# Algebra for the Use of Colleges and Schools: With Numerous Examples

Macmillan, 1879 - Algebra - 608 pages
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### Contents

 II 7 Multiplication 14 Division 23 Negative Quantities 33 VI 45 VIII 57 Least Common Multiple 72 Simultaneous Equations of the First Degree with two 79
 Permutations and Combinations 286 Binomial Theorem Positive Integral Exponent 298 Binomial Theorem Any Exponent 308 Multinomial Theorem 324 Logarithms 331 Exponential and Logarithmic Series 335 Convergence and Divergence of Series 343 Interest 352

### Popular passages

Page 27 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 29 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
Page 38 - By transposing we mean bringing the unknown quantities (x, y, z, etc.) to one side of the equation, and the known quantities to the other.
Page 5 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page ii - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples. New Edition, revised and enlarged.
Page 198 - The general formula for the number of combinations of n things taken r at a time is C(и,r) = n\ r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 27 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 152 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...