# Algebra for the Use of Colleges and Schools: With Numerous Examples (Google eBook)

Macmillan, 1879 - Algebra - 608 pages

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Page 69 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 73 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
Page vi - RESEARCHES IN THE CALCULUS OF VARIATIONS, principally on the Theory of Discontinuous Solutions: an Essay to which the Adams' Prize was awarded in the University of Cambridge in 1871.
Page 86 - 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 26 - 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 x - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples. New Edition, revised and enlarged.
Page 300 - 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 71 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 248 - 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...