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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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Examples
Bake until custard jiggles only slightly incenter when gently shaken, about 18 minutes.
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.
The patient populations of traditional incenter hemodialysis, home hemodialysis and peritoneal dialysis are expected to grow over the forecast period.

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