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

Howe & Deforest, 1814 - Algebra - 303 pages

### Popular passages

Page 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Page 188 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Page 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Page 227 - 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.
Page 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Page 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Page 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Page 187 - 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.
Page 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Page 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...