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### Contenido

 FIRST STAGE 1 Direction 11 SECOND STAGE 22 Parallel Straight Lines 29 Angles of a Polygon 37 130 39 Congruent Triangles 49 Miscellaneous Exercises 60
 THE TANGENT 166 ANGLES AT A POINT 171 CONTACT OF CIRCLES 174 lateral are supplementary its vertices are concyclic 189 MISCELLANEOUS EXERCISES 195 AREA OF CIRCLE 202 MISCELLANEOUS EXERCISES 211 235 212

 Drawing to Scale 66 Воок 75 CONTINUOUS CHANGE OF A FIGURE 86 SUBDIVISION OF A STRAIGHT LINE 96 SYMMETRY 106 Area by counting squaressquared paper 114 AREA OF TRIANGLE 120 Projections 136 PRELIMINARY 149 ARCS ANGLES CHORDS 156
 PAGE 219 CONSTRUCTION To find the fourth proportional to three 225 THEOREMA Tf in tuntuin 233 RECTANGLE PROPERTIES 240 MISCELLANEOUS EXERCISES 251 If a straight line stands on another straight 257 ANGLES OF A TRIANGLE A POLYGON 265 If two triangles have the three sides of 270 REVISION PAPERS 278 INDEX AND LIST OF DEFINITIONS 307

### Pasajes populares

Página xi - In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.
Página ix - The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.
Página xvi - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.