College Algebra

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

Contents

 II 9 III 18 ADDITION SUBTRACTION USE OF Parentheses 24 9 35 HIGHEST COMMON FACTOR 59 LOWEST COMMON MULTIPLE 66 SIMPLE EQUATIONS CONTAINING ONE UNKNOWN 85 SIMPLE EQUATIONS CONTAINING TWO OR MORE 98
 INDETERMINATE EQUATIONS OF THE FIRST DEGREE 262 XXVI 268 XXVII 285 XXVIII 295 XXX 305 XXXI 316 THE THEOREM OF UNDETERMINED COEFFI 328 THE BINOMIAL THEOREM FRACTIONAL 344

 DISCUSSION OF SIMPLE EQUATIONS 113 XIV 124 INVOLUTION 130 XVI 136 XVII 164 XVIII 196 EQUATIONS SOLVED LIKE QUADRATICS 239 SIMULTANEOUS EQUATIONS INVOLVING QUAD 246
 XXXIV 352 COMPOUND INTEREST AND ANNUITIES 378 XXXVI 385 THEORY OF EQUATIONS 450 DEMONSTRATION OF THE FUNDAMENTAL 529 CAUCHYS PROOF THAT EVERY EQUA 540 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 38 - Divide the first term of the dividend by the first term of the divisor and write the result as the first term of the quotient.
Page 268 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page 268 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
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 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 269 - If the product of two quantities is equal to thé product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = be.
Page 150 - Multiply the complete divisor by the figure of the root last obtained, and subtract the product from the remainder. If other...
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 279 - One quantity is said to vary inversely as another when the first varies directly as the reciprocal of the second. Thus, the...