Efficiently Constructing Tangent Circles

Arthur Baragar, Alex Kontorovich

Type: Article

Publication Date: 2020-01-01

Citations: 1

DOI: https://doi.org/10.1080/0025570x.2020.1682447

Abstract

SummaryIn this short note we present, by what we surmise is the most efficient method, a straight-edge and compass construction of four mutually tangent circles in a plane.

Locations

arXiv (Cornell University) - View - PDF
Mathematics Magazine - View

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Works Cited by This (10)

Action	Title	Year	Authors
+	Geometry: Euclid and Beyond	2000	Robin Hartshorne
+	A Survey of Geometry.	1965	W. Johnson Howard Eves
+	Carlyle Circles and the Lemoine Simplicity of Polygon Constructions	1991	Duane W. DeTemple
+ PDF Chat	Tangent Spheres and Triangle Centers	2001	David Eppstein
+	Apollonius’ Problem: A Study of Solutions and Their Connections	2004	David Gisch Jason Ribando
+	The Euler-Gergonne-Soddy Triangle of a Triangle	1996	Adrian Oldknow
+ PDF Chat	Tangent Spheres and Triangle Centers	2001	David Eppstein
+ PDF Chat	From Apollonius to Zaremba: Local-global phenomena in thin orbits	2013	Alex Kontorovich
+	A History of Greek Mathematics	2013	T. L. Heath
+	The Euler-Gergonne-Soddy Triangle of a Triangle	1996	Adrian Oldknow