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ELEMENTARY SYNTHETIC GEOMETRY.

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ELEMENTARY SYNTHETIC GEOMETRY OF THE

POINT, LINE AND CIRCLE IN THE PLANE

by

N. F. DUPUIS

London

Macmillan

1889

HARVARD COLLEGA

may

27, 1892 LIBRARY

arrar fund. .

PREFACE.

The present work is a result of the Author's experience in teaching Geometry to Junior Classes in the University for a series of years. It is not an edition of “ Euclid's Elements," and has in fact little relation to that celebrated ancient work except in the subject matter.

The work differs also from the majority of modern treatises on Geometry in several respects.

The point, the line, and the curve lying in a common plane are taken as the geometric elements of Plane Geometry, and any one of these or any combination of them is defined as a geometric plane figure. Thus a triangle is not the three-cornered portion of the plane inclosed within its sides, but the combination of the three points and three lines forming what are usually termed its vertices and its sides and sides produced.

This mode of considering geometric figures leads

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