In Ganita, he names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, utilizing the decimal number system. Then he treats geometric measurements - employing 62,832/20,000 (= 3.1416) for π-and develops properties of similar right-angled triangles and of two intersecting circles.
AryabhataRelated topics
cubic decimal gives number square names rootsRelated quotes
He gave more elegant rules for the sum of the squares and cubes of an initial segment of the positive integers. The sixth part of the product of three quantities consisting of the number of terms, the number of terms plus one, and twice the number of terms plus one is the sum of the squares. The square of the sum of the series is the sum of the cubes.
Aryabhata
We believe that the developing crisis in the capitalist system, by which we mean both economic stagnation, and the social and political conflicts to which it gives rise, makes it possible to think in terms of developing a sizeable and serious revolutionary socialist party in a way that was not possible 20 or even 10 years ago.
Anthony Crosland
Poetry is a sort of inspired mathematics, which gives us equations, not for abstract figures, triangles, squares, and the like, but for the human emotions. If one has a mind which inclines to magic rather than science, one will prefer to speak of these equations as spells or incantations; it sounds more arcane, mysterious, recondite.
Ezra Pound
From the same it proceedeth, that men gives different names, to one and the same thing, from the difference of their own passions: As they that approve a private opinion, call it Opinion; but they that mislike it, Haeresie: and yet haeresie signifies no more than private opinion; but has only agreater tincture of choler.
Thomas Hobbes