Elements of algebra, compiled from Garnier's French translation of L. Euler. To which are added, solutions of several miscellaneous problems1824 |
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Resultat 1-5 av 15
Side 112
... cent . as there are partners . Now if part of his total gain be multiplied by 2 % , the product will give the number of partners . Required the number of partners , and the sum contributed by each . Assume for the number required . Then ...
... cent . as there are partners . Now if part of his total gain be multiplied by 2 % , the product will give the number of partners . Required the number of partners , and the sum contributed by each . Assume for the number required . Then ...
Side 132
... cent . as the horse cost him . Required the price of the horse . ANS . £ 70 . 6. A linendraper bought some pieces of cloth for 180 crowns . If for the same sum he had received 3 pieces more , each piece would have cost three crowns less ...
... cent . as the horse cost him . Required the price of the horse . ANS . £ 70 . 6. A linendraper bought some pieces of cloth for 180 crowns . If for the same sum he had received 3 pieces more , each piece would have cost three crowns less ...
Side 257
... cent . is given . For if it were required to find the interest of the principal P at 5 per cent . simple interest , we have first 100 : 5 :: P : 5 P 100 = .05 × P , the interest for one year , which being found , the interest for n ...
... cent . is given . For if it were required to find the interest of the principal P at 5 per cent . simple interest , we have first 100 : 5 :: P : 5 P 100 = .05 × P , the interest for one year , which being found , the interest for n ...
Side 258
... cent . , we shall have P = M = 989 1 + nr 1 + .05 x 3 = 860 % . From the same equation may be found n or r , any three of the quantities being given . 412. If , when the interest is become due , it be added to the principal , and upon ...
... cent . , we shall have P = M = 989 1 + nr 1 + .05 x 3 = 860 % . From the same equation may be found n or r , any three of the quantities being given . 412. If , when the interest is become due , it be added to the principal , and upon ...
Side 259
... cent . , we have seen that a principal of 201. amounts to 217. at the end of one ycar ; and the same principal will ... cent . But if the interest were reckoned at 6 per cent . , the fraction would be . S 2 414. Ge- 414. Generally ...
... cent . , we have seen that a principal of 201. amounts to 217. at the end of one ycar ; and the same principal will ... cent . But if the interest were reckoned at 6 per cent . , the fraction would be . S 2 414. Ge- 414. Generally ...
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Vanlige uttrykk og setninger
already seen arithmetic means arithmetic series arithmetical progression assume binomial cent CHAP coefficient common difference Completing the square consequently consider contains cube root decimal determine divided dividend divisible equal equation evident example exponent expressed Extracting the root factors find the greatest Find the sum find the values formula four roots fourth term geometric means geometrical progression given number gives greater number greatest common divisor greatest common measure Hence infinite series infinitum instance integer irrational last term less letters logarithm manner method multiplied negative numbers number of permutations number of terms obtain quadratic surds quotient radical sign ratio reduced remainder represented required to find rule second degree second term square root subtracted suppose third degree three numbers tion transposition unity unknown quantity whence whole number
Populære avsnitt
Side 46 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Side 24 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 228 - There are three numbers in geometrical progression ; the sum of the first and second of which is 9, and the sum of the first and third is 15.
Side 36 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Side 248 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Side 58 - We call this new species of numbers, irrational numbers ; they occur whenever we endeavour to find the square root of a number which is not a square. Thus, 2 not being a perfect square, the square root of 2, or the number which, multiplied by itself, would produce 2, is an irrational quantity. These numbers are also called surd quantities, or incommensurables.
Side 243 - Find two numbers, such, that their sum, their product, and the difference of their squares shall be all equal to each other.
Side 77 - any quantity may be transferred from "one side of the equation to the other, by changing its sign ;" and and it is founded upon the axiom, that " if equals be added to " or subtracted from equals, the sums or remainders will be
Side 113 - Ans. 3 and 7 8. The difference of two numbers is 2, and the difference of their cubes is 98; required the numbers. Ans. 5 and 3 9.
Side 37 - If the numerator and denominator are both, multiplied or both divided by the same number, the value of the fraction will not be altered.