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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 80 37 86 43 PRACTICAL CONSTRUCTIONS 48
 CONTACT OF CIRCLES COMMON TANGENTS 152 THE CIRCLE ANGLE PROPERTIES 161 73 171 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

 32 54 SCALE DRAWING III 55 88 60 CONTINUOUS CHANGE OF A FIGURE 71 The locus of points equidistant from two intersecting straight lines 76 33 78 SIMILAR FIGURES 86 38 95 Similar polygons 97 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
 THE SPHERE 220 THE REGULAR SOLIDS 226 Revision Papers 234 INDEXLIST OF DEFINITIONS 251 Introductory note 1 1 Playfairs axiom 7 7 i The opposite angles of a parallelogram are equal 21 21 Of all the straight lines that can be drawn to 28 SECTION 47 EXTENSION OF PYTHAGORAS THEOREY 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

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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.