Mathematician:Bhaskara II Acharya

Mathematician
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 ).

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.

Publications
All written in ca. 1150 B.C.E.:
 * Līlāvatī (about arithmetic)


 * Bijaganita (about algebra)


 * Siddhanta Shiromani (or Siddhantasiromani) which consists of two parts:
 * Goladhyaya (sphere)
 * Grahaganita (mathematics of the planets).


 * Vasanabhasya of Mitaksara ('s own commentary on the Siddhanta Shiromani)


 * Karanakutuhala (Calculation of Astronomical Wonders) or Brahmatulya (a simplified version of the Siddhanta Shiromani)


 * Vivarana (a commentary on the Shishyadhividdhidatantra of.

Notable Quotes

 * Behold!
 * -- on demonstrating a proof of Pythagoras's Theorem


 * The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.
 * -- on negative roots