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.
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.
