Bradbury's Elementary Algebra: Designed for the Use of High Schools and Academies
Thompson, Brown, & Company, 1877 - Algebra - 269 pages
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Page 10 - The Solution of a Problem in Algebra consists, — 1st. In reducing the statement to the form of an equation ; 2d. In reducing the equation so as to find the value of the unknown quantities. EXAMPLES FOR PRACTICE. 1. The sum of the ages of a father and his son is 60 years, and the age of the father is double that of the son ; what is the age of each...
Page 44 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Page 87 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. The...
Page 205 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 249 - B had during the whole time; and at the same rate as before B would reach Springfield in 5f days. How far from Boston did they meet? Ans. 42 miles. 163. The product of two numbers is 90 ; and the difference of their cubes is to the cube of their difference as 13 : 3. What are the numbers ? 164. A and B start together from the same place and travel in the same direction. A travels the first day 25 kilometers, the second 22, and so on, travelling each day 3 kilometers less than on the preceding day,...
Page 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.
Page 140 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend.
Page 40 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 210 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Page 216 - RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. EXAMPLES. 2. A certain school consists of 19 teachers and scholars, whose ages form an arithmetical series ; the youngest is 3 years old, and the oldest 39.