circle inversionとは 意味・読み方・使い方

名詞

circle inversion (複数形 circle inversions)

1. (geometry, inversive 幾何学, for a given circle with centre O かつ radius r) A transformation that maps any point P ≠ O to the point P’ on the ray from O through P for which OP × OP’ = r², and which maps O to the point at infinity.
   • 1875, A. B. Kempe, On Some New Limkages, Messenger of Mathematics, Volume 4, page 121,

     The first of these is obtained by the method of circle inversion first discovered by Peaucellier.

   • 1997, Mathematical Association of America, MAA Notes, Issues 41-42, page 169,

     Nikolai Joukowski (1847-1921) was a Russian mathematician who did research in aerodynamics (James かつ James, 1992). He used circle inversion in the complex number plane to study airfoil shapes.

   • 2011, David Salomon, The Computer Graphics Manual‎^[1], page 88:

     As is common with nonlinear projections, it is possible to come up with many variants of circle inversions. […] An obvious (but perhaps not very useful) extension of circle inversion is sphere inversion, where the spaces inside and outside a sphere are swapped.

同意語

• (transformation): inversion

関連する語

• sphere inversion