stereographic projection

英語（米国） (en-US) 英語（イギリス） (en-GB)

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。

英語の意味

(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.

このボタンはなに？

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。

詳細

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.

詳細

stereographic projections （ plural ）