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### Contents

 Rotation axiom 4 Equality axioms 12 Parallels 21 Construction of triangles 28 CHAPTER III 35 Quadrilaterals and quadrangles 42 Polygons 46 Angles and arcs 54
 Limit axioms 124 Area of a circle 131 PROBLEMS 137 Intersections of planes 177 CHAPTER X 188 CHAPTER XI 205 Prisms 215 Surface of a sphere 225

 Triangles and circles 64 Area 71 Medians 83 Squares on the sides of triangles 91 Metrical relations of parts of a triangle 99 CHAPTER VIII 117
 CHAPTER XIII 236 Volume of a pyramid 245 Volumes of similar figures 251 Area of a parabola 262 Area of an ellipse 271 Particular cases 281

### 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 293 - SUITABLE FOR USE IN PREPARATORY SCHOOLS. SELECTED FROM THE LISTS OF THE MACMILLAN COMPANY, Publishers. ARITHMETIC FOR SCHOOLS. By JB LOCK, Author of " Trigonometry for Beginners" "Elementary Trigonometry" etc Edited and Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math.
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.
Page 172 - Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the x- and z-axes equals 4.
Page 100 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.