Tangent Spheres and Triangle Centers

David Eppstein

Type: Article

Publication Date: 2001-01-01

Citations: 3

DOI: https://doi.org/10.2307/2695679

Abstract

Any four mutually tangent spheres in R^3 determine three coincident lines through opposite pairs of tangencies. As a consequence, we define two new triangle centers.

Locations

American Mathematical Monthly - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
DataCite API - View

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Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Modern Pure Solid Geometry	1936	Nathan Altshiller‐Court
+	The Isoperimetric Point and the Point(S) of Equal Detour in a Triangle	1985	G. R. Veldkamp
+	A theorem concerning Soddy-circles	1966	GR Geert Veldkamp
+	The Euler-Gergonne-Soddy Triangle of a Triangle	1996	Adrian Oldknow
+	The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-history	1995	Philip J. Davis
+	Triangle Centers and Central Triangles	2001	Gerry Leversha Clark Kimberling
+	Modern Pure Solid Geometry.	1936	J. R. Musselman N. Altshiller-Court
+	The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-History	1995	Philip J. Davis
+	The Euler-Gergonne-Soddy Triangle of a Triangle	1996	Adrian Oldknow