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单词 Power (Triangle)
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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更新时间:2025/4/28 8:42:31