A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesRobert S. Davis & Company, 1854 - 360 σελίδες |
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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 denoted distance Divide dividend divisor Evolving EXAMPLES exponent expressed Extract the square factor feet Find the logarithm find the sum find the values 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
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Σελίδα 40 - 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 239 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
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 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 84 - ... to that of the second and third ; but if I put it with the second horse, it will make the value double that of the first and third ; and if I put it with the third horse, it will make the value triple that of the first and second. What is the value of each horse ? 8. 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. Required how many...
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 103 - ... 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...
Σελίδα 299 - Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given...
Σελίδα 188 - 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.
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.