## An Introduction to Algebra: With Notes and Observations; Designed for the Use of Schools and Places of Public Education |

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### Vanlige uttrykk og setninger

affirmative alſo Anº Anſ anſwer ariſe arithmetical becauſe caſe co-efficient completing the square conſequently cube numbers cube root cubic equation dimenſions Diophantus divided diviſion diviſor equal EXAMPLES figns fimple equation find the leaſt find the ſum find the value find three numbers find three ſquare find two numbers firſt term fraćtion geometrical progreſſion geometrical ſeries given equation given number impoſſible increaſe infinite ſeries inſtead laſt term leſs logarithm moidores moſt fimple terms multiplied muſt natural numbers negative number of terms number required obſerved perſon poſitive PROBLEM produćt propoſed quadratic equation queſtion quotient Reduce remainder Required the ſquare Required the ſum required to find reſpectively reſult root required RULE ſame ſecond term ſeveral ſhall ſhare ſide ſigns ſimple terms ſince ſome ſquare numbers ſquare root ſubſtituted ſubtracted ſum ſhall ſuppoſe ſurd theſe thoſe unknown quantity uſe Whence whole numbers whoſe

### Populære avsnitt

Side 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.

Side 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.

Side 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.

Side 85 - ... and the chaise to twice the price of the horse and harness ; what did he give for each ? Ans. 13/.

Side 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...

Side 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.

Side 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.