Wolfram Language

Formulate Theorems in Multiple Ways: Pappus's Hexagon Theorem

RandomInstance and FindGeometricConjectures can be used to discover complex geometric theorems, while allowing flexibility in how the scene is described.

Pappus's hexagon theorem states that for a crossed hexagon where every other vertex is collinear, the points of intersection of the three pairs of opposite sides are collinear. Represent the hypotheses of Pappus's hexagon theorem as a GeometricScene.

Successfully conjecture the conclusion.

Use different but equivalent hypotheses to generate yet another instance of the same abstract scene.

Again, successfully conjecture the conclusion.

Related Examples

de es fr ja pt-br zh