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Narada Purana — Purva Bhaga, Shloka 135

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

शंकुच्छायाकृतियुतेर्मूलं कंर्णोऽय वर्गतः । प्रोह्य शंकुकृते मूलं छाया शेकुविपर्ययात् ॥ १३५ ॥

śaṃkucchāyākṛtiyutermūlaṃ kaṃrṇo'ya vargataḥ | prohya śaṃkukṛte mūlaṃ chāyā śekuviparyayāt || 135 ||

Dans la figure à angle droit formée par le śaṅku (gnomon) et son ombre, la diagonale (karṇa, l’hypoténuse) s’obtient par la somme des carrés. Inversement, la diagonale étant connue, on trouve l’ombre en retranchant le carré du śaṅku, c’est-à-dire en renversant la méthode à l’égard du gnomon.

शंकुgnomon/pole
शंकु:
Sambandha (सम्बन्ध)
TypeNoun
Rootशंकु (प्रातिपदिक)
Formपुंलिङ्ग, प्रातिपदिक (compound-member)
छायाshadow
छाया:
Sambandha (सम्बन्ध)
TypeNoun
Rootछाया (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रातिपदिक (compound-member)
आकृतिshape/form
आकृति:
Sambandha (सम्बन्ध)
TypeNoun
Rootआकृति (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रातिपदिक (compound-member)
युतेःof the sum/combination
युतेः:
Sambandha (षष्ठी-सम्बन्ध)
TypeNoun
Rootयुति (प्रातिपदिक)
Formस्त्रीलिङ्ग, षष्ठी (6th/Genitive), एकवचन
मूलम्the root/base value
मूलम्:
Karma (कर्म/Object)
TypeNoun
Rootमूल (प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया (1st/2nd), एकवचन
कर्णःthe hypotenuse/diagonal
कर्णः:
Karta (कर्ता/Subject)
TypeNoun
Rootकर्ण (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1st), एकवचन
अयम्this
अयम्:
Karta-anvaya (कर्तृसम्बन्ध/Deictic)
TypeNoun
Rootइदम् (सर्वनाम-प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1st), एकवचन; सर्वनाम (pronoun)
वर्गतःfrom the square (i.e., by squaring)
वर्गतः:
Sambandha (सम्बन्ध/Adverbial)
TypeIndeclinable
Rootवर्ग (प्रातिपदिक)
Formतसिल्-प्रत्ययान्त अव्यय (ablatival adverb)
प्रोह्यhaving removed/setting aside
प्रोह्य:
Purvakala (पूर्वकाल/Preceding action)
TypeIndeclinable
Rootप्र + √ऊह्/√वह् (धातु)
Formक्त्वा-प्रत्ययान्त अव्यय (gerund/absolutive)
शंकुgnomon
शंकु:
Sambandha (सम्बन्ध)
TypeNoun
Rootशंकु (प्रातिपदिक)
Formपुंलिङ्ग, प्रातिपदिक (compound-member)
कृतेwhen (it is) made/done
कृते:
Adhikarana (अधिकरण/Condition)
TypeNoun
Rootकृत (कृदन्त; √कृ + क्त)
Formनपुंसकलिङ्ग, सप्तमी (7th/Locative), एकवचन; ‘कृते’ = in the case of/when done (idiomatic)
मूलम्the base value
मूलम्:
Karma (कर्म/Object)
TypeNoun
Rootमूल (प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया, एकवचन
छायाthe shadow
छाया:
Karta (कर्ता/Subject)
TypeNoun
Rootछाया (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा (1st), एकवचन
शंकुgnomon
शंकु:
Sambandha (सम्बन्ध)
TypeNoun
Rootशंकु (प्रातिपदिक)
Formपुंलिङ्ग, प्रातिपदिक (implied in compound)
विपर्ययात्by reversal/inversion
विपर्ययात्:
Hetu (हेतु/Cause)
TypeNoun
Rootविपर्यय (प्रातिपदिक)
Formपुंलिङ्ग, पञ्चमी (5th/Ablative), एकवचन

Sanatkumara (in instruction to Narada on technical/practical knowledge supporting dharma and moksha)

Vrata: none

Primary Rasa: shanta

Secondary Rasa: adbhuta

N
Narada
S
Sanatkumara

FAQs

It shows that Moksha Dharma in the Narada Purana also values disciplined, accurate knowledge—using precise methods (like measurement and calculation) to uphold dharma in practice, such as correct timing and orientation for sacred acts.

While not directly preaching bhakti, it supports devotional life indirectly: correct Jyotiṣa-based timing and procedural accuracy help a devotee perform vows, worship, and daily disciplines steadily—making devotion consistent and well-ordered.

Jyotiṣa (Vedāṅga astronomy/astrology) and gaṇita (calculation): it describes a Pythagorean-style relation for the śaṅku (gnomon), its chāyā (shadow), and the karṇa (diagonal), including the reverse computation by subtraction.