Solving conic problems without using algebra analysis

Abstract

In this article, with 1 non-degenerate conic given by equivalent to 5 real points, how to: determine any other points of this conic, find the axis center, find the intersection of a straight line with a conic, draw a tangent from 1 point belongs or does not belong to the curve, draw a polar of 1 point, draw a poleof the straight line... The computer will draw about 1000 points of the conic then connect, and edit into a smooth, solid curve. Those quadratic lines, which are ellipse, hyperbola, parabola, cannot be drawn into a solidcurve with a simple tool like a compass.In this article, we will show how to solve these problems, according to construction methods; From there, do programming, to use whenever needed, without having to create analytic expressions.