# Practical Geometry

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

### 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.