An Introduction to Algebra: Being the First Part of A Course of Mathematics, Adapted to the Method of Instruction in the American Colleges

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Durrie & Peck, 1857 - 404 σελίδες

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Σελίδα 218 - ... ratios ; or which will leave the product of the means equal to the product of the extremes.
Σελίδα 35 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 55 - 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.
Σελίδα 217 - If the product of two quantities is equal to the product of two others...
Σελίδα 262 - Divide the greater quantity by the less, and the preceding divisor by the last remainder, till nothing remains ; the last divisor will be the greatest common measure.
Σελίδα 47 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 199 - The finer piece cost £18 ; but the coarser one, which was 2 yards longer than the finer, cost only £16. How many yards were there in each piece ; and what was the price of a yard of each!
Σελίδα 215 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Σελίδα 96 - In any continued geometrical progression, the product of the two extremes is equal to the product of any two means that are equally distant from them, or equal to the square of the middle term when there is an uneven number of terms.
Σελίδα 204 - A compound ratio is the ratio of the products of the corresponding terms of two or more simple ratios. Thus, The...

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