Synopses & Reviews
Synopsis
Excerpt from The Elements of Analytic Geometry
In preparing this volume the authors have endeavored to write a drill book for beginners which presents the elements of the subject in a manner conforming with modern ideas. The scope of the book is limited only by the assumption that a knowledge of Algebra through quadratics must suffice for any investigation. This does not mean a treatise on conic sections. In fact, the authors have intentionally avoided giving the book this form. Conic sections naturally appear, but chieﬂy as illustrative of general analytic methods. A chapter is devoted to their study, but the numerous properties of these curves are developed inci dentally as applications of methods of general importance.
The subject-matter is rather more than is necessary for the usual course of sixty exercises. It has been made so intentionally, to permit of choice on the part of the teacher, and also in order to include all topics strictly elementary in the sense defined above. The table of contents will show topics not usually treated. For example, in discussing the nature of the locus of the general equation of the second degree (chapter XII), invariants are introduced. Again, three chapters are devoted to the simple transformations in the plane. After mastering the entire book, the student is assured of an acquaintance with all that is funda mental in modern Analytic Euclidean Geometry.
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