Tripolar Coordinates of Soddy Centers

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For a triangle , let , and be the side lengths, the circumradius, the inradius and the semiperimeter.


Let and be the outer and inner Soddy centers.




The formulas for distances to and are similar. These formulas thus provide three distances from the vertices to each center, which are its tripolar coordinates.

You can drag the points , and .


Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA



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