A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesRobert S. Davis & Company, 1857 - 360 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
A Practical Treatise on Algebra: Designed for the Use of Students in High ... Benjamin Greenleaf Περιορισμένη προεπισκόπηση - 2022 |
A Practical Treatise on Algebra: Designed for the Use of Students in High ... Benjamin Greenleaf Περιορισμένη προεπισκόπηση - 2022 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A's gain Academy acres added amount arithmetical progression binomial bushels coefficient common denominator common difference Common School Arithmetic Completing the square compound interest contains cube root cubic decimal distance Divide dividend divisor Evolving EXAMPLES exponent expressed Extract the square factor Female Seminary find the sum find the values following RULE formula fraction gentleman geometrical geometrical mean geometrical progression geometrical series given number greater Greenleaf's Algebra Hence High School last term less letters miles minus quantity Multiply NATIONAL ARITHMETIC negative number of terms obtain prefixed Principal proportionals pupil quadratic quadratic equations quotient rate per cent ratio Reduce remainder Required the number Required the sum second power shillings sides simple form square rods square root subtract surd teachers third power Transposing 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 194 - 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 - ... 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 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.
Σελίδα 270 - 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 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 336 - 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.
Σελίδα 269 - It is also apparent, from the nature of these series, that if any two indices be added together, their sum will be the index of that number which is equal to the product of the two terms, in the geometric progression, to which those in-, dices belong.
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.