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.
Sanatkumara (in instruction to Narada on technical/practical knowledge supporting dharma and moksha)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: adbhuta
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.