A Shorter Geometry

Front Cover
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Contents

Surface
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
Ratio and proportion
219
SIMILAR FIGURES
226
CONSTRUCTION On a given straight line to construct
232
BC
233
RECTANGLE PROPERTIES
240
CONSTRUCTION To describe a square equivalent to a given
246
Playfairs Axiom
261
ANGLES OF A TRIANGLE A POLYGON
265

TABLE OF FACTS OR THEOREMS
75
Book I
84
Area by counting squaressquared paper
90
COR If equal perpendiculars are erected on the same
94
AREA OF PARALLELOGRAM
117
CONSTRUCTION To construct a triangle equivalent to
124
THE THEOREM OF PYTHAGORAS
128
Projections
136
MISCELLANEOUS EXERCISES
145
PAGE
149
CONSTRUCTION To circumscribe a circle about a given
155
THE TANGENT
166
CONSTRUCTION To inscribe a circle in a given triangle
172
4
173
ANGLE PROPERTIES
179
11
186
If a straight line touch a circle and from
193
Common tangents to two circles
199
FURTHER EXAMPLES OF LOCI
205
MISCELLANEOUS EXERCISES
211
INEQUALITIES
273
23
286
INDEX AND LIST OF DEFINITIONS
297
29
298
I
1
40
13
79
19
98
23
VII
27
124
28
The Cylinder
33
184
44
224
50
233
51
246
57
257
58
266
60
Coordinates in Space
72
Perspective
89

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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 xxi - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
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.

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