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OF

PLANE GEOMETRY

BY

ALAN SANDERS

HUGHES HIGH SCHOOL, CINCINNATI, OHIO

NEW YORK: CINCINNATI: CHICAGO
AMERICAN BOOK COMPANY

HARVARD
UNIVERSITY
LIBRARY

COPYRIGHT, 1901, BY

AMERICAN BOOK COMPANY.

ENTERED AT STATIONERS' HALL, LONDON.

SANDERS' PLANE GEOM.

E-P 3

PURPOSE AND DISTINCTIVE FEATURES

Its

THIS work has been prepared for the use of classes in high schools, academies, and preparatory schools. distinctive features are:—

1. The omission of parts of demonstrations.

By this expedient the student is forced to rely more on his own reasoning powers, and is prevented from acquiring the detrimental habit of memorizing the text.

As it is necessary for the beginner in Geometry to learn the form of a geometrical demonstration, the demonstrations of the first few propositions are given in full. In the succeeding propositions only the most obvious steps are omitted, the omission in each case being indicated by an interrogation mark (?). In no case is the student expected to originate the plan of proof.

2. The introduction, after each proposition, of exercises bearing directly upon the principle of the proposition.

As soon as a proposition has been mastered, the student is required to apply its principle in the solution of a series of easy exercises. Hints or suggestions are given to aid the pupil in the solution of the more difficult exercises.

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