Ghanakuttaka, Ghanakuṭṭaka, Ghana-kuttaka: 1 definition
Introduction:
Ghanakuttaka means something in Hinduism, Sanskrit. If you want to know the exact meaning, history, etymology or English translation of this term then check out the descriptions on this page. Add your comment or reference to a book if you want to contribute to this summary article.
In Hinduism
Ganitashastra (Mathematics and Algebra)
Source: archive.org: Hindu MathematicsGhanakuṭṭaka (घनकुट्टक) refers to the “square-pulveriser”, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The indeterminate equation of the type [bx + c = y3] is called the ghanakuṭṭaka or the “Cube-pulveriser”. For its solution in integers Bhāskara II in the Bījagaṇita says: “A method similar to the above may be applied also in the case of a cube thus: (find) a number whose cube is exactly divisible by the divisor, as also its product by thrice the cube-root of the absolute term. An unknown multiplied by that number and super-added by the cube-root of the absolute term should be assumed. If there be no cube-root of the absolute term, then after dividing it by the divisor, so many times the divisor should be added to the remainder as will make a cube. The cube-root of that will be the root of the absolute number. If there cannot be found a cube, even by so doing, that problem will be insoluble”.
Ganitashastra (शिल्पशास्त्र, gaṇitaśāstra) refers to the ancient Indian science of mathematics, algebra, number theory, arithmetic, etc. Closely allied with astronomy, both were commonly taught and studied in universities, even since the 1st millennium BCE. Ganita-shastra also includes ritualistic math-books such as the Shulba-sutras.
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