New Elementary Algebra

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R.S. Davis & Company, 1866
 

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Page 56 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 183 - Find the greatest square in the first- period on the left, and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.
Page 55 - The product is a2+2a6-}-62; from which it appears, that 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 73 - The LEAST COMMON MULTIPLE of two or more quantities is the least quantity that can be divided by each of them without a remainder.
Page 281 - 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...
Page 281 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.
Page 182 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 53 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 310 - The mean proportional between two quantities is equal to the square root of their product.
Page 48 - From the preceding examples and illustrations we have, for dividing one monomial by another, the following RULE. Divide the numerical coefficient of the dividend by that of the divisor, and to the result annex the literal factors of the dividend which are not found in the divisor.

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