First Lessons in Algebra: In which the Elements of the Science are Familiarly Explained

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E.C. & J. Biddle, 1856 - Algebra - 135 pages
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Page 41 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 135 - There are three numbers in geometrical progression, whose sum is 14, and the sum of the first and second is to the sum of the second and third as 1 to 2 ; required the numbers. Ans.
Page 122 - The difference between the first and second terms of a proportion is to the second, as the difference between the third and fourth is to the fourth. The given proportion, a : b : : c : d, , ... ac may be written, 6~d...
Page 133 - There are three numbers in arithmetical progression, whose sum is 21 ; and the sum of the first and second is to the sum of the second and third as 3 to 4. Required the numbers! Ans. 5, 7, 9.
Page 90 - C in ten days ; how many days would it take each to perform the same work alone ? Ans.
Page 120 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.
Page 2 - At a meeting of the Controllers of Public Schools, First District of Pennsylvania, held at the CONTROLLERS...
Page 122 - COMPOSITION ; that is, the sum of the first and second, will be to the second, as the sum of the third and fourth, is to the fourth.
Page 70 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.
Page 35 - To reduce fractions to a common denominator. RULE Multiply each numerator by all the denominators, except its own, for a new numerator ; and multiply all the denominators together for a new denominator.

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