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- W47435441 abstract "This chapter discusses the analytic geometry of three-dimensional Euclidean space, which is denoted by R3. This subject is traditionally called solid analytic geometry. Three-dimensional geometry is important and interesting in its own right, and it is the key to the future study of geometric applications of calculus and of the calculus of functions of two or more variables. Plane analytic geometry begins with the introduction of two perpendicular coordinate axes in the Euclidean plane R2. One is oriented and called the x-axis. Then the other, called the y-axis, is directed so that the pair in the order x, y is a right-handed system, that is, so a positive rotation through 90° from the positive x-axis brings one to the positive y-axis. Solid analytic geometry begins with the introduction of three mutually perpendicular coordinate axes in R3. They must pass through a fixed point O called the origin. Any two of these axes are chosen, directed, and labeled the x-axis and the y-axis, respectively. The third axis is labeled the z-axis, and its direction is determined by the right-hand rule." @default.
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- W47435441 date "1978-01-01" @default.
- W47435441 modified "2023-09-25" @default.
- W47435441 title "Space Geometry and Vectors" @default.
- W47435441 doi "https://doi.org/10.1016/b978-0-12-259672-8.50016-9" @default.
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