The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful Parts of that Science, Illustrated by a Copious Collection of Examples, Designed for the Use of Schools
Kimber and Sharpless, 1826 - Algebra - 166 pages
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Pages à faire: 45, 46, 47, 48, 50, 51, 52, 53, 55, 57, 58, 59 et 63.
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Page 93 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
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 84 - A laborer dug two trenches, one of which was 6 yards longer than the other, for 17 pounds, 16 shillings, and the digging of each of them cost as many shillings per yard as there were yards in its length. What was the length of each ? Ans. 10 and 16 yards.
Page 70 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 32 - Arrange the terms according to the powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the polynomial.
Page 85 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 91 - There are three numbers, the difference of whose differences is 5; their sum is 44, and continued product 1950; find the numbers.
Page 89 - Ans. 15 and 9. 11. What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? Ans. 10 and 2.