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- W3022449945 abstract "Publisher SummaryThis chapter describes plane-coordinates. The plane u = λx + μy + vz + ρw = 0 determines and is determined by the ratios λ : μ : ν : ρ. Accordingly, one may say that λ, μ, v and ρ are homogeneous plane-coordinates of the plane u = 0. It will be convenient to denote the particular plane a by (λa, μa, νa, ρa). The equation xΑλ + yΑμ + zAv + wAρ = 0 states that the point A lies on the plane (λ, μ, v, ρ). Consequently, this linear equation in λ, μ, v and ρ defines the bundle of planes with vertex at A. From another point of view, one can say that this linear equation defines the point A. That is, in plane-coordinates a point is to be regarded as the vertex of the bundle formed by all planes through it." @default.
- W3022449945 created "2020-05-13" @default.
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- W3022449945 date "1960-01-01" @default.
- W3022449945 modified "2023-09-25" @default.
- W3022449945 title "PLANE-COORDINATES" @default.
- W3022449945 doi "https://doi.org/10.1016/b978-0-08-013626-4.50017-7" @default.
- W3022449945 hasPublicationYear "1960" @default.
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