Description
This is a summary of the work "Lilawati Or A Treatise On Arithmetic And Geometry" by Bhascara Acharya. This work is a Sanskrit text that covers the basics of arithmetic, including coverage of geometry. The text was first published in English in 1816 after being translated by the East India Company surgeon John Taylor. It is still used as a textbook in India for centuries, and is of interest to the history of mathematics. In this work, Bhascara provides a pictorial proof of Pythagoras' theorem.
An important mathematician and astronomer in medieval India, Bhascara Acharya (1114-85) wrote treatises on arithmetic, algebra, geometry and astronomy. He is also believed to have been head of the astronomical observatory at Ujjain, which was the leading centre of mathematical sciences in India. Forming part of his Sanskrit magnum opus Siddhanta Shiromani, the present work is his treatise on arithmetic, including coverage of geometry. It was first published in English in 1816 after being translated by the East India Company surgeon John Taylor (d.1821). Used as a textbook in India for centuries, it provides the basic mathematics needed for astronomy. Topics covered include arithmetical terms, plane geometry, solid geometry and indeterminate equations. Of enduring interest in the history of mathematics, this work also contains Bhascara's pictorial proof of Pythagoras' theorem.