Tangent Spheres and Triangle Centers
Abstract
Any four mutually tangent spheres in R3 determine three coincident lines through opposite pairs of tangencies. As a consequence, we define two new triangle centers.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.