释义 |
Power (Triangle)The total Power of a Triangle is defined by
 | (1) |
where are the side lengths, and the ``partial power'' is defined by
 | (2) |
Then
 | (3) |
 | (4) |
 | (5) |
 | (6) |
 | (7) |
 | (8) |
 | (9) |
where is the Area of the Triangle and are the Feet of the Altitudes. Finally, if a side of the Triangle and the value of any partial power are given, then the Locus ofthe third Vertex is a Circle or straight line.See also Altitude, Foot, Triangle References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 260-261, 1929.
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