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  "body": "\n## Summary\n\nThe radical axis of two non-concentric [[circles|060W5CBZP6]] is the set of points that have the same [[power|02E9VT1RVQ]] with respect to both circles.\nIt is a straight line perpendicular to the line through the two centres.\nWhen the circles meet in two points, it is the line through those points.\nRadical axes give short proofs of many concurrency and collinearity results.\n\n## Explanations\n\n### L1 human\n\nFrom a point outside a circle, draw a tangent segment to the circle.\nThe radical axis of two circles is where these tangent segments to the two circles have equal length.\nIf two circles cross, the radical axis is the line through their two crossing points.\nFor example, the unit circles centred at $(0, 0)$ and $(2, 0)$ touch at $(1, 0)$, and their radical axis is the vertical line $x = 1$.\n",
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