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a b c abº algebraic algebraic characters algebraic quantities Arith arithmetic becomes binomial bº cº changing the signs coefficient consequently courier cube root deduce denominator denoted divided dividend and divisor division double the product employed enunciation equa evident example exponent expression extract the root extract the square figures follows formula fraction francs given in art given number greatest common divisor letters logarithm manner method multiplicand multiplied necessary negative number of arrangements observed obtain operation perfect square polynomials preceding article proposed equation proposed number proposed quantity quan question quotient radical sign reduced remainder represented resolved result second degree second member second term simple quantities square root subtract suppose tens third tion tities units unity unknown quantity vulgar fractions whence whole numbers
Side 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...
Side 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.
Side 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...
Side 30 - ... by itself as many times less one as there are units in the exponent of this power.
Side 274 - 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...
Side 274 - 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 274 - 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.
Side 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.