WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

A Concurrency Generated by Circles about a Triangle's Sides and Lines through an Internal Point

Let ABC be a triangle and P be an interior point. Let A', B', and C' be the external intersections of AP, BP, and CP with the circles whose diameters are BC, AC, and AB, respectively. Let the circumcircle of A', B', and C' intersect the circles whose diameters are BC, AC, and AB again at A'', B'', and C''. Then AA'', BB'', and CC'' are concurrent.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.