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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 182

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 182
z either stretches the XY-plane outward from the origin, or shrinks it toward the origin,according as r is greater or less than unity, and then turns thewhole plane about the origin through the angle 0. R = The function lo1 ^ may be written R • e® : ■^, whence z r A circle in the XF-planc with… … the XF-plane making an angle 6 with the X-axis, is trans-formed into a straight line through the origin in the t/F-planemaking an angle — 0 Avith the {7-axis. If iv and z are inter-preted in the same axes, the function lo =- is equivalent to a ztransformation by reciprocal radii vectors with…

Geometry, Analytic

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