# College Algebra

D.C. Heath & Company, 1890 - Algebra - 577 pages

### Contents

 DEFINITIONS AND NOTATION 1 II 9 III 18 ADDITION SUBTRACTION USE OF PARENTHESES 24 FORMULE 41 VII 50 HIGHEST COMMON FACTOR 59 IX 66
 PROBLEMS INVOLVING QUADRATIC EQUATIONS 234 XXIII 246 INDETERMINATE EQUATIONS OF THE FIRST DEGREE 262 XXVII 268 XXVIII 295 XXIX 305 XXXI 316 THE BINOMIAL THEOREM FRACTIONAL 344

 XI 85 XII 98 DISCUSSION OF SIMPLE EQUATIONS 113 INEQUALITIES 124 INVOLUTION 130 XVI 136 XVII 164 XVIII 196 QUADRATIC EQUATIONS 203 THEORY OF QUADRATIC EQUATIONS 221
 XXXIV 352 COMPOUND INTEREST AND ANNUITIES 378 XXXVI 385 PROBABILITY CHANCE 393 CONTINUED FRACTIONS 407 DEMONSTRATION OF THE FUNDAMENTAL 529 CAUCHYS PROOF THAT EVERY EQUA 540 ANSWERS TO THE EXAMPLES 10 Copyright

### Popular passages

Page 41 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 270 - In any proportion the terms are in proportion by Composition; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Page 271 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 269 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Page 268 - The terms of a ratio are the two numbers to be compared; thus, in the above ratio, 20 and 4 are the terms. When both terms are considered together, they are called a couplet ; when considered separately, the first term is called the antecedent, and the second term the consequent. Thus, in the ratio 20 : 4, 20 and 4 form a couplet, and 20 is the antecedent, and 4 the consequent.
Page 140 - ... from the given expression. Divide the first term of the remainder by twice the first term of the root, and add the quotient to the root and also to the divisor.
Page 137 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Page 38 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Page 79 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 270 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.