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单词 Radical axis
释义

Radical axis

英语百科

Radical axis

Figure 1. Illustration of the radical axis (red line) of two given circles (solid black). For any point P (blue) on the radical axis, a unique circle (dashed) can be drawn that is centered on that point and intersects both given circles at right angles, i.e., orthogonally. The point P has an equal power with respect to both given circles, because the tangents from P (blue lines) are radii of the orthogonal circle and thus have equal length.
If the two circles intersect, the radical axis is the secant line corresponding to their common chord.
Figure 2: The radical center (orange point) is the center of the unique circle (also orange) that intersects three given circles at right angles.

The radical axis (or power line) 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 (orthogonally); 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
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更新时间：2025/6/18 11:20:53