. The principles of projective geometry applied to the straight line and conic . Method of False Positions 239 Hence the ranges described bj^ P and S are projective and their self-corre-sponding points give possible vertices of the required triangle. The correlative construction gives the solution of the following problem : To circumscribe a triangle to a given conic so that its vertices shall lie on threegiven lines. The above and likewise the correlative solution may be extended to the case inwhich the triangle is replaced by a polygon, whose sides pass through fixed pointsor whose vertices
. The principles of projective geometry applied to the straight line and conic . Method of False Positions 239 Hence the ranges described bj^ P and S are projective and their self-corre-sponding points give possible vertices of the required triangle. The correlative construction gives the solution of the following problem : To circumscribe a triangle to a given conic so that its vertices shall lie on threegiven lines. The above and likewise the correlative solution may be extended to the case inwhich the triangle is replaced by a polygon, whose sides pass through fixed pointsor whose vertices lie on fixed lines. {d) To describe a circle to tov-ch three given circles. Si ^ :^^ Sa
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometryprojective
