Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 20
... corresponding stock into the whole gain , and dividing the product by the sum of the stocks ; which reduced to a proportion , becomes the whole stock : a particular stock :: the whole gain : the particular gain . 15. To form an equation ...
... corresponding stock into the whole gain , and dividing the product by the sum of the stocks ; which reduced to a proportion , becomes the whole stock : a particular stock :: the whole gain : the particular gain . 15. To form an equation ...
Σελίδα 23
... corresponding operations of arithmetic . • We have also by the same analogy two algebraic operations , which bear the names of addition and subtraction , in which the object is to unite several algebraic expressions in one , or to take ...
... corresponding operations of arithmetic . • We have also by the same analogy two algebraic operations , which bear the names of addition and subtraction , in which the object is to unite several algebraic expressions in one , or to take ...
Σελίδα 33
... corresponding part of the multiplicand . - 1 . 30. The contrary takes place when the multiplier contains parts to be subtracted ; the products arising from these parts must be put down with a sign , contrary to that which they would ...
... corresponding part of the multiplicand . - 1 . 30. The contrary takes place when the multiplier contains parts to be subtracted ; the products arising from these parts must be put down with a sign , contrary to that which they would ...
Σελίδα 34
... corresponding terms of the multiplicand ( 31 ) . · The first term 5 at of the multiplicand having the sign plus , we do not write that of the first term of the product , which would be + ; the coefficient 5 of a1 being multiplied by the ...
... corresponding terms of the multiplicand ( 31 ) . · The first term 5 at of the multiplicand having the sign plus , we do not write that of the first term of the product , which would be + ; the coefficient 5 of a1 being multiplied by the ...
Σελίδα 35
... corresponding terms of the mul- tiplicand ; the coefficients , the letters , and the exponents are deter- mined as in the preceding line . The third line contains the products of all the terms of the multiplicand by the third term +263 ...
... corresponding terms of the mul- tiplicand ; the coefficients , the letters , and the exponents are deter- mined as in the preceding line . The third line contains the products of all the terms of the multiplicand by the third term +263 ...
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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.