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  2. Jyā, koti-jyā and utkrama-jyā - Wikipedia

    en.wikipedia.org/wiki/Jyā,_koti-jyā_and_utkrama...

    Literal meaning of jyā Technical meaning of jyā and kojyā. An arc of a circle is like a bow and so is called a dhanu or chāpa which in Sanskrit means "a bow". The straight line joining the two extremities of an arc of a circle is like the string of a bow and this line is a chord of the circle.

  3. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    There are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen definition. The oldest and most elementary definitions are based on the geometry of right triangles and the ratio between their sides.

  4. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Trigonometry was still so little known in 16th-century northern Europe that Nicolaus Copernicus devoted two chapters of De revolutionibus orbium coelestium to explain its basic concepts. Driven by the demands of navigation and the growing need for accurate maps of large geographic areas, trigonometry grew into a major branch of mathematics. [27]

  5. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    Much as modern trigonometry is built on the sine function, ancient trigonometry was built on the chord function. Hipparchus is purported to have written a twelve-volume work on chords, all now lost, so presumably, a great deal was known about them.

  6. Madhava of Sangamagrama - Wikipedia

    en.wikipedia.org/wiki/Madhava_of_Sangamagrama

    Madhava made pioneering contributions to the study of infinite series, calculus, trigonometry, geometry and algebra. He was the first to use infinite series approximations for a range of trigonometric functions, which has been called the "decisive step onward from the finite procedures of ancient mathematics to treat their limit -passage to ...

  7. Rama Nath Sharma - Wikipedia

    en.wikipedia.org/wiki/Rama_Nath_Sharma

    Rama Nath Sharma (also written as Ramanath Sharma) was born in 1939 at Chhata, Ballia, India [1] [2] in a family of traditional Sanskrit scholars. He studied Sanskrit from his father Padmashri Paṇḍita Raghunath Sharma , the author of the famous commentary Ambākartrī on the Vākyapadīyam of Bhartṛhari .

  8. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  9. Ram Sharan Sharma - Wikipedia

    en.wikipedia.org/wiki/Ram_Sharan_Sharma

    [11] After that, Sharma was part of a Government of India appointed committee to examine the historical veracity of claims made regarding Ram Sethu by certain devout Hindus- specifically, that Ram Sethu was made by the Hindu God Ram and not a result of natural formation (the result of continuous wave action). [11] Sharma, who was the historian ...