The total power of a triangle is defined by
(1)
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where are the side lengths, and the "partial power" is defined by
(2)
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Then
(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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where is the area of the triangle and are the feet.
Finally, if a side of the triangle and the value of any partial power are given, then the locus of the third polygon vertex is a circle or straight line.