# Modern Junior Mathematics, Book 3

Gregg, 1920 - Mathematics
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### Contents

 MEANING OF THE SIMPLE EQUATION 72 DIVISION OF SIGNED NUMBERS 85 Practice Exercises 92 B PARENTHESES WITHOUT COEFFICIENTS 99 Practice Exercises 106 Signs of Fractions 112 CHAPTER SEVEN 117 Volume of Rectangular Solid 118 CHAPTER EIGHT 124 CHAPTER NINE 138 PREPARATION FOR THE THIRD METHOD OF SOLVING A QUAD 142 2x² 3x 9 149 G PROBLEMS IN QUADRATIC EQUATIONS 155 RATIOS IN RIGHT TRIANGLES 165 RATIO OF THE SIDE OPPOSITE AN ACUTE ANGLE TO 174 RATIO OF THE SIDE ADJACENT TO AN ACUTE ANGLE TO 178 39 184 CHAPTER TWELVE 189 CHAPTER THIRTEEN 201 CHAPTER FOURTEEN 208 Hippocrates of Chios 209
 Demonstration 220 Exercises 221 Construction Lines in Proofs 222 Demonstration 223 Exercises 224 Experiments 226 Demonstration 227 Exercises 228 Demonstration 229 Demonstration 230 Exercises 231 Assumptions Concerning Parallels III Experiments 232 Demonstration 233 Exercises 234 CHAPTER 235 APPENDIX A OTHER CURVES OF QUADRATIC EQUATIONS IN TWO UNKNOWNS 239 The Hyperbola Cutting the XAxis 240 The Hyperbola in Opposite Quadrants 241 B TABLE OF POWERS AND ROOTS 243 A DRAWING GEOMETRIC FIGURES TO REPRESENT ALGEBRAIC 245 Copyright

### Popular passages

Page 220 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.
Page 217 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 229 - Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other.
Page 228 - A line drawn from the vertex of an isosceles triangle to the middle of the base, is perpendicular to, the base.
Page 216 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Page 223 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 219 - Two right triangles are equal if the two legs of one are equal respectively to the two legs of the other. Given : Rt. A ABC and DEF ; AC = DF; CB = FE. A n . To Prove : A ABC = A DEF.
Page 224 - Prove that the bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it.
Page 224 - The bisector of the vertex angle of an isosceles triangle is perpendicular to the base.
Page 137 - ... more cases of diphtheria and treat 10 of them successfully, he will have treated f of his cases successfully. But if he should have 32 more cases and succeed with 30 of them, he will have succeeded with | of his cases. How many cases has he had so far and how many has he treated successfully? 41. If 1 be added to the numerator of a certain fraction, the value of the fraction becomes f ; but if 1 be subtracted from its denominator, the value of the fraction becomes |. Find the fraction.