英语词汇“polar reciprocal”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

polar reciprocal n. a curve such that the polar of each point with respect to a given conic is tangential to another curve; (also) a polygon such that the polar of each point is a side of another given polygon; cf. sense reciprocal adj. 7a(b).Used analogously in spaces of higher dimension.

ΚΠ

1845 Cambr. Math. Jrnl. 4 127 Two cones may be drawn, and the vertices of these lie in the line which is the polar reciprocal of the line of intersection of the two planes.

1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 240 Two curves..such that each is the locus of the poles of the tangents of the other, and at the same time also the envelope of the polars of the points of the other, are said to be polar reciprocals one of the other with respect to the auxiliary conic.

1940 Amer. Math. Monthly 47 243 Since OK·OX is constant, the envelope of w´ is the polar reciprocal of the locus of X.

1995 Mathematica Pannonica 6 77 (title) On the area sum of a convex polygon and its polar reciprocal.

2006 Wave Motion 43 288 Another surface, called the wave surface, is the polar reciprocal of the slowness surface.

单词	polar reciprocal
释义	> as lemmas polar reciprocal polar reciprocal n. a curve such that the polar of each point with respect to a given conic is tangential to another curve; (also) a polygon such that the polar of each point is a side of another given polygon; cf. sense reciprocal adj. 7a(b).Used analogously in spaces of higher dimension. ΚΠ 1845 Cambr. Math. Jrnl. 4 127 Two cones may be drawn, and the vertices of these lie in the line which is the polar reciprocal of the line of intersection of the two planes. 1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 240 Two curves..such that each is the locus of the poles of the tangents of the other, and at the same time also the envelope of the polars of the points of the other, are said to be polar reciprocals one of the other with respect to the auxiliary conic. 1940 Amer. Math. Monthly 47 243 Since OK·OX is constant, the envelope of w´ is the polar reciprocal of the locus of X. 1995 Mathematica Pannonica 6 77 (title) On the area sum of a convex polygon and its polar reciprocal. 2006 Wave Motion 43 288 Another surface, called the wave surface, is the polar reciprocal of the slowness surface. extracted from polaradj.n. < as lemmas
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