A quadratic surface. In the Cartesian coordinate system O- xyz , it is expressed by the equation x2 / a2 + y2 / b2 + z2 / c2 = 1 ( a , b , c > 0). This surface is symmetric with respect to each of the yz , zx , and xy planes. When a = b = c , it becomes a sphere. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
二次曲面の一つ。直交座標系O- xyz に関し,x2/a2+y2/b2+z2/c2=1 ( a ,b ,c>0 ) の方程式で表わされる。この曲面は yz 平面,zx 平面,xy 平面のおのおのに対し対称である。 a=b=c の場合は球面となる。
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