单词 | Radical Line | ||||||||||
释义 | Radical Line![]() The Locus of points of equal Power with respect to two nonconcentricCircles which is Perpendicular to the line of centers (the Chordal Theorem; Dörrie 1965).Let the circles have Radii The radical line is located at distances
along the line of centers from ![]() ![]()
The radical line of any two Polar Circles is the Altitude from the third vertex. See also Chordal Theorem, Coaxal Circles, Inverse Points, Inversion, Power (Circle),Radical Center
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 31-34, 1967. Dixon, R. Mathographics. New York: Dover, p. 68, 1991. Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 153, 1965. Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 28-34 and 176-177, 1929. |
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