单词 | homogeneous co-ordinates |
释义 | > as lemmashomogeneous co-ordinates c. homogeneous co-ordinates, a system in which the ratios of the co-ordinates (one more than necessary) are substituted for the co-ordinates themselves, making the equations (all except one) homogeneous. ΘΚΠ the world > relative properties > number > geometry > geometric space > [noun] > division or marking of > axis > of coordinates > co-ordinate > system of homogeneous co-ordinates1879 polar1920 1879 Encycl. Brit. X. 408/1 For the proper development of the science [of analytical geometry] homogeneous coordinates..are required. 1882 H. Cox in Q. Jrnl. Pure & Appl. Math. 18 178 Homogeneous Coordinates in Imaginary Geometry and their Application to Systems of Forces. 1934 D. M. Y. Sommerville Analyt. Geom. Three Dimensions ii. 18 If [X, Y, Z] are the ordinary non-homogeneous coordinates..let X = x/w, Y = y/w, Z = z/w, then [x, y, z, w] are called the homogeneous cartesian coordinates. 1965 H. Eves Surv. Geom. II. x. 71 Homogeneous coordinates enable us to establish the important principle of duality of plane projective geometry. < as lemmas |
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