Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα ix
... factors of the first degree ib . Method of deducing from this product the developement of any power of a binomial - 156 Theory of permutations and combinations b 157 Rule for the developement of any power whatever of a binomial 161 ...
... factors of the first degree ib . Method of deducing from this product the developement of any power of a binomial - 156 Theory of permutations and combinations b 157 Rule for the developement of any power whatever of a binomial 161 ...
Σελίδα x
... Factors of the equation xm General law for the number of roots of an equation , and the dis- tinction between ... factor that is without it Multiplication and division of certain radical quantities Remarks on peculiar cases which occur ...
... Factors of the equation xm General law for the number of roots of an equation , and the dis- tinction between ... factor that is without it Multiplication and division of certain radical quantities Remarks on peculiar cases which occur ...
Σελίδα xi
... factors 201 The number of divisors of the first degree , which any equation can have 202 An equation composed of simple factors ib . Formation of its coefficients ib . How far an equation may have factors of any given degree - 203 ib ...
... factors 201 The number of divisors of the first degree , which any equation can have 202 An equation composed of simple factors ib . Formation of its coefficients ib . How far an equation may have factors of any given degree - 203 ib ...
Σελίδα xii
... factors of the second and higher de- grees 230 Of the Resolution of Numerical Equations by Approximation 231 Principle on which the method of finding roots by approxima- tion depends Note on the changes of the value of polynomials ...
... factors of the second and higher de- grees 230 Of the Resolution of Numerical Equations by Approximation 231 Principle on which the method of finding roots by approxima- tion depends Note on the changes of the value of polynomials ...
Σελίδα 14
... factors , one of which shall contain only known quantities , and the other shall be the unknown quantity by itself ... factors , 15 and x ; we have then the unknown factor x by dividing the number 32 , 14 Elements of Algebra .
... factors , one of which shall contain only known quantities , and the other shall be the unknown quantity by itself ... factors , 15 and x ; we have then the unknown factor x by dividing the number 32 , 14 Elements of Algebra .
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Συχνά εμφανιζόμενοι όροι και φράσεις
ac² algebraic algebraic quantities Arith arithmetic becomes binomial changing the signs coefficient consequently contains courier cube root deduce denominator denoted divided dividend and divisor division enunciation equa equal to zero evident example exponent extract the root factors fifth power figures follows formula fraction given in art given number gives greatest common divisor letters logarithm manner method multiplicand multiplied negative number of arrangements observed obtain operation polynomials proposed equation proposed number proposed quantity quan question quotient radical quantities radical sign reduced remainder represented resolved result rule given second degree second member second term simple quantities square root subtract suppose tens third tion tities units unity unknown quantity whence whole numbers
Δημοφιλή αποσπάσματα
Σελίδα ii - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 249 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Σελίδα 33 - RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus.
Σελίδα ii - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof...
Σελίδα 296 - 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...
Σελίδα 30 - ... by itself as many times less one as there are units in the exponent of this power.
Σελίδα 116 - On the contrary, the square root of a number, which is not a perfect square, is...
Σελίδα 165 - Therefore, the cube of a number containing two figures, consists of, The cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units.
Σελίδα 296 - 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.
Σελίδα 271 - From what has preceded, we perceive that the value of a fraction is the quotient arising from the division of the numerator by the denominator, or from the expression of this division.