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What is an incenter?

What is an incenter? Here are some definitions.

Noun
  1. (US, geometry) The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
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Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle.
In each of the three triangles pass a straight line through its incenter and circumcenter.
Therefore, the hexagon lies on a circle centered at the incenter of that triangle.
Bake until custard jiggles only slightly incenter when gently shaken, about 18 minutes.
The patient populations of traditional incenter hemodialysis, home hemodialysis and peritoneal dialysis are expected to grow over the forecast period.

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