Practical Geometry

Front Cover
CUP Archive, 1860 - 147 pages
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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
equal the triangles are congruent
44
32
54
SCALE DRAWING III
55
THE CIRCLE ANGLE PROPERTIES
161
AREA OF CIRCLE
175
Miscellaneous Exercises III
183
SOLIDS OF UNIFORM CROSS
197
THE CONE
208
Plane and line at right angles p 212 Line inclined to plane
214
THE SPHERE
220
THE REGULAR SOLIDS
226

Kite rhombus
65
CONTINUOUS CHANGE OF A FIGURE
71
the two given lines
76
33
78
SIMILAR FIGURES
86
triangles are similar
92
the pantograph
99
Area of similar figures The ratio of the areas of similar figures is equal to the square of the
112
Miscellaneous Exercises II
120
TAE CIRCLE ARCS
135
THE CIRCLE TANGENTS
146
CONTACT OF CIRCLES COMMON TANGENTS
152
Revision Papers
234
INDEXLIST OF DEFINITIONS
251
THEOREMS
ANGLES AT A POINT
2
If a straight line cuts two parallel straight lines
8
i The opposite angles of a parallelogram are equal 21
21
Of all the straight lines that can be drawn to
28
EXTENSION OF PYTHAGORAS THEOREM In an obtuse
53
ii Conversely chords that are equidistant from the centres
59
The tangent at any point of a circle and the radius
60
If a straight line touch a circle and from the point
66

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Popular passages

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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