A Treatise on Algebra: For the Use of Schools and CollegesSanborn & Carter, 1861 - 336 σελίδες |
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Δημοφιλή αποσπάσματα
Σελίδα 93 - 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.
Σελίδα 11 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Σελίδα 57 - 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. A 14ff days, B 17ff, and C 23J y . 21.
Σελίδα 87 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 160 - Therefore, dx.—cy. 10. There are two numbers whose product is 135, and the difference of their squares, is to the square of their difference, as 4 to 1. What are the numbers ? Ans. 15 and 9.
Σελίδα 30 - 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.
Σελίδα 113 - CD, and on meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15$ days, but B would have been 28 days in performing A's journey. What was the distance between C and D ? Ans.
Σελίδα 87 - To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed.
Σελίδα 183 - ... number by the exponent of the power, to which it is to be raised; the number in the table corresponding to this product, will be the power sought.