Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
स्यात्क्रमज्याविधिश्चैवमुक्रमज्यास्वपिस्मृतः । ज्यां प्रोह्य शेषं तत्त्वताश्वि हंतं तद्विवरोद्धृम् ॥ १०० ॥
syātkramajyāvidhiścaivamukramajyāsvapismṛtaḥ | jyāṃ prohya śeṣaṃ tattvatāśvi haṃtaṃ tadvivaroddhṛm || 100 ||
Ainsi est énoncée la règle des krama-jyā, les sinus successifs; et l’on se souvient aussi de la méthode des u-krama-jyā, les sinus successifs en sens inverse. Après avoir soustrait la jyā (le sinus), qu’on prenne exactement le reste, qu’on le frappe promptement, puis qu’on en tire (calcule) la différence correspondante.
Sanatkumara (teaching Narada)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: vira
It highlights that Moksha-Dharma teaching in the Narada Purana also preserves precise śāstric disciplines—showing that right knowledge (vidyā), including Jyotiṣa/Gaṇita, supports dharma and clarity of practice.
Indirectly: accurate Jyotiṣa computations underpin correct timing (kāla) for vrata, pūjā, and observances, which strengthens disciplined devotion rather than replacing it with guesswork.
Vedāṅga Jyotiṣa (astronomy/astrology) with a Gaṇita step: computing krama-jyā/u-krama-jyā by subtracting a jyā, using the remainder, and deriving the interval (vivara) for successive values.