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单词 radical axis
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radical axis
radical axis n. [after French axe radical (L. Gaultier 1813, in Jrnl. de l'École Polytechnique 9 139)] Geometry the straight line which is the locus of the points whose powers (power n.1 12d) with respect to two given coplanar circles are equal.
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1848 G. Salmon Treat. Conic Sections viii. 96 The line S − S' = O..has been called the radical axis of the two circles.
1923 W. C. Swabey & M. C. Swabey tr. E. Cassirer Substance & Function (1953) iii. 84 In this case, also, there always exists a straight line,—the so-called ‘radical axis’ of the two circles,—which..can be called the ideal common chord of the two circles, which contains their two ‘imaginary’ points of intersection.
1992 H. Eves Fund. Mod. Elem. Geom. i. 44 The radical axes of three circles with noncollinear centers, taken in pairs, are concurrent.
extracted from radicaladj.n.
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