What does radical plane mean?
Definitions for radical plane
rad·i·cal plane
This dictionary definitions page includes all the possible meanings, example usage and translations of the word radical plane.
Wiktionary
radical planenoun
The plane containing the circle formed by the intersection of two spheres (or whose points have equal power with respect to two non-intersecting spheres)
Wikipedia
radical plane
In Euclidean geometry, the radical axis of two non-concentric circles is the set of points whose power with respect to the circles are equal. For this reason the radical axis is also called the power line or power bisector of the two circles. In detail: For two circles c1, c2 with centers M1, M2 and radii r1, r2 the powers of a point P with respect to the circles are Π 1 ( P ) = | P M 1 | 2 − r 1 2 , Π 2 ( P ) = | P M 2 | 2 − r 2 2 . {\displaystyle \Pi _{1}(P)=|PM_{1}|^{2}-r_{1}^{2},\qquad \Pi _{2}(P)=|PM_{2}|^{2}-r_{2}^{2}.} Point P belongs to the radical axis, if Π 1 ( P ) = Π 2 ( P ) . {\displaystyle \Pi _{1}(P)=\Pi _{2}(P).} If the circles have two points in common, the radical axis is the common secant line of the circles. If point P is outside the circles, P has equal tangential distance to both the circles. If the radii are equal, the radical axis is the line segment bisector of M1, M2. In any case the radical axis is a line perpendicular to M 1 M 2 ¯ . {\displaystyle {\overline {M_{1}M_{2}}}.} On notationsThe notation radical axis was used by the French mathematician M. Chasles as axe radical. J.V. Poncelet used chorde ideale. J. Plücker introduced the term Chordale.J. Steiner called the radical axis line of equal powers (German: Linie der gleichen Potenzen) which led to power line (Potenzgerade).
Numerology
Chaldean Numerology
The numerical value of radical plane in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of radical plane in Pythagorean Numerology is: 6
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"radical plane." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/radical+plane>.
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