English: Illustration of how to construct a circle (dashed) centered on a point P and orthogonal to a given circle (solid black) centered on the point O. The red semicircle passes through O and P. Both blue radii are perpendicular to their circumferences, so that the circles intersect at right angles. The points P and Q are inverses with respect to the circle centered on O, that is, OQ×OP equals the radius squared of the solid circle.
Italiano: Cerchi ortogonali. Le rette passanti per un punto di intersezione e i centri delle due circonferenze sono ortogonali. Nota che la retta che passa per le due intersezione è quindi ortogonale alla retta che passa per i due centri.
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{{Information |Description={{en|1=Illustration of how to construct a circle (dashed) centered on a point '''P''' and orthogonal to a given circle (solid black) centered on the point '''O'''. The red semicircle passes through '''O''' and '''P'''. Both bl