Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα v
... Multiplication of Algebraic Quantities Manner of indicating multiplication What is to be understood by powers of a quantity Of exponents - 24 ib . ib . 25 ib . - 26 27 - ib . 28 29 30 Method of finding the powers of a number Rule for.
... Multiplication of Algebraic Quantities Manner of indicating multiplication What is to be understood by powers of a quantity Of exponents - 24 ib . ib . 25 ib . - 26 27 - ib . 28 29 30 Method of finding the powers of a number Rule for.
Σελίδα vi
... Manner of indicating the multiplication of compound quantities Division of Algebraic Quantities Rules for the division of simple quantities Value of a quantity whose exponent is zero How an expression employing division may be ...
... Manner of indicating the multiplication of compound quantities Division of Algebraic Quantities Rules for the division of simple quantities Value of a quantity whose exponent is zero How an expression employing division may be ...
Σελίδα ix
... Manner of denoting these powers · 154 Form of the product of any number whatever of factors of the first degree ib . Method of deducing from this product the developement of any power of a binomial - 156 Theory of permutations and ...
... Manner of denoting these powers · 154 Form of the product of any number whatever of factors of the first degree ib . Method of deducing from this product the developement of any power of a binomial - 156 Theory of permutations and ...
Σελίδα x
... manner as those of the Second Degree To determine their several roots Calculus of Radical Expressions Process for performing on radicals of the same degree the four fundamental operations - To raise a radical quantity to any power ...
... manner as those of the Second Degree To determine their several roots Calculus of Radical Expressions Process for performing on radicals of the same degree the four fundamental operations - To raise a radical quantity to any power ...
Σελίδα xiii
... Manner of reducing all the terms of a progression by quotients from the expression of the sum Division of m by m In what cases the quotient of this operation is converging and may Of diverging series m be taken for the approximate value ...
... Manner of reducing all the terms of a progression by quotients from the expression of the sum Division of m by m In what cases the quotient of this operation is converging and may Of diverging series m be taken for the approximate value ...
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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.