Practical Geometry

Front Cover
 

Contents

MEASUREMENT OF LINES AND ANGLES
1
SCALE DRAWING I not requiring the use of parallels
13
Parallel Straight Lines
20
ANGLES OF A TRIANGLE OF A POLYGON
30
CONSTRUCTION OF TRIANGLES AND POLYGONS
36
PRACTICAL CONSTRUCTIONS
48
36
54
SCALE DRAWING III
55
AREA OF CIRCLE
175
Miscellaneous Exercises III
183
SOLIDS OF UNIFORM CROSS
197
THE CONE
208
THE SPHERE
220
THE REGULAR SOLIDS
226
Revision Papers B
234
INDEXLIST OF DEFINITIONS
251

44
62
CONTINUOUS CHANGE OF A FIGURE
71
Miscellaneous Exercises I
80
SIMILAR FIGURES
86
If two triangles have one angle of the one equal to one angle of
92
the pantograph
99
Area of triangle
105
Area of similar figures
112
69
113
Miscellaneous Exercises II
120
THE CIRCLE ARCS
135
THE CIRCLE TANGENTS
146
CONTACT OF CIRCLES COMMON TANGENTS
152
THE CIRCLE ANGLE PROPERTIES
161
Introductory note 1
1
Playfairs axiom 7
7
i The opposite angles of a parallelogram are equal
21
Of all the straight lines that can be drawn to
28
FX 25
37
29
38
Frameworks p 38 Exercises on construction of triangles
43
EXTENSION OF PYTHAGORAS THEOREM In an obtuse
53
i equal chords are equidistant from the centres
59
The tangent at any point of a circle and the radius
60
73
65
If a straight line touch a circle and from the point
66
Congruent triangles
85

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Page xii - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.

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