## Elements of Algebra |

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### Contents

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### Common terms and phrases

according added admit algebraic already answers applied arising arithmetic arrangements becomes called coefficient common divisor consequently considered consists contains corresponding courier cube deduce denominator denoted determine divided dividend division divisor double employed enunciation equal equation evident example exponent expression extract factors figures follows formula four fourth fraction francs given gives greater greatest indicated involving known less letters logarithm manner means method multiplicand multiplied necessary negative observed obtain operation particular passed performed positive preceding present problem proposed proposed equation question quotient reduced reference regarded remainder render represented resolve respect result root rule second term solution sought square square root substitute subtract successively suppose taken tens term third tion units unity unknown quantity whence whole write zero

### Popular passages

Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 44 - 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.

Page 122 - Therefore, in the third and fourth forms, when q is greater than p2, that is, when the known term is negative, and greater than the square of half the coefficient of the first power of x, both values of the unknown quantity are impossible.

Page 133 - Adding to the trial-divisor 3 ab, that is, three times the product of the first term of the root by the second, and...

Page 30 - ... by itself as many times less one as there are units in the exponent of this power.

Page 266 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Page 266 - 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 266 - There is a fish whoso tail weighs 9 pounds, his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish ? Ans.

Page ii - An act supplementary to an act, entitled, * An act for the encouragement of learning, by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned,* and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.

Page 266 - A man has a lease for 99 years ; and being asked how much of it was already expired, answered, that two thirds of the time past was equal to four fifths of the time to come. Required the time past, and the time to come.