Mathematician:Bhāskara II Āchārya
Contents
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 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
- 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.
Results named for Bhāskara II Āchārya can be found here.
Publications
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).
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.
Sources
- John J. O'Connor and Edmund F. Robertson: "Bhāskara II Āchārya": MacTutor History of Mathematics archive
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.1$: The Pythagorean Theorem
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence
- 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $3$: Notations and Numbers