Narada Purana — Purva Bhaga, Shloka 33

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

Devanagari script

द्विगुणेष्टहृतं रूपं श्रेष्टं प्राग्रूपकं परम् । वर्गयोगांतरे व्येके राश्योर्वर्गोस्त एतयोः ॥ ३३ ॥

Transliteration

dviguṇeṣṭahṛtaṃ rūpaṃ śreṣṭaṃ prāgrūpakaṃ param | vargayogāṃtare vyeke rāśyorvargosta etayoḥ || 33 ||

Translation

La forme obtenue en doublant puis en divisant par la quantité désirée est proclamée la meilleure et la plus haute méthode préliminaire. Dans la procédure d’addition des carrés, certains disent que le résultat au carré appartient à ces deux quantités (prises ensemble).

Word by Word

• द्वि-गुण-इष्ट-हृतम्: divided by twice the desired (value)
• द्वि-गुण-इष्ट-हृतम्: Karma (कर्म/undergoing operation)
• Type: Adjective
• Root: द्वि (संख्या-प्रातिपदिक) + गुण (प्रातिपदिक) + इष्ट (प्रातिपदिक) + हृत (कृदन्त; √हृ)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; भूतकर्मणि कृदन्त; तत्पुरुष—‘द्विगुणेन इष्टेन हृतम्’ (divided by twice the desired [value])

• रूपम्: the unit/constant (rūpa)
• रूपम्: Karma (कर्म)
• Type: Noun
• Root: रूप (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; technical ‘constant/one’ in algebraic style

• श्रेष्टम्: best
• श्रेष्टम्: Visheshana (विशेषण)
• Type: Adjective
• Root: श्रेष्ट (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; विशेषण (best/excellent)

• प्राक्-रूपकम्: the previous unit-term
• प्राक्-रूपकम्: Karma (कर्म)
• Type: Noun
• Root: प्राक् (अव्यय/उपसर्गार्थ) + रूपक (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; अव्ययीभाव—‘प्राक्’ (before/previously) + ‘रूपक’ (unit-term)

• परम्: further/other
• परम्: Visheshana (विशेषण)
• Type: Adjective
• Root: पर (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन; विशेषण (other/further)

• वर्ग-योग-अन्तरे: in the difference of the square-sum
• वर्ग-योग-अन्तरे: Adhikarana (अधिकरण)
• Type: Noun
• Root: वर्ग (प्रातिपदिक) + योग (प्रातिपदिक) + अन्तर (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, सप्तमी (7th), एकवचन; तत्पुरुष—‘वर्गयोगस्य अन्तरम्’ (in the difference of the sum of squares / square-sum difference)

• व्येके: in the separation/difference
• व्येके: Adhikarana (अधिकरण)
• Type: Noun
• Root: वि (उपसर्ग) + एक (प्रातिपदिक)
• Form: नपुंसकलिङ्ग, सप्तमी (7th), एकवचन; अधिकरण—‘व्येक’ (separation/difference) as technical locative

• राश्योः: of the two quantities
• राश्योः: Sambandha (सम्बन्ध/possessive)
• Type: Noun
• Root: राशि (प्रातिपदिक)
• Form: पुंलिङ्ग, षष्ठी (6th), द्विवचन; ‘of the two quantities’

• वर्गः: square
• वर्गः: Karta (कर्ता)
• Type: Noun
• Root: वर्ग (प्रातिपदिक)
• Form: पुंलिङ्ग, प्रथमा, एकवचन

• उत्सः: source/origin
• उत्सः: Karta (कर्ता)
• Type: Noun
• Root: उत्स (प्रातिपदिक)
• Form: पुंलिङ्ग, प्रथमा, एकवचन; technical term (source/origin/emanation)

• एतयोः: of these two
• एतयोः: Sambandha (सम्बन्ध)
• Type: Noun
• Root: एतद् (सर्वनाम-प्रातिपदिक)
• Form: षष्ठी (6th), द्विवचन; ‘of these two’

Speaker

Sanatkumara (teaching Narada)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: adbhuta

Characters & Entities

• Narada
• Sanatkumara

FAQs

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

It highlights śāstric discipline: even technical rules are taught with clarity and hierarchy (a “preliminary” and a “best” method), reflecting the Purāṇic ideal that right knowledge (vidyā) supports right living and ultimately aids liberation-minded discernment.

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

Direct bhakti instruction is not explicit here; instead, it supports bhakti indirectly by emphasizing orderly learning and accurate understanding—qualities praised in Purāṇic tradition for those who seek to serve and contemplate the Supreme with steadiness.

What practical Vedic knowledge (Vedanga) is highlighted here?

A gaṇita-style computational rule is referenced—doubling, dividing by a chosen quantity, and an operation involving “addition of squares,” indicating a technical, method-based approach akin to Vedāṅga-adjacent scientific instruction.