A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis & Company, 1863 - 351 σελίδες |
Συχνά εμφανιζόμενοι όροι και φράσεις
A's gain acres added Algebra amount arithmetical progression arithmetical series 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 sum find the values following RULE formula fraction gentleman geometrical mean geometrical progression geometrical series given number greater Hence infinity last term less letters logarithm lowest terms miles minus quantity Multiply NATIONAL ARITHMETIC 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 56 - 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 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 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 278 - 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 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 197 - A could reap it in 9 days, they promised to complete it in 5 days. They found, however, that they were obliged to call in C, an inferior workman, to assist them for the last two days, in consequence of which B received 3s. 9d. less than he otherwise would have done. In what time could B and C each reap the field ? Ans.
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 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 271 - ... belong. Thus, the indices 2 and 3, being added together, make 5 ; and the numbers 4 and 8, or the terms corresponding to those indices, being multiplied together, make 32, which is the number answering to the index 5. In like manner, if any one index be subtracted from another, the difference will be the index of that number which is equal to the quotient of the two terms to which those indices belong.
Σελίδα 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.