Home›Narada Purana›Purva Bhaga›Second Quarter›Adhyaya 54›Shloka 96
←Previous Verse
Next Verse→

Narada Purana — Purva Bhaga, Shloka 96

Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning

Devanagari script

समेति गम्याद्वाहुदज्या कोटिज्यानुगता भवेत् । लिप्तास्तत्त्वयमैर्भक्ता लब्धज्यापिंडकं गतम् ॥ ९६ ॥

Transliteration

sameti gamyādvāhudajyā koṭijyānugatā bhavet | liptāstattvayamairbhaktā labdhajyāpiṃḍakaṃ gatam || 96 ||

Translation

既得“gamyā”，则如臂之“bhujajyā”（正弦）与“koṭijyā”（余弦）相应相合。依所定真实量数为除，并以分（liptāḥ）表示，即得所获之“jyā-piṇḍa”，乃正弦之汇聚总量。

Word by Word
समेin the equal case
समे:
अधिकरण (Adhikaraṇa/Location)
TypeAdjective
Rootसम (प्रातिपदिक)
Formनपुंसकलिङ्ग, सप्तमी (7), एकवचन; locative ‘in the equal case’
इतिthus
इति:
निपात (Particle)
TypeIndeclinable
Rootइति (अव्यय)
Formअव्यय; quotation/marker particle
गम्यात्from the to-be-found (gamyā)
गम्यात्:
अपादान (Apādāna/Source)
TypeNoun
Rootगम्य (कृदन्त-प्रातिपदिक; गम् धातु)
Formनपुंसकलिङ्ग, पञ्चमी (5), एकवचन; ‘from the to-be-found (value)’
वाहुदज्याvāhuda-sine (a specific sine)
वाहुदज्या:
कर्ता (Karta/Subject)
TypeNoun
Rootवाहुद + ज्या (प्रातिपदिक; components)
Formस्त्रीलिङ्ग, प्रथमा (1), एकवचन; षष्ठी-तत्पुरुषः (वाहुदस्य ज्या)
कोटिज्याwith the cosine (koṭi-jyā)
कोटिज्या:
सह (Saha/Association)
TypeNoun
Rootकोटि + ज्या (प्रातिपदिक; components)
Formस्त्रीलिङ्ग, तृतीया (3), एकवचन (understood with अनुगता); ‘with the koṭi-sine’
अनुगताaccompanied/following
अनुगता:
विधेय (Predicate participle)
TypeVerb
Rootअनु + गम् (धातु) → अनुगत (कृदन्त-प्रातिपदिक)
Formभूतकृदन्त (क्त), स्त्रीलिङ्ग, प्रथमा (1), एकवचन; agreeing with ‘वाहुदज्या’
भवेत्should be
भवेत्:
क्रिया (Kriyā/Verb)
TypeVerb
Rootभू (धातु)
Formविधिलिङ् (Optative), प्रथमपुरुष (3rd), एकवचन
लिप्ताः(being) liptas/marked parts
लिप्ताः:
कर्ता (Karta/Subject)
TypeAdjective
Rootलिप्त (कृदन्त-प्रातिपदिक; लिप् धातु)
Formपुंलिङ्ग, प्रथमा (1), बहुवचन; past participle used adjectivally ‘smeared/marked’ (technical: minutes/parts treated)
तत्त्वयमैःby the tattva-yamas
तत्त्वयमैः:
करण (Karaṇa/Instrument)
TypeNoun
Rootतत्त्वयम (प्रातिपदिक)
Formपुंलिङ्ग, तृतीया (3), बहुवचन; instrumental ‘by the tattva-yamas’ (technical divisors)
भक्ताःdivided
भक्ताः:
विधेय (Predicate participle)
TypeAdjective
Rootभज् (धातु) → भक्त (कृदन्त-प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1), बहुवचन; भूतकृदन्त (क्त) ‘divided’
लब्धobtained
लब्ध:
विशेषण (Viśeṣaṇa/Qualifier)
TypeAdjective
Rootलभ् (धातु) → लब्ध (कृदन्त-प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा (1), एकवचन; used in compound sense with ‘ज्या’
ज्याof the sine
ज्या:
सम्बन्ध (Genitive relation)
TypeNoun
Rootज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, षष्ठी (6), एकवचन (compound relation)
पिण्डकम्aggregate (piṇḍaka)
पिण्डकम्:
कर्ता (Karta/Subject)
TypeNoun
Rootपिण्डक (प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; ‘aggregate/lump’
गतम्resulting/obtained
गतम्:
विधेय/विशेषण (Predicate/Qualifier)
TypeAdjective
Rootगत (कृदन्त-प्रातिपदिक; गम् धातु)
Formनपुंसकलिङ्ग, प्रथमा (1), एकवचन; past participle ‘gone/obtained’ qualifying ‘पिण्डकम्’
Speaker

Sanatkumara (teaching Narada in a technical/śāstra mode)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: adbhuta

FAQs

It highlights śāstric exactness—using true measures and careful computation—showing that disciplined knowledge (vidyā) supports dharma and steadiness of mind, which are foundational to Mokṣa-oriented living.

Indirectly: by stressing correct measures and verified results, it mirrors bhakti’s insistence on steadiness and fidelity—devotion becomes effective when aligned with śāstra, just as jyā aligns with koṭijyā through proper method.

Jyotiṣa (Vedāṅga astronomy/astrology) and gaṇita: the use of jyā (sine), koṭijyā (cosine), and conversion into liptā (minutes) via standard divisors to obtain a final computed value.

←Previous Verse
Next Verse→