A Treatise on the Elements of AlgebraR. Watts: and sold by T. Cadell, Strand, London; Deightons, Nicholsons, and Barrett, Cambridge; and Parker, Oxford., 1821 - 227 σελίδες |
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1st equation A=log algebraic quantities ANSW ANSWER antecedent arithmetic arithmetic series binomial coefficient common denominator common difference Complete the square consequently cube root decimal digits divide the number divisor equal EXAM EXAMPLE expressed Extract the square Find the sum Find the value four quantities fourth fraction required geometric progression geometric series given number greatest common measure Hence improper fraction inverted last term least common multiple lesser number logarithm lowest terms means Multiply negative nth power nth root number of terms permutations quadratic equation quadratic surd quan quantities be proportional question quotient ratio of greater ratio of lesser Reduce remainder resulting ratio RULE solution square root subtracted surd quantity THEOR Theorem three numbers tities transposition unknown quantities whole number
Δημοφιλή αποσπάσματα
Σελίδα 107 - Of the four terms of which every proportion consists, the first and last terms are called the extremes, and the second and third the means, of that proportion.
Σελίδα 118 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Σελίδα 216 - Elements of General History, Ancient and Modern. To which are added, a Comparative View of Ancient and Modern Geography, and a Table of Chronology. By ALEXANDER FRASER TYTLER, Lord Woodhouselee, formerly Professor of History in the University of Edinburgh. New Edition, with the History continued. With two large Maps, etc. 3s. 6d. Watts...
Σελίδα 42 - Thus, in the case of 53361 (whose square root is a number consisting of three figures) ; since the square of the figure standing in the hundred's place cannot be found either in the last period...
Σελίδα 113 - Article, — j— = — -=- ; oa bd also - =" — j ac , , a—bb c—dd a—b c- d therefore - x - = — -- x - or = j bade ac or a — b : a :: c — d : c, and inversely, a '. a — b :: c : c — d. This operation is called convertendo. 396. When four quantities are proportionals, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Σελίδα 107 - If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) Thus, if a : b : : c : d, then |=|, and"=^.
Σελίδα 74 - The sum of those digits is 5 ; and if 9 be added to the number itself, the digits will be inverted.
Σελίδα 149 - Multiply the numerator and denominator of the fraction by such a quantity as will make the denominator a complete power, corresponding to the root...
Σελίδα 112 - IF magnitudes, taken separately, be proportionals, they shall also be proportionals when taken jointly, that is, if the first be to the second, as the third to the fourth, the first and second together shall be to the second, as the third and fourth together to the fourth...
Σελίδα 88 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.