानाङ्गुलाभ्यस्ते भुजत्रिज्ये यथाङ्क्रमम् । कोटीज्ययाविभज्याप्ते छायाकर्माबहिर्द्दले
śaṅkumānāṅgulābhyaste bhujatrijye yathāṅkramam / koṭījyayāvibhajyāpte chāyākarmābahirddale
The bhujajyā and the radius, each multiplied by the gnomon's measure in digits in order, and divided by the koṭijyā, yield the shadow and the hypotenuse ...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.141
स्वाक्षार्कनतभागानां दिक्साम्ये ऽतरमन्यथा । दिग्भेदोपक्रमः शेषस्तस्य ज्या त्रिज्यया हता
svākṣārkanatabhāgānāṃ diksāmye 'taramanyathā / digbhedopakramaḥ śeṣastasya jyā trijyayā hatā
(Take) the difference of one's own latitude and the sun's zenith-distance degrees when the directions are the same, otherwise (the sum); when the directions differ, the remainder is the declination; its sine multiplied by the radius,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.142
परमोपक्रमज्याप्त चापमेपादिगो रविः । कर्कादौ प्रोह्यचक्रार्द्धात्तुलादौ भार्द्धसंयुतात्त
paramopakramajyāpta cāpamepādigo raviḥ / karkādau prohyacakrārddhāttulādau bhārddhasaṃyutātta
and divided by the sine of the greatest declination — (from) the arc (of that) the sun is at the beginning of Aries; in Cancer etc. subtract it from half the circle; in Libra etc. add it to half the circle;
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.143
मृगादौ प्रोह्यचक्रात्तु मध्याह्नेर्ऽकः स्फुटो भवेत् । तन्मन्दमसकृद्धामंफलं मध्यो दिवाकरः
mṛgādau prohyacakrāttu madhyāhner'kaḥ sphuṭo bhavet / tanmandamasakṛddhāmaṃphalaṃ madhyo divākaraḥ
in Capricorn etc. subtract it from the (whole) circle — thus the true midday sun is obtained; (applying) its apogee correction repeatedly, (one gets) the mean sun.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.144
ग्रहोदयाः प्राणहताः खखाष्टैकोद्धता गतिः । चक्रासवो लब्धयुती स्व्रहोरात्रासवः स्मृताः
grahodayāḥ prāṇahatāḥ khakhāṣṭaikoddhatā gatiḥ / cakrāsavo labdhayutī svrahorātrāsavaḥ smṛtāḥ
The risings of the planets multiplied by the prāṇas and divided by 21600 give the motion; the asus of the circle increased by what is obtained are said to be the asus of one's own day and night.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.145
त्रिभद्युकर्णार्द्धगुणा स्वाहोरात्रार्द्धभाजिताः । क्रमादेकद्वित्रिभघाज्या तच्चापानि पृथक् पृथक्
tribhadyukarṇārddhaguṇā svāhorātrārddhabhājitāḥ / kramādekadvitribhaghājyā taccāpāni pṛthak pṛthak
The half-hypotenuses (?) multiplied by the radius diminished by three signs and divided by half of one's own day-and-night, are in order the sines of one, two and three signs; their arcs (are taken) separately,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.146
स्वाधोधः प्रविशोध्याथ मेषाल्लङ्कोदयासवः । स्वागाष्टयोर्थगोगैकाः शरत्र्येकं हिमांशवः
svādhodhaḥ praviśodhyātha meṣāllaṅkodayāsavaḥ / svāgāṣṭayorthagogaikāḥ śaratryekaṃ himāṃśavaḥ
and subtracting each from the one below it, one gets the rising-asus at Laṅkā from Aries onward: 1670, 1795, 1935 (?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.147
स्वदेशचरखण्डोना भवन्तीष्टोदयासवः । व्यस्ताव्यस्तैर्युतास्तैस्तैः कर्कटाद्यास्ततस्तु यः
svadeśacarakhaṇḍonā bhavantīṣṭodayāsavaḥ / vyastāvyastairyutāstaistaiḥ karkaṭādyāstatastu yaḥ
Diminished by the ascensional-difference segments of one's own country, they become the rising-asus for one's place; increased by those same (segments) in reverse and non-reverse order, (one gets those) from Cancer onward; and then, whichever ...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.148
उत्क्रमेण षडेवैते भवन्तीष्टास्तुलादयः । गतभोग्यासवः कार्याः सायनाःस्वेष्टभास्कराः
utkrameṇa ṣaḍevaite bhavantīṣṭāstulādayaḥ / gatabhogyāsavaḥ kāryāḥ sāyanāḥsveṣṭabhāskarāḥ
these same six, in reverse order, become the desired (ascensions) from Libra onward; the elapsed and the to-be-traversed asus are to be computed for one's own desired sun with the precession added.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.149
स्वोदयात्सुहता भक्ता भक्तभोग्याः स्वमानतः । अभिष्टधटिकासुभ्यो भोग्यासून्प्रविशोधयेत्
svodayātsuhatā bhaktā bhaktabhogyāḥ svamānataḥ / abhiṣṭadhaṭikāsubhyo bhogyāsūnpraviśodhayet
Multiplied by ... from their own rising and divided, the elapsed and the to-be-traversed (asus are found) from their own measure; from the asus of the desired ghaṭikās one should subtract the asus to be traversed.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.150
तद्वदेवैष्यलग्नासूनेवं व्याप्तास्तथा क्रमात् । शेषं त्रिंशत्क्रमाद्ध्यस्तमशुद्धेन विभाजितम्
tadvadevaiṣyalagnāsūnevaṃ vyāptāstathā kramāt / śeṣaṃ triṃśatkramāddhyastamaśuddhena vibhājitam
In just that way the asus of the coming ascendant; thus they are obtained in order; the remainder, multiplied by thirty in order, is divided by the undivided (portion),
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.151
भागयुक्तं च हीनं च व्ययनांशं तनुः कुजे । प्राक्पश्चान्नतनाडीभ्यस्तद्वल्लङ्कोदयासुभिः
bhāgayuktaṃ ca hīnaṃ ca vyayanāṃśaṃ tanuḥ kuje / prākpaścānnatanāḍībhyastadvallaṅkodayāsubhiḥ
(That quantity,) increased by the degrees and diminished (by them), (gives) the degree of the twelfth house; the ascendant (is obtained) in (the sign of) Mars(?); (it is to be reckoned) eastward or westward by the nāḍīs of declination, and likewise by the rising-times (asus) at Laṅkā.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.152
भानौ क्षयधने कृत्वा मध्यलग्नं तदा भवेत् । भोग्यासूनूनकस्याथ भुक्तासूनधिकस्य च
bhānau kṣayadhane kṛtvā madhyalagnaṃ tadā bhavet / bhogyāsūnūnakasyātha bhuktāsūnadhikasya ca
Having applied (it) to the sun as a subtractive or additive quantity, the mid-heaven point then results; and (this holds) for the case of the deficient (portion of) asus yet to be traversed, and for the case of the excess (portion of) asus already traversed.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.153
सपिण्ड्यान्तरलग्नासूनेवं स्यात्कालसाधनम् । विराह्वर्कभुजांशाश्चेदिन्द्राल्पाः स्याद् ग्रहो विधोः
sapiṇḍyāntaralagnāsūnevaṃ syātkālasādhanam / virāhvarkabhujāṃśāścedindrālpāḥ syād graho vidhoḥ
Having added them together, the asus of the intervening ascendant (are found); thus is the determination of the time. If the degrees of the sun's bhuja, less forty, are less than fourteen, there will be an eclipse of the moon.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.154
तेषां शिवघ्नाः शैलाप्ता व्यावर्काजः शराएङ्गुलैः । अर्कं विधुर्विधुं भूभा छादयत्यथा छन्नकम्
teṣāṃ śivaghnāḥ śailāptā vyāvarkājaḥ śarāeṅgulaiḥ / arkaṃ vidhurvidhuṃ bhūbhā chādayatyathā channakam
Those (degrees), multiplied by eleven and divided by seven, (give) ... the sun ... in digits (aṅgulas) together with the latitude (śara). The moon covers the sun, and the earth's shadow covers the moon; then (comes) the covered part.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.155
छाद्यछादकमानार्धं शरोनं ग्राह्यवर्जितम् । तत्स्वच्छन्नं च मानैक्यार्द्धांशषष्टं दशाहतम्
chādyachādakamānārdhaṃ śaronaṃ grāhyavarjitam / tatsvacchannaṃ ca mānaikyārddhāṃśaṣaṣṭaṃ daśāhatam
Half the sum of the measures of the covered and the covering (body), diminished by the latitude and with the eclipsed body's (measure) removed — that is its own covered portion; and half the sum of the two measures, its sixtieth part multiplied by ten...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.156
छन्नघ्नमस्मान्मूलं तु खाङ्गोनग्लौवपुर्हृतम् । स्थित्यर्द्धं घटिकादिस्याद्व्यङ्गबाह्वंशसंमितैः
channaghnamasmānmūlaṃ tu khāṅgonaglauvapurhṛtam / sthityarddhaṃ ghaṭikādisyādvyaṅgabāhvaṃśasaṃmitaiḥ
Multiplied by the covered (amount) — the square root of this, divided by the moon's diameter diminished by ten(?), is half the duration in ghaṭikās and so on, measured by the degrees of the bhuja less three(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.157
इष्टैः पलैस्तदूनाढ्यं व्यगावूनेर्ऽकषङ्गुणः । तदन्यथाधिके तस्मिन्नेवं स्पष्टे सुखान्त्यगे
iṣṭaiḥ palaistadūnāḍhyaṃ vyagāvūner'kaṣaṅguṇaḥ / tadanyathādhike tasminnevaṃ spaṣṭe sukhāntyage
By the desired palas (that quantity is) diminished or increased; ... the sun (multiplied) sixfold; otherwise, when that is in excess — thus, when (the planet) is exact and (stands) at the end (of its course).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.158
ग्रासेन स्वाहते च्छाद्यमानामे स्युर्विशोपकाः । पूर्णान्तं मध्यमत्र स्याद्दर्शान्तेञ्जं त्रिभोनकम्
grāsena svāhate cchādyamānāme syurviśopakāḥ / pūrṇāntaṃ madhyamatra syāddarśānteñjaṃ tribhonakam
When the measure of the covered body is multiplied by the obscuration and divided (by it), the results are viśopakas. Here the middle of the eclipse will be the end of totality; at the end of the new moon (comes) the (moon's) position less three signs.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.159
पृथक् तत्क्रान्त्यक्षभागसंस्कृतौ स्युर्नतांशकाः । तद्दिघ्नांशकृतिद्व्यूनार्द्धार्कयुता हरिः
pṛthak tatkrāntyakṣabhāgasaṃskṛtau syurnatāṃśakāḥ / taddighnāṃśakṛtidvyūnārddhārkayutā hariḥ
Separately, when those two are corrected by the degrees of declination and of latitude, the degrees of zenith-distance result; the square of those degrees multiplied by ten, less two, halved and added to twelve, (gives) the divisor.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.160
त्रिभानाङ्गार्कविश्लेषांशो ःंशोनघ्नाः । पुरन्दराः हराप्तालंबनं स्वर्णवित्रिभेर्काधिकोनके
tribhānāṅgārkaviśleṣāṃśo ḥṃśonaghnāḥ / purandarāḥ harāptālaṃbanaṃ svarṇavitribherkādhikonake
The degrees of the difference between the sun and the (point) three signs (before it), multiplied by the degrees less ..., (give) fourteen(?); divided by the divisor, (that is) the parallax, positive or negative according as (the longitude) is greater or less than the point three signs behind.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.161
विश्वघ्नलंबनकलाढ्योनस्तु तिथिवद्यगुः । शरोनोलंबनषडघ्ने तल्लवाढ्योनवित्रिभात्
viśvaghnalaṃbanakalāḍhyonastu tithivadyaguḥ / śaronolaṃbanaṣaḍaghne tallavāḍhyonavitribhāt
(The quantity) increased or decreased by the parallax-minutes multiplied by thirteen goes as in the case of the tithi; the latitude diminished (by it), multiplied by six times the parallax, increased or decreased by that fraction, (reckoned) from the point three signs behind.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.162
नतांशास्तजांसाने प्राधृतस्तद्विवर्जित । शब्देन्दुलिप्तैः षड्भिस्तु भक्तानतिर्नतिर्नतांशदिक्
natāṃśāstajāṃsāne prādhṛtastadvivarjita / śabdenduliptaiḥ ṣaḍbhistu bhaktānatirnatirnatāṃśadik
The degrees of zenith-distance ... (and) that which is taken away from them; divided by the six hundred and sixty(?) minutes, (the result is) the deflection (nati); the direction of the nati is the direction of the zenith-distance degrees.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.163
तयोर्नाट्योहभिन्नैकदिक् शरः स्फुटतां व्रजेत् । ततश्छन्नस्थितिदले साध्ये स्थित्यर्द्धषट्त्रिभिः
tayornāṭyohabhinnaikadik śaraḥ sphuṭatāṃ vrajet / tataśchannasthitidale sādhye sthityarddhaṣaṭtribhiḥ
When the two (deflections) are in different or in the same direction, the latitude becomes exact; then the two halves of the duration of the obscuration are to be computed, by the halves of the duration and by sixty-three(?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.164
अंशस्तैर्विन्त्रिभन्द्विस्थंलंबनेतयोः पूर्ववत् । संस्कृतेस्ताभ्यां स्थित्यर्द्धे भवतः स्फुटे
aṃśastairvintribhandvisthaṃlaṃbanetayoḥ pūrvavat / saṃskṛtestābhyāṃ sthityarddhe bhavataḥ sphuṭe
The degrees ... by those, (taken) from the point three signs behind, placed in two ways, in the parallax of the two, as before; when the two halves of the duration are corrected by those two, they become exact.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.165
ताभ्यां हीनयुतो मध्यदर्शः कालौ मुखान्तगौ । अर्काद्यूना विश्व ईशा नवपञ्चदशांशकाः
tābhyāṃ hīnayuto madhyadarśaḥ kālau mukhāntagau / arkādyūnā viśva īśā navapañcadaśāṃśakāḥ
Diminished and increased by those two, the mean new-moon (gives) the two times, that of the beginning and that of the end. Diminished by twelve, (the remainders are) thirteen, eleven, nine, five, ten parts.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.166
कालांशास्तैरूनयुक्ते रवौ ह्यस्तोदयौ विधोः । दृष्ट्वा ह्यादौ खेटबिंबं दृगौञ्च्ये लंबमीक्ष्य च
kālāṃśāstairūnayukte ravau hyastodayau vidhoḥ / dṛṣṭvā hyādau kheṭabiṃbaṃ dṛgauñcye laṃbamīkṣya ca
(These are) the degrees of time; when the sun is diminished and increased by them, (one obtains) the setting and rising of the moon. Having first observed the disc of the planet, and having examined the parallax at the zenith-distance,
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.167
तल्लुंबपापबिंबान्तर्दृणौ व्याप्तरविघ्नभाः । अस्ते सावयवा ज्ञेया गतैष्यास्तिथयो बुधैः
talluṃbapāpabiṃbāntardṛṇau vyāptaravighnabhāḥ / aste sāvayavā jñeyā gataiṣyāstithayo budhaiḥ
the distance between that parallax-disc and the (other) disc ... the digits pervaded and multiplied by twelve; at setting they are to be known by the wise with their fractional parts, as the tithis elapsed and to come.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.168
व्यस्ते युक्तान्तिभागैश्च द्विघ्नतिथ्याहृता स्फुटम् । संस्कारदिकलंबनमङ्गुलाद्यं प्रजायते
vyaste yuktāntibhāgaiśca dvighnatithyāhṛtā sphuṭam / saṃskāradikalaṃbanamaṅgulādyaṃ prajāyate
When reversed, and with the degrees of the terminal (points) added, divided by twice the tithis, the exact parallax in the direction of the correction arises, in digits and so forth.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.169
सेष्वशोनाः सितं तिथ्यो बलन्नाशोन्नतं विधोः । शृङ्गमन्यत्र उद्वाच्यं बलनाङ्गुललेखनात्
seṣvaśonāḥ sitaṃ tithyo balannāśonnataṃ vidhoḥ / śṛṅgamanyatra udvācyaṃ balanāṅgulalekhanāt
Diminished by those, the bright (portion) of the moon (and) the tithis, and the elevation diminished by the deflection: the horn (of the moon) is elsewhere to be declared, from the drawing of the digits of the deflection.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.170
पञ्चत्वे गोङ्कविशिखाः शेषकर्णहताः पृथक् । विकृज्यकाङ्गसिद्धाग्निभक्तालब्धोनसंयुताः
pañcatve goṅkaviśikhāḥ śeṣakarṇahatāḥ pṛthak / vikṛjyakāṅgasiddhāgnibhaktālabdhonasaṃyutāḥ
In the case of totality(?), the (numbers) ... multiplied separately by the remaining hypotenuse, divided by (the numbers) ..., and the results subtracted or added.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.171
त्रिज्याधिकोने श्रवणे वपूंषि स्युर्हृताः कुजात् । ऋज्वोरनृज्वोर्विवरं गत्यन्तरविभाजितम्
trijyādhikone śravaṇe vapūṃṣi syurhṛtāḥ kujāt / ṛjvoranṛjvorvivaraṃ gatyantaravibhājitam
When the hypotenuse is greater or less than the radius (trijyā), the bodies (i.e. their diameters?) are to be divided, (reckoned) from Mars; the interval between two (planets), whether both direct or not both direct, is divided by the difference of their motions.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.172
वक्रर्त्वोर्गतियोगामं गम्येतीते दिनादिकम् । खनत्यासंस्कृतौव्वेषूदक्साम्येन्येन्तरं युतिः
vakrartvorgatiyogāmaṃ gamyetīte dinādikam / khanatyāsaṃskṛtauvveṣūdaksāmyenyentaraṃ yutiḥ
When (one is) retrograde (and one direct), (the interval is divided) by the sum of the motions; thus (is obtained) the time to come or elapsed, in days and so forth. ... in the unrectified (positions) the south-north (difference)? ...; when the directions agree, the difference (is taken); (otherwise) the sum.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.173
याम्योदक्खेटविवरं मानौक्याद्धोल्पकं यदा । यदा भेदोलंबनाद्यं स्फुटार्थं सूर्यपर्ववत्
yāmyodakkheṭavivaraṃ mānaukyāddholpakaṃ yadā / yadā bhedolaṃbanādyaṃ sphuṭārthaṃ sūryaparvavat
When the north-south interval of the two planets is less than half the sum of their (disc-)measures, (a conjunction occurs); when there is a separation, then the parallax and the rest are to be applied for accuracy, as in the case of a solar eclipse.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.174
एकायनगतौ स्यातां सूर्याचन्द्रमसौ यदा । तयुते मण्डले क्रान्त्यौ तुल्यत्वे वै धृताभिधः
ekāyanagatau syātāṃ sūryācandramasau yadā / tayute maṇḍale krāntyau tulyatve vai dhṛtābhidhaḥ
When the sun and the moon are moving in the same ayana (half-year course), and when their declinations, upon the (same) circle, are equal, then (the conjunction) is called Vaidhṛta.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.175
विपटीतायनगतौ चन्द्राकारै क्रान्तिलिप्तिकाः । समास्तदा व्यतीपातो भगणार्द्धे तपोयुतौ
vipaṭītāyanagatau candrākārai krāntiliptikāḥ / samāstadā vyatīpāto bhagaṇārddhe tapoyutau
When they are moving in opposite ayanas and the declination-minutes of the moon and the sun are equal, then it is Vyatīpāta, the two luminaries being at half a revolution (from each other?).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.176
भास्करेद्वोर् भचक्रान्त चक्रार्द्धावधिसंस्थयोः । दृक्कल्पसाधितांशादियुक्तयोः स्वावपक्रमौ
bhāskaredvor bhacakrānta cakrārddhāvadhisaṃsthayoḥ / dṛkkalpasādhitāṃśādiyuktayoḥ svāvapakramau
Of the sun and the moon, situated within the limit of the zodiac and of half the circle, and increased by the degrees etc. obtained by the dṛkkalpa (visibility-correction), (compute) their respective declinations.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.177
अथोजपदगम्येन्दोः क्रान्तिर्विक्षेपसंस्कृताः । यदि स्यादधिका भानोः क्रान्तेः पातो गतस्तदा
athojapadagamyendoḥ krāntirvikṣepasaṃskṛtāḥ / yadi syādadhikā bhānoḥ krānteḥ pāto gatastadā
Now, if the moon's declination, corrected by its latitude, in an odd quadrant, is greater than the sun's declination, then the pāta (the node/conjunction) has passed.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.178
न्यूना चेत्स्यात्तदा भावी वामं युग्मपदस्य च । यदान्यत्वं विधोः क्रान्तिः क्षेपाच्चेद्यदि शुद्ध्यति
nyūnā cetsyāttadā bhāvī vāmaṃ yugmapadasya ca / yadānyatvaṃ vidhoḥ krāntiḥ kṣepāccedyadi śuddhyati
But if it is less, then it is yet to come; and for an even quadrant the reverse. When the moon's declination is of the other kind, if it is cleared (subtracted) by the latitude...
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.179
क्रान्त्योर्जेत्रिज्ययाभिस्ते परमायक्रमोद्धते । तच्चापान्तर्मर्द्धवायोर्ज्यभाविनशीतगौ
krāntyorjetrijyayābhiste paramāyakramoddhate / taccāpāntarmarddhavāyorjyabhāvinaśītagau
The Sines of the two declinations, multiplied by the radius and divided by the maximum declination(?) — the difference of their arcs, halved, (gives) the ... of the moon, whether past or to come.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.180
शोध्यं चन्द्राद्गते पाते तत्सूयगतिताडितम् । चन्द्रभुक्त्या हृतं भानौ लिप्तादिशशिवत्फलम्
śodhyaṃ candrādgate pāte tatsūyagatitāḍitam / candrabhuktyā hṛtaṃ bhānau liptādiśaśivatphalam
When the pāta has passed, (the result) is to be subtracted from the moon; that, multiplied by the sun's motion and divided by the moon's daily motion, (gives) for the sun the result in minutes and so forth, as in the case of the moon.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.181
तदूच्छशाङ्कपातस्य फलं देयं विपर्ययात् । कर्मैतदसकृत्तावत्क्रान्ती यावत्समेतयोः
tadūcchaśāṅkapātasya phalaṃ deyaṃ viparyayāt / karmaitadasakṛttāvatkrāntī yāvatsametayoḥ
For that, the result belonging to the moon's node is to be applied in the reverse way; this operation (is to be repeated) again and again, until the two declinations become equal.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.182
क्रान्त्योः समत्वे पातो ऽथ प्रक्षिप्तांशोनिते विधौ । हीनेर्ऽद्वरात्रघिकाघतो भावी तात्कालिके ऽधिका
krāntyoḥ samatve pāto 'tha prakṣiptāṃśonite vidhau / hīner'dvarātraghikāghato bhāvī tātkālike 'dhikā
When the declinations are equal, that is the pāta. Then, the degrees having been added to or subtracted from the moon, if (the declination) is less, (multiply) by the ghaṭikās of the half-night(?): it is to come; if greater at the given moment, (it is past).
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.183
स्थिरीकृतार्द्धरा त्रार्द्धौ द्वयोर्विवरलिप्तकाः । षष्टिश्चाचन्द्रभुक्ताप्ता पातकालस्य नाडिकाः
sthirīkṛtārddharā trārddhau dvayorvivaraliptakāḥ / ṣaṣṭiścācandrabhuktāptā pātakālasya nāḍikāḥ
The two halves being fixed(?), the minutes of the interval of the two, multiplied by sixty and divided by the moon's daily motion, are the nāḍikās of the time of the pāta.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.184
रवीन्द्वोर्मानयोगार्द्धं षष्ट्या संगुण्य भाजयेत् । तयोर्भुक्तयन्तरेणाप्तं स्थित्यमर्द्धां नाडिकादिवत्
ravīndvormānayogārddhaṃ ṣaṣṭyā saṃguṇya bhājayet / tayorbhuktayantareṇāptaṃ sthityamarddhāṃ nāḍikādivat
One should multiply half the sum of the (disc-)measures of the sun and the moon by sixty and divide; the quotient by the difference of their daily motions is the half-duration, in nāḍikās and so forth.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.185
पातकालः स्फुटो मध्यः सो ऽपि स्थित्यर्द्धवर्जितः । तस्य संभवकालः स्यात्तत्संयोगेक्तसंज्ञकः
pātakālaḥ sphuṭo madhyaḥ so 'pi sthityarddhavarjitaḥ / tasya saṃbhavakālaḥ syāttatsaṃyogektasaṃjñakaḥ
The true time of the pāta is the middle (of the phenomenon); that same, diminished by the half-duration, is its time of beginning; joined with it (the half-duration), it is called (the time of) release.
AI translation rendered from the Sanskrit, not a published edition — the model flagged this verse as uncertain
NarP 1 54.186
आद्यन्तकालयोर्मध्ये कालो ज्ञेयो ऽतिदारुणः । प्रज्वलज्ज्वलनाकारः सर्वकर्मसु गर्हितः
ādyantakālayormadhye kālo jñeyo 'tidāruṇaḥ / prajvalajjvalanākāraḥ sarvakarmasu garhitaḥ
The time between the times of beginning and end is to be known as most terrible, having the form of a blazing fire, condemned in all undertakings.
AI translation rendered from the Sanskrit, not a published edition
NarP 1 54.187
इत्येतद्गणितो किञ्चित्प्रोक्तं संक्षेपतो द्विज । जातकं वाच्मि समयाद्राशिसंज्ञापुरःसरम्
ityetadgaṇito kiñcitproktaṃ saṃkṣepato dvija / jātakaṃ vācmi samayādrāśisaṃjñāpuraḥsaram
Thus something of computation has been stated in brief, O twice-born; now, in due course, I shall speak of nativity, beginning with the names of the zodiacal signs.
AI translation rendered from the Sanskrit, not a published edition