A Shorter Geometry

Front Cover
CUP Archive
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

FIRST STAGE
1
Direction
11
SECOND STAGE
22
Parallel Straight Lines
29
Angles of a Polygon
37
Congruent Triangles
49
Miscellaneous Exercises
60
Drawing to Scale
66
Construction To circumscribe a circle about a given
155
The Tangent
166
Angles at a point
171
Construction To inscribe a circle in a given triangle
172
Angle properties
179
Miscellaneous exercises
195
Area of circle
202
Miscellaneous exercises
211

Table of facts or theorems
75
Continuous change of a figure
86
Construction To draw a straight line parallel to a given
95
The locus of a point which is equidistant
102
Area by counting squaressquared paper
114
Area op triangle
120
The theorem op Pythagoras
128
Projections
136
A a + bk ak + bk
142
PAGE
149
Ratio and proportion
219
If H K are points in the sides AB AC of
226
Proportional compasses
236
ii If AB CD two chords of a circle
243
ii The external bisector of an angle of
249
If a straight line stands on another straight
257
those straight lines is equal or supplementary to
264
Inequalities
273
Index and List of Definitions
307

Other editions - View all

Common terms and phrases

Popular passages

Page xiii - In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.
Page xi - The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.
Page xviii - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.

Bibliographic information