Midcircle

The goalkeeper who is initially positioned midcircle defends the goal.

Play begins when the teacher bounces a basketball on the floor in the center of the midcircle.

As the picturing of reality by the arts and sciences progresses, the innermost circle approaches the midcircle. But the midcircle, regardless of the extent of its expansion, will never coincide with the outer circle.

The upstart had stopped in midcircle and suddenly lunged at the veteran, and as he closed in, the veteran could smell both liquor and fear on his breath, which came in short, desperate gasps.

But, though there is no perturbating motive force in the direction of the midcircle, there is nevertheleſs an accelerative one acting along it;[…].

For any two circles (spheres) there always exists at least one midcircle (midsphere) which inverts the two given circles (spheres) into each other. in the older literature this is also known as the circle (sphere) of antisimilitude.[…]The center of a midcircle (midsphere) is the center of similitude of two given circles (spheres).[…]Clearly the midcircle (midsphere) of two equal circles (spheres) is the midline (midplane) between the two, which is partial justification for calling inversion in a circle or sphere reflection in a circle or sphere.

Every triangle has a midcircle, and its center is the fourth kind of middle point that a triangle can have. In 1767 Leonhard Euler proved that for all triangles, the orthocenter, the circumcenter, the centroid and the center of the midcircle are always on the same line.