Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα vi
... dividend and divisor Example Examples in multiplication of compound quantities Examples in division of compound quantities Of Algebraic Fractions · To abridge an expression when the algebraic division cannot be performed The greatest ...
... dividend and divisor Example Examples in multiplication of compound quantities Examples in division of compound quantities Of Algebraic Fractions · To abridge an expression when the algebraic division cannot be performed The greatest ...
Σελίδα 38
... a given product , when the other is known . According to this definition , the quotient multiplied by the divisor must produce anew the dividend . By applying what is here said to simple quantities we 38 Elements of Algebra .
... a given product , when the other is known . According to this definition , the quotient multiplied by the divisor must produce anew the dividend . By applying what is here said to simple quantities we 38 Elements of Algebra .
Σελίδα 39
... dividend is formed from the factors of the divisor and those of the quotient ; whence , by suppressing in the dividend all the factors which compose the divisor , the result will be the quotient sought . Let there be , for example , the ...
... dividend is formed from the factors of the divisor and those of the quotient ; whence , by suppressing in the dividend all the factors which compose the divisor , the result will be the quotient sought . Let there be , for example , the ...
Σελίδα 40
... dividend and divisor . We see by this , that the proposition , every quantity which has zero for its exponent , is ... dividend ; 2. that the exponent of any letter in the divisor should not exceed that of the same letter in the dividend ...
... dividend and divisor . We see by this , that the proposition , every quantity which has zero for its exponent , is ... dividend ; 2. that the exponent of any letter in the divisor should not exceed that of the same letter in the dividend ...
Σελίδα 41
... dividend and divisor , and may consequently be suppressed . To find the number of factors b common to the two terms of the fraction , we must divide the higher 65 by the lower b3 according to the rule above given , and the quotient b2 ...
... dividend and divisor , and may consequently be suppressed . To find the number of factors b common to the two terms of the fraction , we must divide the higher 65 by the lower b3 according to the rule above given , and the quotient b2 ...
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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.