释义 |
Excenter-Excenter CircleGiven a Triangle , the points , , and lie on a line, where is the Incenterand is the Excenter corresponding to . Furthermore, the circle with as the diameter has as itscenter, where is the intersection of with the Circumcircle of and is the point opposite on the Circumcircle. The circle with diameter also passes through and and has radius
It arises because the points , , , and form an Orthocentric System.See also Excenter, Incenter-Excenter Circle, Orthocentric System References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 185-186, 1929.
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