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 ||
In the right-angled figure formed by the śaṅku (gnomon) and its shadow, the diagonal (karṇa, hypotenuse) is obtained from the sum of squares. Conversely, when the diagonal is known, the shadow is found by subtracting the square of the śaṅku—thus reversing the procedure with respect to the 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.