16 hours ago
- The text describes a geometry theorem illustrated by a diagram with a unit circle, diameter AB, and perpendicular line CD.
- The blue circle is inscribed in the triangle, while the green and orange circles are inscribed in a three-sided figure with two perpendicular sides and a circular arc.
- The radius of green and orange circles is found by solving a quadratic equation, based on distances to tangent lines and the origin.
- The theorem states the diameter of the blue circle equals the sum of the radii of the green and orange circles.
- Python code is provided to generate the diagram, using numpy and matplotlib.
- The author reflects on the challenge of reproducing such geometric proofs for AI models compared to humans.