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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 160

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 160
X Y . X——, ?/ = — is therefore simijly to change the scale of tlu; drawing. Figures thus related are said to be similar. When the two equations/(;r, y) = 0, fi~-, — j = 0 are interpreted in the same axes, their loci are similar and similarly placed; when interpreted in differ- ^ ent axes but… … Y2 In like manner, all hyperbolas of a similar system -^ • ??i^a^ mb-have the same eccentricity. The parabolas similar to y^ = 2x)xare represented by the equation Y^ = 22)mX.Taking as corresponding points J(^, y), Pi(mx, my), !.,(- mx, Z/), 146 ANALYTIC GEOMETRY the figure traced by Pi is similar…

Geometry, Analytic

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