| 单词 | radical centre |
| 释义 | > as lemmasradical centre radical centre n. [after French centre radical (L. Gaultier 1813, in Jrnl. de l'École Polytechnique 9 143)] Geometry (in a system of three coplanar circles) the point of intersection of the three radical axes of each of the three pairs of circles. ΚΠ 1848 G. Salmon Treat. Conic Sections viii. 97 Given any three circles, if we take the radical axis of each pair of circles, these three lines will meet in a point, and this point is called the radical centre of the three circles. 1945 Amer. Math. Monthly 52 335 In a triangle ABC having altitudes AA′, BB′, CC′, the perpendiculars drawn from the midpoints of B′C′, C′A′, A′B′ to the sides BC, CA, AB respectively, are concurrent at the radical center of the circles..having centers A, B, C and radii AA′, BB′, CC′. 1951 Philos. Trans. (Royal Soc.) A. 244 41 The conics of the net N are ‘circles’ of which Q is the radical centre. 1989 E. J. Borowski & J. M. Borwein Dict. Math. 485 Radical centre, (of three circles) the point of intersection of the respective radical axes of each pair of circles. < as lemmas |
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