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What is Constructing Integer Ellipses with Triangles about?
The document presents a mathematical solution to constructing an ellipse with integer values for its semi-major axis A, semi-minor axis B, and distance between foci 2C, such that it has at least one point with integer coordinates other than the vertexes. It shows that using "triple code numbers" to represent the dimensions of the ellipse in terms of two triangles allows finding a perfect triple that satisfies the required properties. As an example, it gives the triple of 3, 4, 5 which yields the ellipse wit
- Author
- Pablo Etcheverry
- Language
- EN