An Introduction to the Elements of Algebra: Designed for the Use of Those who are Acquainted Only with the First Principles of Arithmetic

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Hilliard and Metcalf, 1821 - 216 σελίδες

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Σελίδα 132 - Three, then, is based on the principle, that the product of the extremes is equal to the product of the means...
Σελίδα 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...
Σελίδα 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...
Σελίδα 24 - Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction.
Σελίδα 21 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Σελίδα 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.
Σελίδα 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.
Σελίδα 126 - ... as a fraction whose numerator is the antecedent, and whose denominator is the consequent.
Σελίδα 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.
Σελίδα 66 - The sum of two numbers multiplied by their difference, is equal to the difference of their squares.

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