What does radical line mean?
Definitions for radical line
rad·i·cal line
This dictionary definitions page includes all the possible meanings, example usage and translations of the word radical line.
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Wiktionary
radical linenoun
The line containing the locus of points from which the segments respectively tangent to two given circles have equal length.
Wikipedia
radical line
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 line in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of radical line in Pythagorean Numerology is: 7
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"radical line." Definitions.net. STANDS4 LLC, 2024. Web. 8 May 2024. <https://www.definitions.net/definition/radical+line>.
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