Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα v
... Unknown Quantity · Rule for transposing any term from one member of an equation to the other - · To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an ...
... Unknown Quantity · Rule for transposing any term from one member of an equation to the other - · To disengage an unknown quantity from multipliers Of equations , the terms of which have divisors Rule for making the denominators in an ...
Σελίδα vii
... unknown quantity Examples in the division of fractional expressions - 61 62 ib 63 Of Questions having two Unknown Quantities , and of . Negative Quantities Examples · · To resolve an equation , when the two members have the sign A ...
... unknown quantity Examples in the division of fractional expressions - 61 62 ib 63 Of Questions having two Unknown Quantities , and of . Negative Quantities Examples · · To resolve an equation , when the two members have the sign A ...
Σελίδα viii
... unknown quantity of the first degree General value of unknown quantities , in equations of the first degree , when there are three unknown quantities General rule for obtaining the value of unknown quantities Application of the general ...
... unknown quantity of the first degree General value of unknown quantities , in equations of the first degree , when there are three unknown quantities General rule for obtaining the value of unknown quantities Application of the general ...
Σελίδα ix
... number into two parts , the squares of which shall be in a given ratio Examples in the extraction of the square roots of numbers Examples in equations of the second degree , involving only the second power of the unknown quantity , and ...
... number into two parts , the squares of which shall be in a given ratio Examples in the extraction of the square roots of numbers Examples in equations of the second degree , involving only the second power of the unknown quantity , and ...
Σελίδα xi
... unknown quantities Rule for making the radical sign to disappear General formulas for equations having two unknown ... quantity in any two equations Euler's method of solving the above problem Inconvenience of the successive elimination of ...
... unknown quantities Rule for making the radical sign to disappear General formulas for equations having two unknown ... quantity in any two equations Euler's method of solving the above problem Inconvenience of the successive elimination of ...
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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.