Circles defined for a triangle

Spieker circle

In geometry, the incircle of the medial triangle of a triangle is the Spieker circle, named after 19th-century German geometer Theodor Spieker. Its center, the Spieker center, in addition to being the incenter of the medial triangle, is the center of mass of the uniform-density boundary of triangle. The Spieker center is also the point where all three cleavers of the triangle (perimeter bisectors with an endpoint at a side's midpoint) intersect each other. (Wikipedia).

Spieker circle
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Related pages

Cleaver (geometry) | Duality (mathematics) | Incircle and excircles of a triangle | Medial triangle | Center of mass | Euler line | Altitude (triangle) | Nagel point | Geometry | Power center (geometry) | Albert Einstein | Nine-point circle | Centroid | Spieker center | Circumscribed circle | Incenter