Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα viii
... radical sign , that a root is to be extracted The number of decimal figures in the square double the number of those ... sign + or The square root of a negative quantity is imaginary 122 · 123 Complete equations of the second degree ib ...
... radical sign , that a root is to be extracted The number of decimal figures in the square double the number of those ... sign + or The square root of a negative quantity is imaginary 122 · 123 Complete equations of the second degree ib ...
Σελίδα x
... Radical Expressions Process for performing on radicals of the same degree the four fundamental operations - To raise ... sign a factor that is without it Multiplication and division of certain radical quantities Remarks on peculiar cases ...
... Radical Expressions Process for performing on radicals of the same degree the four fundamental operations - To raise ... sign a factor that is without it Multiplication and division of certain radical quantities Remarks on peculiar cases ...
Σελίδα xi
... radical sign to disappear General formulas for equations having two unknown quantities 205 ib . and how they may be reduced to equations having only one 206 Formula of elimination in two equations of the second degree To determine ...
... radical sign to disappear General formulas for equations having two unknown quantities 205 ib . and how they may be reduced to equations having only one 206 Formula of elimination in two equations of the second degree To determine ...
Σελίδα 116
... square of 47 , but less than that of 48 , and which will approach nearer and nearer to the num- ber 2276 . The extraction of the square root ... radical sign ; 16 is equivalent to 4 , 2 is incommensurable or 116 Elements of Algebra .
... square of 47 , but less than that of 48 , and which will approach nearer and nearer to the num- ber 2276 . The extraction of the square root ... radical sign ; 16 is equivalent to 4 , 2 is incommensurable or 116 Elements of Algebra .
Σελίδα 121
... root of the fraction 25 , the sign is made to descend below the line , which seperates the numerator from the denominator . If it were written thus , 252 29 the expression would designate the quotient arising from the square root of the ...
... root of the fraction 25 , the sign is made to descend below the line , which seperates the numerator from the denominator . If it were written thus , 252 29 the expression would designate the quotient arising from the square root of 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.