Elements of Plane Geometry (Classic Reprint) - Tapa dura

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Excerpt from Elements of Plane Geometry

This little volume has been prepared with a view to furnish a suitable text-book on Plane Geometry for Grammar Schools, Preparatory Schools, etc.

A simple method of designating angles has been adopted, and recognized symbols have been freely used in the demonstrations, thus bringing the several steps closely together and enabling the student to master the argument with ease. The reasons on which the steps of an argument depend are not formally given, but are referred to by numbers indicating the sections in which they are found: it is believed that the pupil will impress the principles most firmly on his mind by frequency of reference.

No valid objection can be offered against the algebraic form of which some of the demonstrations partake, for most of the axioms laid down are nothing more than properties of the equation.

No apology is deemed necessary for the application of the Infinitesimal method: it has been employed whenever it gave directness, brevity, and simplicity to the demonstration.

At the close of each book, except the second, a collection of theorems and problems has been placed for the purpose of giving the pupil an opportunity to exercise his originality in demonstration and construction. A proper use of these exercises will do much toward stimulating thought and awakening a spirit of invention in the pupil.

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