Mathematics Self-taught: The Lübsen Method for Self-instruction, and Use in the Problems of Practical Life. I. Arithmetic and Algebra

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Gillespie bros., printers, Stamford, Conn., 1897 - 333 σελίδες

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Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

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Σελίδα 270 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Σελίδα 36 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Σελίδα 57 - Multiply as in whole numbers, and point off as many decimal places in the product as there are decimal places in the multiplicand and multiplier, supplying the deficiency, if any, by prefixing ciphers.
Σελίδα 257 - The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, N" = (oT)
Σελίδα 205 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.
Σελίδα 149 - Multiply each sum by its time, and divide the sum of the products by the whole debt ; the quotient is accounted the mean time. EXAMPLES. 1. A. owes B.
Σελίδα 58 - Move the decimal point to the left as many places as there are decimal places in the dividend.
Σελίδα 45 - Reduce the fractions to a common denominator and divide the numerator of the dividend by the numerator of the divisor.
Σελίδα 193 - ... multiplied by the square of the second, plus the cube of the second term. The above rule may be applied to find the cube of a — b, thus (a - 6)8= [e +(- &)]8 = «8 + 3a2(-7>) + 3a(-&)2 + (-6)« = a3 - 3 o'2b + 3 aft2 - ft3.
Σελίδα 272 - Those roots, viz. the 5th, 7th, llth, &c., which are not resolvable by the square and cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION.

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