Elementary Geometry Plane

Front Cover
CUP Archive, Jun 24, 2015 - Mathematics - 377 pages
1 Review
Reviews aren't verified, but Google checks for and removes fake content when it's identified
Excerpt from Elementary Geometry Plane

This text-book aims to carry out the spirit of the admirable suggestions made by the Committee on Secondary School studies, appointed by the National Educational Association. While the book speaks for itself, some of its leading features may here be pointed out.

(1) It aims at a combination of Euclidean rigor with modern methods of presentation suitable for beginners in the study of demonstrative geometry; but the rigor is not regarded as consisting so much in excessive formality of expression as in soundness of structural development.

(2) It regards the postulates as a body of fundamental conventions that constitute a definition of Euclidean space, from which (with the definitions of particular figures) other properties of such space are to be unfolded by a series of logical steps.

(3) It regards the postulates of construction as determining or defining the province of elementary as distinguished from higher geometry. Accordingly no hypothetical figure is made the basis of an argument until its construction has been proved to be reducible to the construction postulates; and thus problems, no less than theorems, have their place in the logical development of the subject.

(4) The theorems and problems are arranged in natural groups and subgroups with reference to their underlying principle, thus exhibiting the gradual unfolding of the space relations.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
 

What people are saying - Write a review

Reviews aren't verified, but Google checks for and removes fake content when it's identified
User Review - Flag as inappropriate

you could make it better if you should a videoof it in action

Contents

Angles
7
Regular polygons
17
Pyramidsthe Tetrahedron
26
Parallels and perpendiculars
35
Note
39
Cube cuboid prism wedge
42
Heights and distances
48
Points lines surfaces solids
55
CONSTRUCTIONS
103
MISCELLANEOUS EXERCISES
115
If two angles of a triangle are unequal
122
third side has the greater included angle
128
a The straight line drawn through
141
The locus of a point which is equidistant
147
MISCELLANEOUS EXERCISES
154
AREA OF PARALLELOGRAM
167

THEORETICAL GEOMETRY
63
If the sum of two adjacent angles is equal
67
then the two straight lines are parallel
71
Straight lines which are parallel to the same
77
ANGLES OF A TRIANGLE A POLYGON
80
If two angles of a triangle are equal
96
AREA OF POLYGON
178
If a triangle and a parallelogram stand
185
MISCELLANEOUS EXERCISES ON AREA
186
ILLUSTRATIONS
201
Projections
210
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page xiv - If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.

Bibliographic information