generalized circle

Noun

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Noun

**generalized circle** (*plural* generalized circles)

- (
*geometry, inversive geometry*) A circle or a line, the two being regarded as types of a single form.- (53-4) \beta \left | \zeta \right |^2 - p\zeta - \overline{p}\overline{\zeta} + \alpha = 0,
- which is a
**generalized circle**in the ζ-plane.

**1999**, David A. Brannan, Matthew F. Esplen, Jeremy J. Gray,*Geometry*, page 252 ↗,- For any Apollonian family of circles defined by the point circles
*A*and*B*, the Coaxal Circles Theorem states that every**generalized circle**through*A*and*B*meets each of the Apollonian circles at right angles.

- For any Apollonian family of circles defined by the point circles

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.004