# Gradiations in Algebra: In which the First Principles of Analysis are Inductively Explained ...

I. Ashmead, 1839 - 148 σελίδες

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Σελίδα 57 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese...
Σελίδα 139 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 121 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 82 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Σελίδα 45 - A person, at the time he was married, was 3 times as old as his wife ; but after they had lived together 15 years, he was only twice as old ; what were their ages on their wedding day ? Ans.
Σελίδα 80 - Prob. 14. A ship and a boat are descending a river at the same time. The ship passes a certain fort, when the boat is 13 miles below. The ship descends five miles, while the boat descends three. At what distance below the fort will they be together ? Ans.
Σελίδα 100 - There is a certain number, consisting of two digits, the sum of which digits is 5 ; and if 9 be added to the number itself the digits will be inverted ; what is the number?
Σελίδα 79 - Two men commenced trade together ; the first put in \$40 more than the second, and the stock of the first was to that of the second as 5 to 4 ; what was the stock of each ? Ans. \$200, and \$160.
Σελίδα 55 - A post is one-fourth of its length in the mud, one-third in the water, and 10 feet above the water ; what is its whole length ? Ans. 24 feet.
Σελίδα 72 - ... 5, respectively ? Ans. 10 and 2 30. A person in play lost a fourth of his money, and then won back 3s., after which he lost a third of what he now had, and then won back 2s. ; lastly, he lost a seventh of what he then had, and after this found he had but 12s. remaining ; what had he at first ? Ans. 20s.