A Treatise on Algebra

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D.F. Finch, 1887 - Algebra - 412 pages
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Page 336 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.
Page 47 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 45 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Page 356 - Three numbers may be in proportion when the first is to the second as the second is to the third.
Page 49 - 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 39 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.
Page 179 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.
Page 159 - Jesus was the author and finisher of the faith; to which nothing can be added, and from which nothing can be taken...
Page 232 - The logarithm of a product is the sum of the logarithms of its factors.
Page 402 - The interior angles of an irregular polygon are in arithmetical progression ; the least angle is 120, and the common difference 5. Find the number of sides.

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