# plane at infinity造句

## 例句與造句

- In turn, all these lines lie in the
*plane at infinity*. - Also, every line in 3-space intersects the
*plane at infinity*at a unique point. - Also, every plane in the affine 3-space intersects the
*plane at infinity*in a unique line. - Any pair of parallel lines in 3-space will intersect each other at a point on the
*plane at infinity*. - If a projective 3-space is given, the "
*plane at infinity*" is any distinguished projective plane of the space. - It's difficult to find
*plane at infinity*in a sentence. 用*plane at infinity*造句挺難的 - Also in the 17th century, Girard Desargues, motivated by the theory of perspective, introduced the concept of idealized points, lines, and
*planes at infinity*. - Any pair of parallel planes in affine 3-space will intersect each other in a projective line ( a line at infinity ) in the
*plane at infinity*. - The three vertices considered at infinity ( the real projective
*plane at infinity*) correspond directionally to the three vertices of the hemi-octahedron, an abstract polyhedron. - Since traditional " Euclidean " space never reaches infinity, the projective equivalent, called extended Euclidean space, must be formed by adding the required'
*plane at infinity*'. - This point of view emphasizes the internal structure of the
*plane at infinity*, but does make it look " special " in comparison to the other planes of the space. - The third case generates the hyperbolic paraboloid or the hyperboloid of one sheet, depending on whether the
*plane at infinity*cuts it in two lines, or in a nondegenerate conic respectively. - The second case generates the ellipsoid, the elliptic paraboloid or the hyperboloid of two sheets, depending on whether the chosen
*plane at infinity*cuts the quadric in the empty set, in a point, or in a nondegenerate conic respectively. - On the other hand, given an affine 3-space, the "
*plane at infinity*" is a projective plane which is added to the affine 3-space in order to give it closure of lines are the lines where parallel planes of the affine 3-space will meet. - A nice example of such a geometry is obtained by taking the affine points of PG ( 3, q ^ 2 ) and only those lines that intersect the
*plane at infinity*in a point of a fixed Baer subplane; it has parameters ( s, t, \ alpha, \ mu ) = ( q ^ 2-1, q ^ 2 + q, q, q ( q + 1 ) ).