Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
ज्याव्यासयोगविवराहतमूलोनितोऽर्द्धितः । व्यासः शरः शरोनाञ्च व्यासाच्छरगुणात्पदम् ॥ ४७ ॥
jyāvyāsayogavivarāhatamūlonito'rddhitaḥ | vyāsaḥ śaraḥ śaronāñca vyāsāccharaguṇātpadam || 47 ||
ज्येच्या वर्गातून त्रिज्येचा वर्ग वजा करून जो फरक येतो, त्याचे वर्गमूळ घेऊन अर्ध केल्यास ‘शर’ मिळतो। शर व व्यास यांच्या योगातून, धनुर्ज्येच्या गुणधर्माने अपेक्षित ‘पद’ सिद्ध होते।
Sanatkumara (teaching Narada)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: adbhuta
It shows that disciplined knowledge (śāstra)—even precise mathematical reasoning—supports dharma and clarity of mind, which are valued aids on the path toward mokṣa.
Indirectly: it frames technical learning as part of a purified life of dharma; such steadiness and truthfulness in knowledge complements devotion by cultivating focus, order, and reverence for Vedic methods.
A ganita-style rule used in Jyotiṣa/Vedāṅga calculations: deriving the śara (sagitta) from chord (jyā) and diameter (vyāsa) via squaring, subtraction, square-root, and halving.