# General Mathematics, Book 2

Ginn, 1922 - Mathematics

### Contents

 Converse theorems 86 Synthetic and analytic methods 92 POLYGONS 99 Classification of quadrilaterals 105 Law of parallelogram of forces 114 Inequalities 128 Opposite of a proposition 136 CHAPTER PAGE 138
 AREAS 354 Trapezoidal rule 361 Dependence illustrated geometrically 368 Distance formula 376 CHAPTER PAGE 399 TABLE OF ROOTS AND POWERS 439 Law of sines 383 446 Copyright

### Popular passages

Page 251 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C' with UNEQUAL LINES AND UNEQUAL ANGLES Proof STATEMENTS Apply A A'B'C' to A ABC so that A'B
Page 258 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Page 76 - Two triangles are congruent if two angles and the included side of one triangle are equal, respectively, to two angles and the included side of the other.
Page 113 - There are three important theorems in geometry stating the conditions under which two triangles are congruent: 1. 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 362 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other leg.
Page 326 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 426 - S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Page 39 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.
Page 288 - 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 68 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.