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Narada Purana — Purva Bhaga, Shloka 95

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

Devanagari script

शेषं कंदपदंतस्माद्भुजज्या कोटिरेव च । गताद्भुजज्याविषमे गम्यात्कोटिः पदे भवेत् ॥ ९५ ॥

Transliteration

śeṣaṃ kaṃdapadaṃtasmādbhujajyā koṭireva ca | gatādbhujajyāviṣame gamyātkoṭiḥ pade bhavet || 95 ||

Translation

Từ phần dư ấy, trừ đi «kandapada» (hạng căn); rồi thu được «bhujajyā» (sin) và «koṭi» (cos). Trong trường hợp không đều của sin đã đi qua, phải xác định cos tại bước (pada) tương ứng.

Word by Word
शेषम्remainder
शेषम्:
कर्म (Karma/Object)
TypeNoun
Rootशेष (प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; ‘remainder’ (contextually object)
कन्दof the root/base (kanda)
कन्द:
सम्बन्ध (Genitive relation)
TypeNoun
Rootकन्द (प्रातिपदिक)
Formपुंलिङ्ग, षष्ठी (6), एकवचन (understood in compound relation)
पदम्from the position (pada)
पदम्:
अपादान (Apādāna/Source)
TypeNoun
Rootपद (प्रातिपदिक)
Formनपुंसकलिङ्ग, पञ्चमी (5), एकवचन; with तस्मात्: ‘from the position/step’
तस्मात्from that/therefrom
तस्मात्:
अपादान (Apādāna/Source)
TypeIndeclinable
Rootतद् (सर्वनाम-प्रातिपदिक)
Formअव्ययीभाव-प्रयोगवत्; पञ्चमी-अर्थे (ablative sense) ‘therefrom’
भुजज्याsine (bhujā-jyā)
भुजज्या:
कर्ता (Karta/Subject)
TypeNoun
Rootभुज + ज्या (प्रातिपदिक; components)
Formस्त्रीलिङ्ग, प्रथमा (1), एकवचन; षष्ठी-तत्पुरुषः (भुजस्य ज्या)
कोटिःcosine/koṭi (complement)
कोटिः:
कर्ता (Karta/Subject)
TypeNoun
Rootकोटि (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा (1), एकवचन
एवindeed/just
एव:
निपात (Particle)
TypeIndeclinable
Rootएव (अव्यय)
Formअव्यय; अवधारण (emphasis)
चand
च:
समुच्चय (Conjunction)
TypeIndeclinable
Rootच (अव्यय)
Formअव्यय; समुच्चय (conjunction)
गतात्from the known/given (gone) value
गतात्:
अपादान (Apādāna/Source)
TypeNoun
Rootगत (कृदन्त-प्रातिपदिक; गम् धातु)
Formनपुंसकलिङ्ग, पञ्चमी (5), एकवचन; ‘from the gone/known (value)’
भुजज्याin the sine
भुजज्या:
अधिकरण (Adhikaraṇa/Location)
TypeNoun
Rootभुज + ज्या (प्रातिपदिक; components)
Formस्त्रीलिङ्ग, सप्तमी (7), एकवचन; in compound with ‘विषमे’ as locative context
विषमेin the unequal case
विषमे:
अधिकरण (Adhikaraṇa/Location)
TypeAdjective
Rootविषम (प्रातिपदिक)
Formनपुंसकलिङ्ग, सप्तमी (7), एकवचन; locative ‘in the unequal case’
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)’
कोटिःkoṭi (cosine)
कोटिः:
कर्ता (Karta/Subject)
TypeNoun
Rootकोटि (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा (1), एकवचन
पदेin the position
पदे:
अधिकरण (Adhikaraṇa/Location)
TypeNoun
Rootपद (प्रातिपदिक)
Formनपुंसकलिङ्ग, सप्तमी (7), एकवचन; locative ‘in the position’
भवेत्should be
भवेत्:
क्रिया (Kriyā/Verb)
TypeVerb
Rootभू (धातु)
Formविधिलिङ् (Optative), प्रथमपुरुष (3rd), एकवचन; ‘should be/becomes’
Speaker

Sanatkumara (teaching Narada in a Vedanga/technical context)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: none

Characters & Entities
N
Narada
S
Sanatkumara

FAQs

It presents śāstric precision as a support for dharma and higher pursuit: disciplined calculation (ganita/jyotiṣa) is taught as part of ordered knowledge that steadies the mind and aids correct practice.

Direct bhakti is not the subject here; instead, it shows that the Purana also preserves auxiliary sciences. Such accurate knowledge can support devotional life by guiding calendrical and ritual timings traditionally linked with Vaiṣṇava observances.

Jyotiṣa/gaṇita procedure: it references bhujajyā (sine) and koṭi (cosine) and indicates stepwise derivation, including handling non-uniform (viṣama) sine progressions.

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