History Of Parabola Math

Problems remain a prominent focus of parabola but over the past decade in particular there has.

History of parabola math. One description of a parabola involves a point the focus and a line the directrix the focus does not lie on the directrix. History unsw school of mathematics competition. Quality exposition of genuine mathematics. Parabola n a curve commonly defined as the intersection of a cone with a plane parallel with its side 1570s from modern latin parabola from greek parabole a comparison parable literally a throwing beside hence a juxtaposition see parable so called by apollonius of perga c.

The equation of a parabola in polar coordinates rho phi is rho frac p 1 cos phi textrm where 0 phi 2 pi. As a plane curve it may be defined as the path locus of a point moving so that its distance from a fixed line the directrix is equal to its distance from a fixed point the focus. A parabola has an optical property. A parabola is a type of conic section which is an open curve formed by the intersection of a plane and a right circular cone.

He was trying to dublicate the cube by finding the side of the cube that has an area double the cube. Instead menaechmus solved it by finding the intersection of the two parabolas x 2 y and y 2 2x. In mathematics a parabola is a plane curve which is mirror symmetrical and is approximately u shaped it fits several other superficially different mathematical descriptions which can all be proved to define exactly the same curves. Parabola open curve a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

Because it is produced by application of a given area to a given straight line. The history the parabola was explored by menaechmus 380 bc to 320 bc who was a pupil of plato and eudoxus.