The Open Manual

A Brief Historical Note on Properties of Triangles From the beginning, triangles have been utilised in beautiful patterns. Pythagoras is credited with some of the first geometrical discoveries relating to the properties of triangles, such as the right angled triangle. However, millennia before Pythagoras, the sulbasutra period in India gave us some intriguing features of triangles. Like Ceva's theorem, many theorems deal with properties of triangles. However, the systematic approach to geometry in general, and properties of triangles in particular, may be traced back to the Greek period and Euclid's Elements. The Greeks urged that geometrical fact be proven using deductive reasoning rather than empirical techniques, as was the case in many prior cultures, and that geometrical conclusions be reached through logical proof rather than trial and error experimentation. In other words, the Greeks changed the empirical geometry of the Egyptians , Babylonians , and Indians into logical

Trigonometry was developed in light of the fact that, its need emerged at first for the study of Astronomy. The Surya Siddhanta gives a decent explanation of Ancient Indian trigonometry. Varahamihira's Pancha-Siddhantika is based on Surya Siddhanta . This covers a lot of Trigonometric principles. These principles are useful and important for Astronomical examinations. Plane- and Spherical- Trigonometry was also addressed in detail in later works of notable Indian mathematicians of the past. Astronomers used it to compute distances over earth and round surfaces to different planets, etc. Egypt and Babylon are home to the first known works on trigonometry. Trigonometry was widely used in geography and navigation in the later years. Trigonometry expertise assisted cartographers in creating maps. Also, the knowledge helped them in determining the position of an island in reference to longitudes and latitudes. British India surveyors utilized trigonometry to find the peak of the world&