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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 113

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 113
y = 15 and x^ + y^ + [>x - iy = 12. 98 A NA L YTIC GEO MET R Y Art. 55. — Okthogonal SystemsTwo circlesa? + if — ^ ax ~-2by + c — 0, x^ + if — 2 ax — 2 by + c = 0 intersect at riglit angles when the square of the distance be-tween their centers equals thesum of the squares of their radii;that… … 1-k 1-k 1-k of the coaxal system orthogonally. For the hypothesis isexpressed by the equations 2aa, + 2 b% - c- c^ = 0, 2aa, + 2bbi -c -c, = 0; the conclusion by the equation 9 g — ka cb — ^^\ l-k^l-k c - kc1-k 0, which is a direct consequence of the equations of the hypothesis. The condition that…

Geometry, Analytic

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