Reseña del editor
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Reseña del editor
The present work is intended for students who have already covered a considerable portion of the usual course in analytical geometry, and is written rather by way of appendix to tne ordinary text-book, than as an attempt to impart the rudimenfs of the subject. The use of the single variable is developed at some length, and the elementary theory of equations is applied comprehensively to problems in analytical conies. On these methods depend a large proportion of the problems in analytical geometry, though comparatively little space is afforded them (no doubt with wisdom in the case of beginners) in most text-books. If thoroughly understood, however, a method which can be so constantly applied will furnish one of those plain high-roads which are so necessary to the student, if he is to get a real grasp of the subject and readiness in applying what he knows. The use of the equation of the straight line which passes through a given point and has a given direction is enlarged upon also, ana various wellknown equations are reduced conveniently to this form. I ts applications are many, and in particular it often provides a linear expression for a quantity where otherwise we should be troubled with a quadratic surd. Moreover, though only elementary work is done, and simple results arrived at, it is hoped that the analysis is arranged and developed in such manner as to give the student some workable notions of analytic research, which may perhaps assist him in higher and narder problems. To this end several results are given, which the author beK eves to be new, though perhaps they are not of great importance or of very wide application. The reader is strongly recommended to work out the examples given in the text oore reading the solutions, so that he may discover the difficulties they are intended to illustrate. My thanks are due to theD elegates of the Clarendon
(Typographical errors above are due to OCR software and don't occur in the book.)
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