A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis & Company, 1854 - 360 σελίδες |
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PRAC TREATISE ON ALGEBRA DESIG Benjamin 1786-1864 Greenleaf Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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A's gain acres added Algebra amount arithmetical mean arithmetical progression binomial bushels coefficient common denominator common difference Completing the square compound interest contain cube root cubic decimal denotes distance Divide dividend divisor Evolving EXAMPLES exponent expressed Extract the square factor feet Find the logarithm find the sum find the values following equation following RULE formula fraction gentleman geometrical mean geometrical progression geometrical series given number greater Hence infinity last term less letters lowest terms miles minus mixed quantity Multiply negative number of terms obtain prefixed proportionals quadratic quotient rate per cent ratio Reduce remainder Required the number Required the sum required to find second power second term shillings side simple form square rods square root subtract surd third power Transposing transposition twice unknown quantity values of x VERIFICATION whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 103 - J- of the sum of the shares of the other three, the share of the second £ of the sum of the other three, and the share of the third £ of the sum of the other three ; and it was found that the share of the oldest exceeded that of the youngest by $14.
Σελίδα 196 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Σελίδα 122 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.
Σελίδα 84 - A laborer agreed to serve for 36 days on these conditions, that for every day he worked he was to receive $1.25, but for every day he was absent he was to forfeit $0.50. At the end of the time he received $ 17.
Σελίδα 282 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 241 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Σελίδα 241 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 272 - N : so that the common log. of any number 10° or N, is n the index of that power of 10 which is equal to the said number. Thus 100, being the second power of 10, will have 2 for its logarithm : and 1000, being the third power of 10, will have 3 for its logarithm: hence also, if 50 be = lo>">»<"", then is 1-69897 the common log.
Σελίδα 61 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES.
Σελίδα 133 - Multiply the divisor thus increased, by the last figure of the root ; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.