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[1] [3] The half-chords were called ardha-jyās or jyā-ardhas. These terms were again shortened to jyā by omitting the qualifier ardha which meant "half of". The Sanskrit word koṭi has the meaning of "point, cusp", and specifically "the curved end of a bow". In trigonometry, it came to denote "the complement of an arc to 90°".
It is first text completely written on mathematics with questions asked in it being completely different from one asked in previous texts composed in Indian subcontinent. In the 9th century, during Amoghavarsha 's rule [ 1 ] Mahaviracharya wrote Ganitsara sangraha which is the first textbook on arithmetic in present day. [ 2 ]
Chapter 12, containing 66 Sanskrit verses, was divided into two sections: "basic operations" (including cube roots, fractions, ratio and proportion, and barter) and "practical mathematics" (including mixture, mathematical series, plane figures, stacking bricks, sawing of timber, and piling of grain). [73]
Bhāskara (c. 600 – c. 680) (commonly called Bhāskara I to avoid confusion with the 12th-century mathematician Bhāskara II) was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's ...
The book is divided into six parts, mainly indeterminate equations, quadratic equations, simple equations, surds. The contents are: Introduction
Saraswati P. Venkataraman Sastri (IAST: P. Veṅkatarāmaṇ Śāstrī), hieratically titled H.H. Jagadguru Shankaracharya Swami Bharatikrishna Tirtha (IAST: Jagadguru Śaṅkarācārya Svāmī Bhāratīkṛṣṇa Tīrtha) (1884–1960), was Shankaracharya and officiating pontiff of Dwaraka Math, and then the 143rd Shankaracharya and supreme pontiff of Govardhana Math in Puri in the Indian ...
Līlāvatī is a treatise by Indian mathematician Bhāskara II on mathematics, written in 1150 AD. It is the first volume of his main work, the Siddhānta Shiromani, [1] alongside the Bijaganita, the Grahaganita and the Golādhyāya. [2] A problem from the Lilavati by Bhaskaracharya. Written in the 12th century.
1.9. The diagonal of a square produces double the area [of the square]. [...] 1.12. The areas [of the squares] produced separately by the lengths of the breadth of a rectangle together equal the area [of the square] produced by the diagonal. 1.13. This is observed in rectangles having sides 3 and 4, 12 and 5, 15 and 8, 7 and 24, 12 and 35, 15 ...