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FROM THE PREFACE. For two years I have been giving my advanced classes in Geometry work in conic sections by means of notes copied by the hektograph. The amount of work has grown on my hands till it has become too large for convenient use in its present form; so it is now put in the hands of the printer. To show the connection of the curves by their definition, and not to follow too closely the line of reasoning in other American works on this subject, I used Boscovitch's definitions, and find by so doing many theorems can be demonstrated with less work than by using the ordinary definitions. The demonstrations are necessarily longer than those relating to the straight line and circle, but there is a corresponding advantage in discipline to the student. Although more details are given than in English works, it is hoped that enough has been omitted to require the independent thought of the student; and the author trusts it may be of some use to those desiring a knowledge of this extensive subject.

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9781540510860

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