## Elements of Algebra |

### Contents

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### Common terms and phrases

a² b³ ab² algebraic algebraic quantities Arith arithmetic b² c² becomes binomial changing the signs coefficient consequently contains courier cube root deduce denominator denoted divided division double the product enunciation equa evident example exponent extract the root extract the square figures follows formula fraction given in art given number gives greatest common divisor letters logarithm method multiplicand multiplied negative number of arrangements observed obtain operation perfect square performed polynomials preceding article proposed equation proposed number proposed quantity quan question quotient radical quantities radical sign reduced remainder represented resolve result rule given second degree second term simple quantities square root substitute subtract suppose tens tion tities units unity unknown quantity vulgar fractions whence whole numbers

### 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 135 - 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 272 - 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 272 - 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 272 - 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 272 - 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.