Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning
संशोध्यं तु त्रिजीवायां कर्कादौ कोटिजं फलम् । तद्बाहुफलवर्गैक्यान्मूलकर्णश्चलाभिधः ॥ १०८ ॥
saṃśodhyaṃ tu trijīvāyāṃ karkādau koṭijaṃ phalam | tadbāhuphalavargaikyānmūlakarṇaścalābhidhaḥ || 108 ||
Mas no procedimento tri-jīvā, começando por Karka (Câncer) e os demais, o resultado derivado da koṭi (perpendicular) deve ser corrigido. Da soma conjunta dos quadrados do bāhu (braço) e do phala (resultado), obtém-se a mūla-karṇa, chamada calā—“a hipotenusa móvel”.
Narada (teaching in a technical explanatory passage)
Vrata: none
Primary Rasa: shanta
Secondary Rasa: none
It highlights that accurate knowledge (śāstra-pramāṇa) requires refinement and correction—an ethic of precision that supports right timing and right understanding in dharma and spiritual practice.
Indirectly: by insisting on correct computation and disciplined method, it supports proper observance of sacred timings and duties that traditionally accompany devotional life, even though the verse itself is technical rather than devotional.
Jyotiṣa/Gaṇita-style computation: correcting a derived value and then forming the mūla-karṇa (hypotenuse) from the sum of squares of bāhu and phala—i.e., a Pythagorean-type step used in astronomical/astrological calculations.