Hindu Achievements in Exact Science: A Study in the History of Scientific Development c9.12

c9.12

1. The construction of right-angled triangles with rational sides;
2. The various properties of right-angled triangles;
3. The area of a cyclic quadrilateral;
4. The properties of isosceles trapezium;
5. The properties of cyclic quadrilateral;
6. The properties of circles; Brahmagupta gave the rules (1) for finding the diameter of a circle when the height and chord of a segment of it are given, and (2) for finding the area of a segment of a circle. The first rule in the form given by the Hindu was not known in Greece. Musa (830) learnt both these rules from Brahmagupta's works.
7. The volume of a cone as one-third the volume of the cylinder;
8. The volume of a pyramid as one-third the volume of the prism;
9. The volume of a cavity of uniform bore (prismatic or cylindrical).