### Contents

 PRELIMINARY COURSE 1 THE ANGLE 14 TRIANGLES 28 PART II 53 CONGRUENCE 61 RECTILINEAR FIGURES 69 CONSTRUCTIONS 84 PARALLEL LINES 94
 CO�RDINATES 177 AREA 193 AREAS OF SIMPLE FIGURES 199 TRANSFORMATIONS 210 PROPORTIONAL MAGNITUDES 231 SIMILAR POLYGONS INTRODUCTION 236 SIMILAR TRIANGLES 244 TRIGONOMETRIC RATIOS 259

 ANGLESUM 102 PARALLELOGRAMS 111 THE TRANSVERSAL THEOREM TRAPEZOIDS 119 COLLINEARITY AND CONCURRENCE 134 PAGE 143 TANGENTS 153 Two CIRCLES 159 Loci 171
 CIRCLES AND PROPORTIONAL LINES 265 SIMILAR POLYGONS 271 REGULAR POLYGONS AND CIRCLES 285 THEOREMS 293 AREA OF A CIRCLE PRELIMINARY DISCUSSION 305 MISCELLANEOUS EXERCISES 319 INDEX 327

### Popular passages

Page 247 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Page 79 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 293 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 207 - If two triangles have an angle of one equal to an angle of the other, and...
Page 151 - In the same circle, or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.
Page 131 - ... the third side of the first is greater than the third side of the second.
Page 257 - If two chords intersect within a circle, the product of the segments of one chord is equal to the product of the segments of the other.
Page 105 - A line drawn from the vertex of the right angle of a right triangle to the middle point of the hypotenuse divides the triangle into two isosceles triangles.
Page 138 - The medians of a triangle meet in a point which is two thirds of the distance from each vertex to the middle of the opposite side.
Page 119 - If three or more parallels intercept equal parts on one transversal, they intercept equal parts on every transversal. Given the parallels AB, CD, and EF intercepting equal parts on the transversal MN.