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added Algebra amount arithmetical bushels called cent Change coefficients common denominator common difference Completing compound interest Conditions contains contents cube root denotes distance Divide division divisor equal equation evident EXAMPLES exponents expressed Extract extremes factor field figure Find the sum find the value following RULE formula four fourth fraction gain geometrical give Given greater half Hence hour indices larger last term length less letters logarithm lowest terms means miles minus mixed months Multiply negative number of terms number or quantity obtained operation perform principal PROBLEM progression proportionals question quotient ratio receive Reduce remainder represent Required result RULE shillings side simple square rods square root Substituting subtract surd taken third Transposing twice unit unknown quantity value of x whole yards
Σελίδα 54 - RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 235 - 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 61 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Σελίδα 263 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 267 - 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 193 - Multiply the difference of the two numbers, found by trial, by the least error, and divide the product by the difference of the errors, when they are alike, but by their sum, when they are unlike. Or say...
Σελίδα 100 - 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 284 - 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...