# Practical Geometry

### 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 SCALE DRAWING III 55 SYMMETRY ABOUT A CENTRE 67
 THE CIRCLE ANGLE PROPERTIES 161 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

 Locr 73 Miscellaneous Exercises I 80 SIMILAR FIGURES 86 Division of straight lines in given ratio 93 the pantograph 99 Area of triangle 105 Area of similar figures 112 Miscellaneous Exercises II 120 THE CIRCLE ARCS 135 THE CIRCLE TANGENTS 146 CONTACT OF CIRCLES COMMON TANGENTS 152
 INDEXLIST OF DEFINITIONS 251 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 Frameworks p 38 Exercises on construction of triangles 43 EXTENSION OF PYTHAGORAS THEOREM In an obtuse 53 The tangent at any point of a circle and the radius 60 If a straight line touch a circle and from the point 66 Congruent triangles 85

### 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.