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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 120

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 120
e reciprocal of a given triangle. Call the vertices of the given triangle A{xx, y{), B{xn, 2/2), C(xz, yz)-The polars of these vertices with respect to x^ + y~ = r^ are bc(xxx + 2/2/1 = •^) ac{xx2 + 2/2/2 = »•-), a5(a:a:3 + 2/2/3 = »•)•Triangles such that the ver-tices of the one are thepoles of… … 106 ANALYTIC GEOMETRY 3. The straight lines joining the corresponding vertices of a pair ofconjugate triangles intersect in a common point. The equations of the lines through the corresponding vertices areAa, (rciX3 + 2/12/3 - r^) {xx^ + yy^ - r~) - (a;iX2 + 2/12/2 - r^){xxz + 2/2/3 - r-) = 0 ;Bh,…

Geometry, Analytic

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