An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of Advanced Arithmetic, Based on the Algebraic Equation

Macmillan, 1897 - Arithmetic - 151 pages

Contents

 CHAPTER 1 AXIOMS 7 CHAPTER II 15 DIVISION 27 PERCENTAGE FORMULAS 37 PROFIT AND Loss 38 COMMERCIAL DISCOUNT 46 DUTIES 52
 CHAPTER IV 84 COMPOUND PROPORTION 92 AVERAGE OF PAYMENTS 99 THE SQUARE OF THE SUM OF TWO NUMBERS 103 THE CUBE OF THE SUM OF TWO NUMBERS 110 CHAPTER VII 117 SIMILAR PLANE FIGURES 131 THE SPHERE 139

 ACCURATE INTEREST 62 PRESENT WORTH AND TRUE DISCOUNT 70 COMPOUND INTEREST 76

Popular passages

Page 62 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 139 - SPHERE is a solid, or volume, bounded by a curved surface, all points of which are equally distant from a point within, called the centre.
Page 121 - A B A triangle with a right angle is called a right triangle. The side opposite the right angle in a right triangle is called the hypotenuse of the right triangle.
Page 104 - ... the square of the second. Illustrate by a numerical example. SUQ. Denote the two numbers by a and 5. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 81 - THE UNITED STATES RULE. Find the amount of the principal to the time when the payment, or the sum of the payments, equals or exceeds the interest due.
Page 123 - A room is 20 ft. long, 16 ft. wide, and 12 ft high. What is the distance from one of the lower corners to the opposite upper corner?
Page 20 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 120 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.
Page 120 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.