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

  Two circles, centered at M₁, M₂   Radical axis, with sample point P   Tangential distances from both circles to P The tangent lines must be equal in length for any point on the radical axis: ${\displaystyle |PT_{1}|=|PT_{2}|.}$ If P, T₁, T₂ lie on a common tangent, then P is the midpoint of ⁠ ${\displaystyle {\overline {T_{1}T_{2}}}.}$⁠

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

Definition and calculation of ${\displaystyle d_{1},d_{2}}$

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

Radical axis: variations