A Shorter Geometry

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Contents

FIRST STAGE
1
Direction
11
SECOND STAGE
22
Parallel Straight Lines
29
Angles of a Polygon
37
130
39
257
42
Congruent Triangles
49
ARCS ANGLES CHORDS
156
1 equal chords are equidistant from the centres
163
CONSTRUCTION To draw the tangent to a circle at a given
169
If two circles touch the point of contact lies
175
If a straight line touch a circle and from
193
AREA OF CIRCLE
202
MISCELLANEOUS EXERCISES
211
PAGE
219

If two angles of a triangle are equal
56
Miscellaneous Exercises
60
Drawing to Scale
66
Воок
75
CONTINUOUS CHANGE OF A FIGURE
86
SUBDIVISION OF A STRAIGHT LINE
96
SYMMETRY
106
Area by counting squaressquared paper
114
AREA OF TRIANGLE
120
Projections
136
MISCELLANEOUS EXERCISES
142
PRELIMINARY
149
CONSTRUCTION To find the fourth proportional to three
225
If in two triangles ABC DEF
230
CONSTRUCTION On a given straight line to construct
232
AREAS OF SIMILAR FIGURES
237
ii If AB CD two chords of a circle
243
ii The external bisector of an angle of
249
lines
262
Straight lines which are parallel to the same
263
If two rightangled triangles have their
272
REVISION PAPERS
278
INDEX AND LIST OF DEFINITIONS
307

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Page xi - 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 ix - 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 xvi - 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.

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