First Principles of Algebra: Elementary Course

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Allyn and Bacon, 1912 - Algebra - 280 pages
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Page 253 - A and B working together can do a piece of work in 12 days.
Page 239 - 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 238 - In any proportion, the product of the means equals the product of the extremes.
Page 172 - If squares are constructed on the two sides, and also on the hypotenuse of a right-angled triangle, then the sum of the squares on the sides is equal to the square on the hypotenuse.
Page 56 - ... expression composed of parts connected by the signs + and — is called a polynomial. Each of the parts thus connected, together with the sign preceding it, is called a term.
Page 74 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 26 - A term may be transposed from one member of an equation to the other by changing its sign.
Page 176 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.
Page 274 - What is the speed of the steamer in still water ? 8. Find the time between 4 and 5 o'clock when the hands of the clock are 30 minute spaces apart. 9. A man takes, out a life insurance policy for which he pays in a single payment. Thirteen years later he dies and the company pays S 12,600 to his estate.
Page 150 - Divide the first term of this remainder by the first term of the divisor, obtaining the second term of the quotient. Multiply the divisor by the second term of the quotient and subtract, obtaining a second remainder. 5. Continue in this manner until...

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