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### Contents

 Direction axiom 2 Equality axioms 12 Polygons 46 Angles and arcs 54 Triangles and circles 64 Area 71 Medians 83 Squares on the sides of triangles 91
 CHAPTER X 188 CHAPTER XI 205 Cylinders 217 ix 225 Surface of a sphere 227 Areas of similar surfaces 234 Volume of a pyramid 241 Triangles 245

 Metrical relations of parts of a triangle 99 CHAPTER VIII 117 Limit axioms 124 Area of a circle 131 PROBLEMS 137 Intersections of planes 175
 Volume of a sphere 249 The parabola 254 Area of a parabola 262 Area of an ellipse 271 Particular cases 281 Copyright

### Popular passages

Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.
Page 17 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 172 - Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.