Excerpt from Brief Course in Analytic Geometry
In their "Elementary Course in Analytic Geometry" the authors of this book endeavored to prepare a text suitable for the general student, as well as for the student who desires a definite scientific training, including preparation for advanced mathematical study. The success of the "Elementary Course" has been demonstrated by its adoption and continued use in many of the leading colleges and scientific schools.
Since the publication of that text, however, there has been a growing desire for a somewhat briefer book preserving the same rigor of proofs and careful analysis, but omitting or shortening the less important details. The "Brief Course in Analytic Geometry" is prepared to meet this demand.
The chief features of the "Elementary Course" which have won such universal approval have been included. These are:
(1) An extended introduction to the method of the analytic geometry, - showing the value of the interpretation of the negative number by means of coordinates, the relation of the locus to the equation, and the use of the equation to find and demonstrate properties of the locus.
(2) Introduction of the demonstration of general theorems by numerical examples, in order to make clear the method used before bringing in the added difficulties of literal notation and general proofs.
(3) The use of some intrinsic properties of curves, to emphasize further the fact that the coordinates are a tool, an intermediate device, not essential to the properties which are studied by their aid.
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