Publisher's Synopsis
Excerpt from A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections: Containing an Account of Its Most Recent Extensions, With Numerous Examples
For several years Analytical Geometry has been my special study, and some of the investigations in the more advanced portions of this Treatise were first published in Papers written by myself. These include: finding the Equation of a Circle touching Three Circles; Of a Conic touching Three Conics extending the equations of Circles inscribed and circumscribed to Triangles to Circles in scribed and circumscribed to Polygons of any number of sides; the extension to Conics of the properties of Circles cutting orthogonally; proving that the Tact-invariant of two conics is the product of Six Anharmonic Ratios; and some others.
Of the Propositions in the other parts of the Treatise, the proofs given will be found to be not only simple and elementary, but in some instances original.
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