| 1. | Then their centers and the center of the incircle are colinear.
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| 2. | All triangles have an incircle, but not all quadrilaterals do.
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| 3. | Invert with respect to the incircle of triangle " ABC ".
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| 4. | The circumcenter is inside the incircle if and only if
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| 5. | Let r and R denote the radii of the incircle and the circumcircle.
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| 6. | Associated with the incircle of a triangle are three more circles, the excircles.
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| 7. | A center of the Spieker circle, which is the incircle of the medial triangle.
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| 8. | The center of the incircle is a triangle center called the triangle's incenter.
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| 9. | Like the incircle, the excircles are all tangent to the nine-point circle.
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| 10. | I've just looked up incircle and was surprised to see the definition given for excircles.
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