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

จากเศษนั้นให้ลบ ‘กันทปทะ’ แล้วจะได้ ภุชยะ (ไซน์) และ โกฏิ (โคไซน์) ในกรณีที่ภุชยะที่ผ่านมามิได้เสมอกัน ให้กำหนดโกฏิ ณ ขั้น (ปทะ) ที่สอดคล้องกัน

Word by Word

• शेषम्: remainder
• शेषम्: कर्म (Karma/Object)
• Type: Noun
• Root: शेष (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; ‘remainder’ (contextually object)

• कन्द: of the root/base (kanda)
• कन्द: सम्बन्ध (Genitive relation)
• Type: Noun
• Root: कन्द (प्रातिपदिक)
• Form: पुंलिङ्ग, षष्ठी (6), एकवचन (understood in compound relation)

• पदम्: from the position (pada)
• पदम्: अपादान (Apādāna/Source)
• Type: Noun
• Root: पद (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, पञ्चमी (5), एकवचन; with तस्मात्: ‘from the position/step’

• तस्मात्: from that/therefrom
• तस्मात्: अपादान (Apādāna/Source)
• Type: Indeclinable
• Root: तद् (सर्वनाम-प्रातिपदिक)
• Form: अव्ययीभाव-प्रयोगवत्; पञ्चमी-अर्थे (ablative sense) ‘therefrom’

• भुजज्या: sine (bhujā-jyā)
• भुजज्या: कर्ता (Karta/Subject)
• Type: Noun
• Root: भुज + ज्या (प्रातिपदिक; components)
• Form: स्त्रीलिङ्ग, प्रथमा (1), एकवचन; षष्ठी-तत्पुरुषः (भुजस्य ज्या)

• कोटिः: cosine/koṭi (complement)
• कोटिः: कर्ता (Karta/Subject)
• Type: Noun
• Root: कोटि (प्रातिपदिक)
• Form: स्त्रीलिङ्ग, प्रथमा (1), एकवचन

• एव: indeed/just
• एव: निपात (Particle)
• Type: Indeclinable
• Root: एव (अव्यय)
• Form: अव्यय; अवधारण (emphasis)

• च: and
• च: समुच्चय (Conjunction)
• Type: Indeclinable
• Root: च (अव्यय)
• Form: अव्यय; समुच्चय (conjunction)

• गतात्: from the known/given (gone) value
• गतात्: अपादान (Apādāna/Source)
• Type: Noun
• Root: गत (कृदन्त-प्रातिपदिक; गम् धातु)
• Form: नपुंसकलिङ्ग, पञ्चमी (5), एकवचन; ‘from the gone/known (value)’

• भुजज्या: in the sine
• भुजज्या: अधिकरण (Adhikaraṇa/Location)
• Type: Noun
• Root: भुज + ज्या (प्रातिपदिक; components)
• Form: स्त्रीलिङ्ग, सप्तमी (7), एकवचन; in compound with ‘विषमे’ as locative context

• विषमे: in the unequal case
• विषमे: अधिकरण (Adhikaraṇa/Location)
• Type: Adjective
• Root: विषम (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, सप्तमी (7), एकवचन; locative ‘in the unequal case’

• गम्यात्: from the to-be-found (gamyā)
• गम्यात्: अपादान (Apādāna/Source)
• Type: Noun
• Root: गम्य (कृदन्त-प्रातिपदिक; गम् धातु)
• Form: नपुंसकलिङ्ग, पञ्चमी (5), एकवचन; ‘from the to-be-found (value)’

• कोटिः: koṭi (cosine)
• कोटिः: कर्ता (Karta/Subject)
• Type: Noun
• Root: कोटि (प्रातिपदिक)
• Form: स्त्रीलिङ्ग, प्रथमा (1), एकवचन

• पदे: in the position
• पदे: अधिकरण (Adhikaraṇa/Location)
• Type: Noun
• Root: पद (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, सप्तमी (7), एकवचन; locative ‘in the position’

• भवेत्: should be
• भवेत्: क्रिया (Kriyā/Verb)
• Type: Verb
• Root: भू (धातु)
• Form: विधिलिङ् (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

• Narada
• Sanatkumara

FAQs

What is the spiritual significance of this verse in Narada Purana?

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.

How does this verse explain the path of devotion (Bhakti)?

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.

What practical Vedic knowledge (Vedanga) is highlighted here?

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