Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα xiii
... logarithms 271 Of the logarithms of fractions ib . The arithmetical complement -273 To change a logarithm from one system to another 274 The logarithm of zero 275 The use of logarithms , in finding the numerical value of formulas ib ...
... logarithms 271 Of the logarithms of fractions ib . The arithmetical complement -273 To change a logarithm from one system to another 274 The logarithm of zero 275 The use of logarithms , in finding the numerical value of formulas ib ...
Σελίδα 263
... Logarithms . 238. In the seveal questions we have resolved thus far , the unknown quantities lave not been made subjects of ... Logarithms . 263 Examples in geometrical progressions Theory of Exponential Quantities and of Logarithms.
... Logarithms . 238. In the seveal questions we have resolved thus far , the unknown quantities lave not been made subjects of ... Logarithms . 263 Examples in geometrical progressions Theory of Exponential Quantities and of Logarithms.
Σελίδα 265
... . Alg . ym = ( az ) m = amz 32 = ( a2 ) " = a * 34 It follows from the first two results , that knowing Theory of Exponential Quantities and of Logarithms . 265 Remarkable fact, that all numbers may be produced by means the powers of.
... . Alg . ym = ( az ) m = amz 32 = ( a2 ) " = a * 34 It follows from the first two results , that knowing Theory of Exponential Quantities and of Logarithms . 265 Remarkable fact, that all numbers may be produced by means the powers of.
Σελίδα 266
... logarithms . I shall , in future , represent the logarithm of y by ly ; we have then xly , and since y = a , we are furnished with the equa- tion y = aly . 242. As the properties of logarithms are independent of any particular value of ...
... logarithms . I shall , in future , represent the logarithm of y by ly ; we have then xly , and since y = a , we are furnished with the equa- tion y = aly . 242. As the properties of logarithms are independent of any particular value of ...
Σελίδα 267
... logarithms of the intermediate numbers , between 1 and 10 , 10 and 100 , 100 and 1000 , & c . can be found only by approximation . To obtain , for example , the logarithm of 2 , we 1 must resolve the equation ( 10 ) = 2 , by the method ...
... logarithms of the intermediate numbers , between 1 and 10 , 10 and 100 , 100 and 1000 , & c . can be found only by approximation . To obtain , for example , the logarithm of 2 , we 1 must resolve the equation ( 10 ) = 2 , by the method ...
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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.