A Shorter Geometry

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FIRST STAGE
1
Direction
11
SECOND STAGE
22
117
24
135
26
Parallel Straight Lines
29
Angles of a Polygon
37
118
47
If a straight line touch a circle and from
193
To construct an interior common tangent to two circles
201
MISCELLANEOUS EXERCISES
211
235
212
PAGE
219
CONSTRUCTION To find the fourth proportional to three
225
AREAS OF SIMILAR FIGURES
237
PARALLEL STRAIGHT LINES
259

Congruent Triangles
49
Miscellaneous Exercises
60
Drawing to Scale
66
120
71
BOOK I
75
CONTINUOUS CHANGE OF A FIGURE
86
Area by counting squaressquared paper
90
SUBDIVISION OF A STRAIGHT LINE
96
SYMMETRY
106
AREA OF PARALLELOGRAM
117
AREA OF POLYGON
124
If a triangle and a parallelogram stand
127
Projections
136
MISCELLANEOUS EXERCISES
145
PRELIMINARY
149
ARCS ANGLES CHORDS
156
In equal circles or in the same circle
158
THE TANGENT
166
ANGLES AT A POINT
171
CONTACT OF CIRCLES
174
If the line joining two points subtends
186
ANGLES OF A TRIANGLE A POLYGON
265
INEQUALITIES
273
INDEX AND LIST OF DEFINITIONS
297
PAGE
1
Perpendicular positions of Lines and Planes
11
Skew Straight Lines
20
96
22
sired by half
26
The Prism
25
140
32
The Cylinder
33
169
37
The Pyramid
40
181
43
195
46
The Sphere
48
243
54
The Solid Angle
60
Coordinates in Space
72
MISCELLANEOUS EXERCISES
93
ANSWERS
105

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Página 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.
Página 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.
Página 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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