[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Hindu Achievements in Exact Science: A Study in the History of Scientific Development](https://indike.org/pramana/ins.science.sarkar-1918) › c9.12 # Hindu Achievements in Exact Science: A Study in the History of Scientific Development c9.12 Hindu Achievements in Exact Science: A Study in the History of Scientific Development c9.12 - **Language:** English ### [c9.12](https://indike.org/pramana/ins.science.sarkar-1918.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). - [Previous: c9.11](https://indike.org/pramana/ins.science.sarkar-1918.c9.11) - [Next: c9.13](https://indike.org/pramana/ins.science.sarkar-1918.c9.13) - [Up: c9](https://indike.org/pramana/ins.science.sarkar-1918.c9) --- Source: [https://indike.org/pramana/ins.science.sarkar-1918.c9.12](https://indike.org/pramana/ins.science.sarkar-1918.c9.12) · Pramāṇa