Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα xiii
... taken for the approximate value of the fraction 260 - m 1 ib . Examples in arithmetical progressions 262 Examples in geometrical progressions Theory of Exponential Quantities and of Logarithms Remarkable fact , that all numbers may be ...
... taken for the approximate value of the fraction 260 - m 1 ib . Examples in arithmetical progressions 262 Examples in geometrical progressions Theory of Exponential Quantities and of Logarithms Remarkable fact , that all numbers may be ...
Σελίδα 6
... taken together must make the number to be divided ; whence , x + x +40 + x + 40 + 60 = 230 . If the given numbers be united in one expression and the un- known ones in another , is found three times in the result , and for the sake of ...
... taken together must make the number to be divided ; whence , x + x +40 + x + 40 + 60 = 230 . If the given numbers be united in one expression and the un- known ones in another , is found three times in the result , and for the sake of ...
Σελίδα 11
... taken together are called a member ; an equation has two members . That which is on the left is called the first member , and the other the second . In the equation 2 x + b = a , 2 x + b is the first member , and ⚫a is the second ...
... taken together are called a member ; an equation has two members . That which is on the left is called the first member , and the other the second . In the equation 2 x + b = a , 2 x + b is the first member , and ⚫a is the second ...
Σελίδα 12
... taken at random , and to serve for an exam- ple merely , the equation + 7 8 x 12 , it is to be consid- ered , as also every other of which I shall speak hereafter , as derived from a problem , of which we can always find the enun ...
... taken at random , and to serve for an exam- ple merely , the equation + 7 8 x 12 , it is to be consid- ered , as also every other of which I shall speak hereafter , as derived from a problem , of which we can always find the enun ...
Σελίδα 15
... taken first , so many times as there are units in a , sub- tract so many times x as there are units in b , and add to the result the same quantity x , taken so many times as there are units in c . It follows then on the whole , that the ...
... taken first , so many times as there are units in a , sub- tract so many times x as there are units in b , and add to the result the same quantity x , taken so many times as there are units in c . It follows then on the whole , that the ...
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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.