An Introduction to the Elements of Algebra: Designed for the Use of Those who are Acquainted Only with the First Principles of ArithmeticHilliard and Metcalf, 1821 - 216 Seiten |
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An Introduction to the Elements of Algebra: Designed for the Use of Those ... Professor John Farrar,Leonhard Euler Keine Leseprobe verfügbar - 2016 |
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abcd adding algebra Answer arithmetical progression bers called CHAPTER cloth costs coefficient consequently consider crowns cube root decimal fraction deduce denominator difference divided dividend division ducats ells equal equation evident example exponent express factors find a number florins fourth geometrical geometrical progression given number gives greater number greatest common divisor hundred weight infinite series integer kind known numbers last term lastly less letters liards livres louis manner metical minus multiplied negative numbers number of terms number sought obtain pieces proportion proposed quadratic equation Question quotient ratio reduced relation remains represented required to find resolve rubles rule second degree second term shews sides sous square root subtract Suppose third tion unity unknown quantity whence wherefore whole number ασ
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Seite 132 - Three, then, is based on the principle, that the product of the extremes is equal to the product of the means...
Seite iv - In conformity to the Act of the Congress of the United States, entitled " An Act for the Encouragement of Learning, by securing the Copies of Ma,ps, Charts, and Dooks, to the Authors and Proprietors of such copies, during the times therein mentioned...
Seite iv - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit...
Seite 24 - Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction.
Seite 21 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Seite 172 - If the first cup be covered, it will weigh twice as much as the second, but if the second cup be covered, it will weigh 3 times as much as the first. What is the weight of the second cup and cover ? ANALYSIS.
Seite 5 - Thus when a man has nothing in the world and owes 50 crowns, it is certain that he has 50 crowns less than nothing : for if any one were to make him a present of 50 crowns to pay his debts, he would still be only at the point o, though really richer than before.
Seite 126 - ... as a fraction whose numerator is the antecedent, and whose denominator is the consequent.
Seite 65 - This shews, that we must multiply each term of the upper expression by each term of the lower, and that, with regard to the signs, we must strictly observe the rule before given ; ^.a rule which this would completely confirm, if it admitted of the least doubt.
Seite 66 - The sum of two numbers multiplied by their difference, is equal to the difference of their squares.