Excerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Geometry and Trigonometry
Sir - In permitting me to inscribe to you this Treatise of Elementary Geometry, you do me great honor. Your experience and success as a Teacher and an Author will readily enable you to give a full scrutiny to the design and compass of this volume. Much originality can not be expected in a subject which has been, for more than two thousand years, enriched by a great number of eminent men; but in these days of practicability, a modification of this science may be attempted, as you have yourself thought proper to do, with a view of utilizing the important principles of Geometry, and presenting them in such a manner that though "no royal road to Geometry" can be found, the path to a knowledge of it may be rendered so clear that the impediments will be in the learner himself. And to remove much difficulty in acquiring an easy acquaintance with its numerous theorems and problems, I have thought proper to exclude the inelegant Redirection ad absurdum from the methods of geometrical reasoning which you have expressed - "a consummation most devoutly to he wished," and which accomplishment, resulting from my labors, I now present for the benefit and use of those whose education is in the future.
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