# The Inductive Algebra: Embracing a Complete Course for Schools and Academies

Van Antwerp, Bragg, 1881 - Algebra - 347 pages

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### Contents

 Algebraic Processes 7 Preliminary Definitions 13 Addition 19 Subtraction 26 Multiplication 40 Division 54 Review Exercises 66
 Common Divisors 80 Common Multiples 87 Involution 167 Evolution 176 Radical Quantities 195 Quadratic Equations 223 Progressions 267

### Popular passages

Page 60 - 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 182 - Then divide the first term of the remainder by the first term of the divisor...
Page 113 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 182 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Page 186 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 189 - Tlie result will be the complete divisor. Multiply the complete divisor by the last term of the root found, and subtract this product from the dividend.
Page 256 - That is, in any proportion either extreme ' is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean.
Page 52 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second.
Page 46 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 137 - A sum of money was divided between two persons, A and B, so that the share...