An Introduction to Algebra: With Notes and Observations; Designed for the Use of Schools and Places of Public Education |
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An Introduction to Algebra; With Notes and Observations: Designed for the ... John Bonnycastle No preview available - 2017 |
Common terms and phrases
affigned affirmative alſo anſwering arife becauſe co-efficient common denominator completing the square cube numbers cube root cubic equation decimal Diophantus dividend divifor equal EXAMPLES fame fecond term fide fimple equation fince find the fum find the value find three numbers find two numbers find x firſt fome fquare numbers fquare root fraction fubftituted fubtracted fum fhall fuppofe furd geometrical feries geometrical progreffion given equation given number greateſt impoffible improper fraction increaſe infinite feries laft term laſt leaft lefs Let the number logarithm moidores moſt multiplied muſt natural numbers negative number of terms number required pofitive PROBLEM propoſed publiſhed quadratic equation queſtion quotient Reduce remainder Required the difference Required the fquare Required the fum Required the product required to find root required RULE ſeries ſhall ſquare ſum sum required surd thefe theſe thofe thoſe unknown quantity uſe Whence whole numbers whoſe
Popular passages
Page 86 - 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 84 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Page 85 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Page 85 - ... and the chaise to twice the price of the horse and harness ; what did he give for each ? Ans. 13/.
Page 34 - Note. The whole number of terms will be one more than the index of the given power ; and when both terms of the root are +, all the terms of the power will be...
Page 198 - Multiply the log. thus found, by the index of the power proposed. -Find the number answering to the product, and it will be the power required. Note. In multiplying a logarithm with a negative index, by an affirmative number, the product will be negative. But what is to be carried from the decimal part of the logarithm, will always be affirmative.
Page 84 - A post is I in the mud, ~ in the water, and 10 feet above the water : what is its whole length ? Ans. 24 feet.