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单词 inverse point
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inverse point
e. Geometry. Designating a point, line, curve, etc., related to another by geometric inversion (inversion n. 23), as inverse point, inverse line, inverse curve, etc.
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conjugate1715
inverse curve1843
inverse1857
homoeomorph1926
1843 London, Edinb., & Dublin Philos. Mag. 23 343 The area of the inverse ellipse is an arithmetic mean between the areas of the circles described on its axes.
1873 G. Salmon Treat. Higher Plane Curves (ed. 2) vi. 247 The six inverse lines also touch a conic.
1925 H. F. Baker Princ. Geom. (2010) IV. i. 14 These are the formulae of inversion in the plane ω, in which (ξ, η, ζ) are the coordinates of a point, and (ξ', η', ζ') those of the inverse point.
1961 Math. Gaz. 45 133 From this it is concluded that the inverse curve is a circle.
2006 J. G. Ratcliffe Found. Hyperbolic Manifolds (ed. 2) iv. 115 We have that ɸ(x) and ɸ(y) are inverse points with respect to ɸ(Σ).
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