Ganita Bharati
Published in Association with Bulletin of The Indian Society for History of Mathematics
Current Volume: 45 (2023 )
ISSN: 0970-0307
Periodicity: Half-Yearly
Month(s) of Publication: June & December
Subject: Mathematics
DOI: https://doi.org/10.32381/GB
Online Access is Free for Life Member
Some Aspects of Patadhikara in Siddhantasiromani
By : Venketeswara Pai R., M. S. Sriram, Sita Sundar Ram
Page No: 39-68
Abstract
Vyatipata and Vaidhrta occur when the magnitudes of the declinations of the Sun and the Moon are equal, and one of them is increasing, while the other is decreasing. In this paper, we discuss the calculations associated with them in the patadhikara in the Grahaganita part of Siddhantsiromani. Some of these are similar to the computations in Brahmasphutasiddhanta and Sisyaddhidatantra, but the computation of the golasandhi appears here for the first time. We also compare Bhaskara’s procedures with the ones in Tantrasangraha (c. 1500 CE).