Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα 4
... follow from this , that it is necessary to diminish a by b to obtain 2 x , and that consequently 2x ab . We conclude then that half of 2 x or x = α b 2-2 This last result , being translated into ordinary language , by substituting the ...
... follow from this , that it is necessary to diminish a by b to obtain 2 x , and that consequently 2x ab . We conclude then that half of 2 x or x = α b 2-2 This last result , being translated into ordinary language , by substituting the ...
Σελίδα 5
... follows ; α b being the value of this , augmenting it by the excess b , we - 2 2 b α b 2 + b . - have for the greater part - 26 . Now a - + b shows that after having subtracted from the half of 6 , it is necessary to add 2 to the ...
... follows ; α b being the value of this , augmenting it by the excess b , we - 2 2 b α b 2 + b . - have for the greater part - 26 . Now a - + b shows that after having subtracted from the half of 6 , it is necessary to add 2 to the ...
Σελίδα 7
... follows , that by taking 140 from 230 we have exactly the triple of x , or 3 x = 230 - 140 , or 3 x = 90 , whence it follows that x = 9/30 = '30 . By adding to 30 the excess 40 of the middle part above the least , we have 70 for the ...
... follows , that by taking 140 from 230 we have exactly the triple of x , or 3 x = 230 - 140 , or 3 x = 90 , whence it follows that x = 9/30 = '30 . By adding to 30 the excess 40 of the middle part above the least , we have 70 for the ...
Σελίδα 8
... follows then , that if from the number a we take double the number b and also the number c , we shall have exactly the triple of x , or that 3 x = a -26 . C. Now x being one third of three times x , we thence conclude that X = α 26 3 ...
... follows then , that if from the number a we take double the number b and also the number c , we shall have exactly the triple of x , or that 3 x = a -26 . C. Now x being one third of three times x , we thence conclude that X = α 26 3 ...
Σελίδα 13
... follows then , that in order to bring an equation to this state , it is necessary to free the unknown quantity from known quantities with which it is connected . Now the unknown quantity may be united to known quantities in three ways ...
... follows then , that in order to bring an equation to this state , it is necessary to free the unknown quantity from known quantities with which it is connected . Now the unknown quantity may be united to known quantities in three ways ...
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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.