Treatise on Algebra

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Harper & Bros., 1864 - Algebra - 503 pages
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Page 25 - 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 173 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 131 - ... two triangles are to each other as the products of their bases by their altitudes.
Page 109 - There will be as many figures in the root as there are periods in the given number.
Page 239 - ... digit ; but if the digits be inverted, and the resulting number be divided by a number greater by unity than the sum of the digits, the quotient is greater by 2 than the preceding quotient : find the number.
Page 237 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately ? Ans. 26, and 38 feet.
Page 172 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Page 37 - Here we must bear in mind that the dividend is always equal to the product of the divisor and quotient...
Page 174 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 187 - The sum of these digits is 5, and if 9 be added to the number itself the digits will be inverted. What is the number ? Ans.

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