A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and Academies |
Common terms and phrases
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 RULE formula fraction gentleman geometrical mean geometrical progression geometrical series given number greater Hence infinity last term less letters lowest terms miles minus 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
Popular passages
Page 56 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 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.
Page 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.
Page 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...
Page 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.
Page 63 - 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.
Page 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.
Page 338 - In a parcel which contains 24 coins of silver and copper, each silver coin is worth as many pence as there are copper coins, and each copper coin is worth as many pence as there are silver coins, and the whole is worth 18 shillings. How many are there of each ? Ans. 6 of one, and 18 of the other.
Page 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...
Page 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...