Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα v
... indicated upon Quantities , that are represented by Letters 23 Explanation of the terms , simple quantities ... indicating multiplication What is to be understood by powers of a quantity Of exponents - 24 ib . ib . 25 ib . - 26 27 - ib ...
... indicated upon Quantities , that are represented by Letters 23 Explanation of the terms , simple quantities ... indicating multiplication What is to be understood by powers of a quantity Of exponents - 24 ib . ib . 25 ib . - 26 27 - ib ...
Σελίδα vi
... 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 simplified when the ...
... 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 simplified when the ...
Σελίδα 3
... indicate that two quantities are equal , we place between them the sign = , which signifies equal . These abbreviations , although very considerable , are still not sufficient , for we are obliged often to repeat the number to be ...
... indicate that two quantities are equal , we place between them the sign = , which signifies equal . These abbreviations , although very considerable , are still not sufficient , for we are obliged often to repeat the number to be ...
Σελίδα 5
... indicated upon a and b . The half of 9 being and that of 5 being , we have for the less part === 2 , and for the greater 1/2 + 1/2 = 1/4 = 7 . 4. I have denoted in the above the less of the two parts by x , and I have deduced from it ...
... indicated upon a and b . The half of 9 being and that of 5 being , we have for the less part === 2 , and for the greater 1/2 + 1/2 = 1/4 = 7 . 4. I have denoted in the above the less of the two parts by x , and I have deduced from it ...
Σελίδα 8
... indicate ; it will then become , as follows ; From the number to be divided , subtract double the excess of the middle part above the least , and also the excess of the greatest above the middle part , and take a third of the remainder ...
... indicate ; it will then become , as follows ; From the number to be divided , subtract double the excess of the middle part above the least , and also the excess of the greatest above the middle part , and take a third of the remainder ...
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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.