Definitions for radical axis
rad·i·cal ax·is

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1. radical axisnoun

   The line containing the locus of points from which the segments respectively tangent to two given circles have equal length.

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1. Radical axis

   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).

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1. Radical axis

   The radical axis of two circles is the locus of points at which tangents drawn to both circles have the same length. For any point P on the radical axis, there is a unique circle centered on P that intersects both circles at right angles; conversely, the center of any circle that cuts both circles orthogonally must lie on the radical axis. In technical language, each point P on the radical axis has the same power with respect to both circles where r1 and r2 are the radii of the two circles, d1 and d2 are distances from P to the centers of the two circles, and R is the radius of the unique orthogonal circle centered on P. The radical axis is always a straight line and always perpendicular to the line connecting the centers of the circles, albeit closer to the circumference of the larger circle. If the circles intersect, the radical axis is the line passing through the intersection points; similarly, if the circles are tangent, the radical axis is simply the common tangent. In general, two disjoint, non-concentric circles can be aligned with the circles of bipolar coordinates; in that case, the radical axis is simply the y-axis; every circle on that axis that passes through the two foci intersect the two circles orthogonally. Thus, two radii of such a circle are tangent to both circles, satisfying the definition of the radical axis. The collection of all circles with the same radical axis and with centers on the same line is known as a pencil of coaxal circles.

How to pronounce radical axis?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say radical axis in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of radical axis in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of radical axis in Pythagorean Numerology is: 2

Examples of radical axis in a Sentence

1. Tzachi Hanegbi:

   We have an interest in expanding the cooperation in the Sunni axis, which is struggling against the radical axis headed by Iran, the more the Saudis, and the Gulf states in general, connect to the countries with which we are at peace and create with them a strategic front against ISIS, Iran, Hezbollah, against all the players that are our actual enemies, ultimately the effect will be unifying and not weakening.

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Radical_Axis
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Radical_Axis
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=radical axis