### Contents

 Supplementary Exercises 69 Quadrilaterals 75 Special Quadrilaterals 84 Supplementary Exercises 94 Fundamental Tests of Inequality 100 Supplementary Exercises 106 Introductory 108 Tangents 114 Supplementary Exercises 120 Relation between Inscribed Angles and Their Arcs 126 Relation between Angles Formed by Tangents and Chords 135 Loci 143 Determination of Points by the Intersection of Loci 152 Ratio and Proportion 161 Ratios of Segments Made by Parallels 168 Similar Triangles 176
 37 231 Similarity 240 Summary and Supplementary Exercises 248 Definition 252 Properties of Regular Polygons 259 48 269 Areas of Circles Sectors and Segments 275 Maxima and Minima 284 Regular Polygons 290 50 295 Tables 298 75 302 Index 309 106 314 Copyright

### Popular passages

Page 298 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 183 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.
Page 185 - If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle: 1st.
Page 243 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 180 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 298 - LENGTH 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards = 1 rod (rd.) 320 rods = 1 mile (mi.) 1 mile = 1,760 yd.
Page 190 - If two right triangles have an acute angle of one equal to an acute angle of the other, the right triangles are similar.
Page 103 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 184 - The bisector of an exterior angle of a triangle divides the opposite side externally into segments which are proportional to the other two sides. D "'"A
Page 186 - The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: a2 + b2 = c2.