Mathematician:Bhaskara II Acharya

Bhāskara (Kannada: ಭಾಸ್ಕರಾಚಾರ್ಯ) was an Indian mathematician and astronomer.

He is known as Bhāskara II, Bhāskara Āchārya ("Bhāskara the teacher"), or Bhāskarāchārya, to distinguish him from Bhāskara I).

Nationality
Indian

History

 * Born: 1114 in Vijayapura, near Bijjada Bida (in present day Bijapur district, Karnataka state), South India
 * Died: 1185 in Ujjain, India

Theorems and Definitions

 * Bhaskara's Lemma


 * A proof of Pythagoras' Theorem by dropping a perpendicular and investigating the relations between the ratios of the sides of the resulting similar triangles.


 * A proof of Pythagoras' Theorem by calculating the same area in two different ways and then canceling out terms to get $a^2 + b^2 = c^2$.


 * Solutions of quadratic, cubic and quartic indeterminate equations.

Books and Papers
All written in ca. 1150 B.C.E.:
 * Līlāvatī (about arithmetic)
 * Bijaganita (about algebra)
 * Siddhanta Shiromani which consists of two parts:
 * Goladhyaya (sphere)
 * Grahaganita (mathematics of the planets).

Also see

 * : Chapter $3$: Notations and Numbers