ProofWiki:Mathematicians/Bhāskara II Āchārya
From ProofWiki
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).
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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
- 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).
