Assertion: inversion's inverse | /r/HasProperty | point
Facets:
value: in the plane
type: LOCATION
Source sentences:
text: In the plane, the inverse of a point P with respect to a reference circle (Ø) with center O and radius r is a point P', lying on the ray from O through P such that
text: In inversive geometry, an inverse curve of a given curve C is the result of applying an inverse operation to C. Specifically, with respect to a fixed circle with center O and radius k the inverse of a point Q is the point P for which P lies on the ray OQ and OP·OQ = k2.
text: r. The inverse of P with respect to c is a point Q on the line[O,P] such that distance[O,P]
text: If point P is not O, the inverse of P with respect to the circle is the point P′ lying on ray OP such that (OP)(OP′) = r2.