Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...Harper & Brothers, 1846 - 358 σελίδες |
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Σελίδα 17
... vulgar fraction , as 3. Or by placing the divisor to the right of the dividend , and drawing a perpendicular line between . them , and a horizontal line under the divisor , as a b . 29. To indicate that the difference between two ...
... vulgar fraction , as 3. Or by placing the divisor to the right of the dividend , and drawing a perpendicular line between . them , and a horizontal line under the divisor , as a b . 29. To indicate that the difference between two ...
Σελίδα 163
... vulgar fraction may be changed to a decimal fraction before extracting its root , and a mixed number to a whole number and decimal . EXAMPLES . 1. What is the square root of 31,027 to within , 01 ? Ans . 5,57 . 2. What is the square ...
... vulgar fraction may be changed to a decimal fraction before extracting its root , and a mixed number to a whole number and decimal . EXAMPLES . 1. What is the square root of 31,027 to within , 01 ? Ans . 5,57 . 2. What is the square ...
Σελίδα 169
... vulgar fraction may be most readily obtained after converting it first into a decimal fraction . EXAMPLES . 1. What is the cube root of 75686967 ? Ans . 423 . 2. What is the cube root of 128787625 ? Ans . 505 . 3. What is the cube root ...
... vulgar fraction may be most readily obtained after converting it first into a decimal fraction . EXAMPLES . 1. What is the cube root of 75686967 ? Ans . 423 . 2. What is the cube root of 128787625 ? Ans . 505 . 3. What is the cube root ...
Σελίδα 288
... fraction . CONTINUED FRACTIONS . 432. A continued fraction is one which has 1 for its nu- merator , and for its ... vulgar fraction into a continued fraction . RULE . Apply to the two terms of the fraction the process of finding their ...
... fraction . CONTINUED FRACTIONS . 432. A continued fraction is one which has 1 for its nu- merator , and for its ... vulgar fraction into a continued fraction . RULE . Apply to the two terms of the fraction the process of finding their ...
Σελίδα 289
... fraction the successive quotients will be 2 , 1 , 2 , 1 , 351 965 ' 87 , and their reciprocals , 1 , 1 , 1 , and ... vulgar fraction for a given con- tinued fraction . RULE . 1. If there be any whole number prefixed 25 O o SECT . X. ] 289 ...
... fraction the successive quotients will be 2 , 1 , 2 , 1 , 351 965 ' 87 , and their reciprocals , 1 , 1 , 1 , and ... vulgar fraction for a given con- tinued fraction . RULE . 1. If there be any whole number prefixed 25 O o SECT . X. ] 289 ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Algebra: Embracing Also the Theory and Application of Logarithms ... Davis Wasgatt Clark Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Elements of Algebra: Embracing Also the Theory and Application of Logarithms Davis Wasgatt Clark Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic arithmetical arithmetical series binomial Binomial Theorem cent coefficients continued fraction cube root cubic equation decimal digits dividend Dividing divisible equal EXAMPLES Expand exponent expression Extract the square factors fifth power figure Find the values following general RULE formula fourth power fourth root geometrical series given number greater greatest common divisor Hence inequation infin infinite series last term least common multiple less letters logarithm monomials Multiply number consisting number of terms obtain order of difference polynomial proposed number quotient radical sign ratio Reduce the equation remainder represent Required the fifth Required the fourth Required the second Required the simplest Required the square Required the third result second power second term share simplest form square root Substituting subtract tens Theorem third power third root three numbers tion Transposing unknown quantities vulgar fraction Whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 165 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 171 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Σελίδα 209 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Σελίδα 172 - Subtract this square number from the first period, and to the remainder bring down the next period for a dividend.
Σελίδα 42 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 68 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 233 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 232 - BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number must be compared with a number; a line with a line; &c. &c. ; and it would be absurd to compare a certain number of feet with a certain number of pomds; &c.
Σελίδα 60 - The least common multiple of two or more numbers, is the least number which can be divided by each of them without a remainder.
Σελίδα 20 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.