Árpád Kurusa
mathematician, associate professor
|
Department of Geometry Bolyai Institute Faculty of Science University of Szeged |
Pascal's theorem can be dynamically presented in HTML5 with Javascript.
We give a geometric solution of the next problem shown on a dynamic figure implemented in JavaScript.
Pascal Theorem. If a hexagon's vertices $P_0$, $P_1$, $P_2$, $P_3$, $P_4$ és $P_5$ are on a conic, then the points $$G=P_0P_1 \cap P_3P_4,\ \ G=P_2P_3\cap P_5P_0\ \ H=P_4P_5\cap P_1P_2$$ are collinear.
Below is the dynamic demonstartion. To move the points you should move the appropriate sliders... :-)
x0 = | x1 = | x2 = |
x3 = | x4 = | x5 = |
The HTML and JavaScript code was written by my son Levente. I was just encouraging him and a bit tailored the result for this page.