Acharya Virasena was an 8th-century Indian mathematician and Jain philosopher and scholar. He was a digambara monk and belonged to the lineage of Acharya Kundakunda. He is also known to be a famous orator and an accomplished poet. His most reputed work is the Jain treatise Dhavala. Late Dr. Hiralal Jain places the completion of this treatise in 816 AD.
Virasena was a noted mathematician. He gave the derivation of the volume of a frustum by a sort of infinite procedure. He worked with the concept of ardhaccheda: the number of times a number could be divided by 2; effectively logarithms to base 2. He also worked with logarithms in base 3 (trakacheda) and base 4 (caturthacheda).
Virasena gave the approximate formula C = 3d + (16d+16)/113 to relate the circumference of a circle, C, to its diameter, d. For large values of d, this gives the approximation π ≈ 355/113 = 3.14159292..., which is more accurate than the approximation π ≈ 3.1416 given by Aryabhata in the Aryabhatiya.
- Singh, A. N. "Mathematics of Dhavala". Lucknow University. Translation of part of the Dhavala.