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

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Macmillan, 1866 - 553 pages

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Page 511 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Page 55 - If the numerator and denominator be divided by the same number, the value of the fraction is not altered.
Page 512 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Page 319 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 277 - To find the number of permutations of n things taken r at a time. Suppose...
Page 130 - Separate the given number into periods, by pointing every second figure, beginning with the units' place. find the greatest square in the left-hand period, and...
Page 12 - 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 15 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 331 - An infinite series is said to be divergent when the sum of the first n terms can be made numerically greater than any finite quantity by taking n sufficiently great.
Page 83 - В contains 9 gallons of wine and 3 gallons of water ; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water ? 33.

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