Distances in St. Louis Geometry Demo

① This example demonstrates calculating distances between two points on a St. Louis map using coordinate geometry and plotting the resulting hyperbola locus. ② Core mathematical concepts include coordinate systems, segment length, the Pythagorean theorem, the law of cosines, and the definition of conic sections (hyperbola). ③ Construction highlights: Segment creates line segments, Point defines key points, Textfield and InputBox enable interactive input, Buttons control dynamic updates, and objects such as c and a build the hyperbola equation. ④ Suitable for high‑school analytic geometry and trigonometry lessons, as well as university‑level geometric modeling demonstrations.