English Dictionary

stereographic projection

名詞

(projective geometry, complex analysis, cartography) A function that maps a sphere onto a plane; especially, the map generated by projecting each point of the sphere from the sphere's (designated) north pole to a point on the plane tangent to the south pole.

日本語の意味

球面の各点を、指定された一点（通常は北極）から平面上（球の南極に接する平面）へ写し出す写像。 / 射影は、幾何学、複素解析、地図製作において、球面を平面に対応づける方法として利用される。

In complex analysis, the stereographic projection maps points on the Riemann sphere to the complex plane, transforming circles on the sphere into circles or straight lines on the plane.

複素解析では、球面を平面に写す写像がリーマン球面上の点を複素平面へ対応させ、球面上の円を平面上の円や直線に変換します。

意味（1）

(projective geometry, complex analysis, cartography) A function that maps a sphere onto a plane; especially, the map generated by projecting each point of the sphere from the sphere's (designated) north pole to a point on the plane tangent to the south pole.

Thus we see that stereographic projection establishes a one-to-one correspondence between the extended complex plane and the Riemann sphere.

stereographic projections （ plural ）