A small note on aryabhatta's contribution to maths. plzzz i want it fast. First answer will get two thumbs up!!
ARYABHATTA CONTRIBUTIONS TO MATHEMATICSNUMBER NOTATIONØNumerical values:he made a notation system in which digits are denoted with the help of alphabet numerals e.g., 1 = ka, 2 = Kha, etc.ØNotation system:He invented a notation system consisting of alphabet numerals Digits were denoted by alphabet numeralsØPlace-value:Aryabhatta was familiar with the place-value system.ALGEBRAØInteger solutions:Aryabhatta was the first one to explore integer solutions to the equations of the form by =ax+c and by =ax-c, where a,b,c are integers. He used kuttuka method to solve problems.ØIndeterminate equations:He gave general solutions to linear indeterminate equations ax+by+c= 0 by the method of continued fraction.GEOMETRYØDiscover thePValue :The credit for discovering the exact valuesPmay be ascribed to the celebrated mathematician Aryabhatta.Rule: Add 4 to 100, multiply by 8, add 62000. The result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given.This givesP=62832/20000=3.1416. Which is an accurate value ofP. Aryabhatta discovered this value independently and also realized thatPis an irrational numberØPythagorean Theorem:The Pythagorean theorem is stated as follows in his work the square of the Bhuja (base) plus the square of the koti (perpendicular) is the square of the Karna(Buja and koti are the sides of a right-angled triangle. The Karna is the hypotenuse)ØCircle Theorem:He has postulated a theorem relating to circle as follows In a circle the product of two Saras is the square of the half chord of the two arcs i.e. a*b=c2where c is half the chord and the saras or arrows are the segments of a diameter which bisect any chord.ØFormula:Aryabhatta gives formulae for the areas of a triangle, square, rectangle, rhombus, circle etc.