HAMSIHAMSI

The History of Astronomical and Mathematical Sciences in India (HAMSI) Working Group is dedicated to fostering and disseminating research in the history of Indian exact sciences (including astronomy, mathematics, and related subjects), and integrating it into the history of mathematics in general.

Sanskrit Sine Tables

Authors in the Sanskrit astral science tradition used different values for the base Radius of their trigonometric function and tabulated their Sines accordingly for varying increments of arc. The sine values were presented in the form of rhetorical tables; practitioners computed various key values for the Sine, and encoded the results (or frequently the first-differences) in a versified form, so they were easy to remember and recollect. Intermediary values were to be generated by linear (or sometimes higher order) interpolation between these tabulated values.

Various Sine tables have been extracted from the verses in which they appear and are presented in ascending order of Radius length along with the various authors who used them.  They have been presented in tabular form so that they may be cut and paste into the spreadsheet of choice to be used in modern recomputations.  Given the diversity of expression, the actual contents of the text have been highlighted in blue,  other (modern) elements have been provided (number, arcs, decimal representations, and so on) for the convenience of the user and are not original to the text.