“geodesic”的概念、定义、习题解题方法及翻译-数学辞典

单词

geodesic

释义

geodesic

A curve on a surface, joining two given points, that is the shortest curve between the two points. On a sphere, a geodesic is an arc of a great circle through the two given points.

For a curve γ(s), parameterized by arc length s, this is equivalent to the acceleration vector $inline$ being normal to the surface. A curve γ(s) = r(u(s),v(s)) in a parameterized surface r(u,v) is a geodesic if it satisfies the equations

where E,2F,G are the coefficients of the first fundamental form. See also Christoffel symbols.

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。