Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an Appendix, and Copious Notes and Illustrations (Classic Reprint) - Softcover

Excerpt from Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an Appendix, and Copious Notes and Illustrations

We should form a wrong estimate, however, did we consider the Elements of Euclid, with all its merits, as a finished production. That admirable work was composed at the period when geometry was making its most rapid advances, and new pro spects were Opening on every side. No wonder that its structure should now appear loose and defee tive. In adapting it to the actual state Of the sci.' ence, I have therefore endeavoured carefully to te tain the spirit of the original, but have Sought to enlarge the basis, and to dispose the accumulated materials into a regular and more compact system. By simplifying the order of arrangement, I presume that I have materially abridged the labour of the student. The numerous additions which are incor porated in the text, so far from retarding, will ta ther facilitate his progress, by rendering more con tinous the chain of demonstration.

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