Narada Purana — Purva Bhaga, Shloka 35

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

Devanagari script

गुणघ्नमूलोनयुतः सगुणार्द्धे कृतं पदम् । दृष्टस्य च गुणार्द्धो न युतं वर्गीकृतं गुणः ॥ ३५ ॥

Transliteration

guṇaghnamūlonayutaḥ saguṇārddhe kṛtaṃ padam | dṛṣṭasya ca guṇārddho na yutaṃ vargīkṛtaṃ guṇaḥ || 35 ||

Translation

Когда квадратный корень соединяют с вычитаемым членом, умноженным на коэффициент, и применяют это вместе с половиной коэффициента, образуется (следующий) шаг. А для рассматриваемой величины половина коэффициента — если её не прибавлять к корню — после возведения в квадрат становится коэффициентом.

Word by Word

• गुणघ्नमूलोनयुतः: joined with (something) diminished by the root of the product of coefficients (technical)
• गुणघ्नमूलोनयुतः: Visheshana (विशेषण/Qualifier)
• Type: Adjective
• Root: गुण-घ्न-मूल-ऊन-युत (प्रातिपदिक; गुण + घ्न + मूल + ऊन + युत)
• Form: पुंलिङ्ग (Masculine), प्रथमा विभक्ति (Nominative/1st), एकवचन (Singular); विशेषण (adjectival)

• सगुणार्द्धे: in/with half the coefficient
• सगुणार्द्धे: Adhikarana (अधिकरण/Locative)
• Type: Noun
• Root: स-गुण-अर्द्ध (प्रातिपदिक; स + गुण + अर्द्ध)
• Form: नपुंसकलिङ्ग (Neuter), सप्तमी विभक्ति (Locative/7th), एकवचन (Singular)

• कृतम्: made/formed
• कृतम्: Karma (कर्म/Object predicate)
• Type: Verb
• Root: कृ (धातु) + क्त (कृत् प्रत्यय)
• Form: कृदन्त (past passive participle/क्त), नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; कर्मणि प्रयोगभाव (PPP)

• पदम्: term/expression
• पदम्: Karma (कर्म/Object)
• Type: Noun
• Root: पद (प्रातिपदिक)
• Form: नपुंसकलिङ्ग (Neuter), प्रथमा/द्वितीया विभक्ति (Nom/Acc), एकवचन (Singular)

• दृष्टस्य: of the known/given (quantity)
• दृष्टस्य: Sambandha (सम्बन्ध/Genitive relation)
• Type: Noun
• Root: दृष्ट (प्रातिपदिक)
• Form: पुंलिङ्ग (Masculine), षष्ठी विभक्ति (Genitive/6th), एकवचन (Singular)

• च: and
• च: Sambandha (सम्बन्ध/Connector)
• Type: Indeclinable
• Root: च (अव्यय)
• Form: समुच्चयबोधक अव्यय (conjunction)

• गुणार्द्धः: half the coefficient
• गुणार्द्धः: Karta (कर्ता/Subject)
• Type: Noun
• Root: गुण-अर्द्ध (प्रातिपदिक)
• Form: पुंलिङ्ग (Masculine), प्रथमा विभक्ति (Nominative/1st), एकवचन (Singular)

• न: not
• न: Sambandha (सम्बन्ध/Negation)
• Type: Indeclinable
• Root: न (अव्यय)
• Form: निषेधार्थक अव्यय (negation particle)

• युतम्: added/joined
• युतम्: Visheshana (विशेषण/Qualifier)
• Type: Adjective
• Root: यु (धातु) + क्त (कृत् प्रत्यय) / युत (प्रातिपदिक)
• Form: कृदन्त (क्त), नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; विशेषण

• वर्गीकृतम्: squared (made into a square)
• वर्गीकृतम्: Visheshana (विशेषण/Qualifier)
• Type: Adjective
• Root: वर्गी-कृ (धातु; नामधातु) + क्त (कृत् प्रत्यय)
• Form: कृदन्त (past passive participle/क्त), नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; विशेषण

• गुणः: coefficient/multiplier
• गुणः: Karta (कर्ता/Subject)
• Type: Noun
• Root: गुण (प्रातिपदिक)
• Form: पुंलिङ्ग (Masculine), प्रथमा विभक्ति (Nominative/1st), एकवचन (Singular)

Speaker

Sanatkumara (teaching Narada)

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?

Though technical, the verse reflects the Purana’s teaching that disciplined knowledge (śāstra-jñāna)—even in calculation—supports clarity of mind, which is foundational for Mokṣa-dharma.

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

This specific verse is not a bhakti-instruction; it sits in a technical teaching context, implying that right understanding and orderly practice can accompany devotion as supportive disciplines.

What practical Vedic knowledge (Vedanga) is highlighted here?

It highlights gaṇita-style operational reasoning using terms like guṇa (coefficient), varga (square), and mūla (square root), akin to auxiliary technical sciences often transmitted alongside Vedāṅga learning traditions.