An Elementary Treatise on Algebra, Theoretical and Practical ...W. E. Dean, 1835 - 361 σελίδες |
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Σελίδα v
... divisor of two or more quantities 60 III . Method of finding the least common multiple of two or more quantities 72 IV . Reduction of algebraic fractions 73 V. Addition and subtraction of algebraic fractions VI . Multiplication and ...
... divisor of two or more quantities 60 III . Method of finding the least common multiple of two or more quantities 72 IV . Reduction of algebraic fractions 73 V. Addition and subtraction of algebraic fractions VI . Multiplication and ...
Σελίδα viii
... Divisors · 333 V. Resolution of numeral equations , by NEWTON'S method of approximation - 336 APPENDIX . Algebraic method of demonstrating the propositions in the fifth book of Euclid's Elements , according to the text and arrangements ...
... Divisors · 333 V. Resolution of numeral equations , by NEWTON'S method of approximation - 336 APPENDIX . Algebraic method of demonstrating the propositions in the fifth book of Euclid's Elements , according to the text and arrangements ...
Σελίδα 2
... divisor , produces a given dividend . Division is denoted by placing the dividend before the sign and the divisor after it ; thus ab , implies that the quan- tity a is to be divided by the quantity b . Also , it is frequent- ly denoted ...
... divisor , produces a given dividend . Division is denoted by placing the dividend before the sign and the divisor after it ; thus ab , implies that the quan- tity a is to be divided by the quantity b . Also , it is frequent- ly denoted ...
Σελίδα 6
... divisors being 2 and 4 ; also , 4ax2 and 5ax are commensurable , the common divi- sor being ax . 29. Also , two or more numbers are said to be prime to each other , when they have no common measure or divisor , except unity ; as 3 and 5 ...
... divisors being 2 and 4 ; also , 4ax2 and 5ax are commensurable , the common divi- sor being ax . 29. Also , two or more numbers are said to be prime to each other , when they have no common measure or divisor , except unity ; as 3 and 5 ...
Σελίδα 32
... divisor and dividend may be more readily suppressed ; as will be evident , from various instances , in the following part of the work . Ex . 16. Required the product of a + b + c by a − b + c . Ans . a2 + 2ac - b2 + c2 . Ex . 17 ...
... divisor and dividend may be more readily suppressed ; as will be evident , from various instances , in the following part of the work . Ex . 16. Required the product of a + b + c by a − b + c . Ans . a2 + 2ac - b2 + c2 . Ex . 17 ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra, Theoretical and Practical: Adapted to the ... James Ryan Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
An Elementary Treatise on Algebra, Theoretical and Practical: Adapted to the ... James Ryan Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
An Elementary Treatise on Algebra, Theoretical and Practical: Adapted to the ... James Ryan Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added adfected algebraic quantities arithmetical becomes binomial changing the signs coefficient completing the square compound quantities consequently cube root DEMONSTRATION denoted difference digits divided dividend division equa equal exponent expressed extracting the root factors find the values formula fourth given equation greater greatest common divisor Hence improper fraction integral least common multiple less letter logarithm lowest terms lues magnitudes manner method miles mixed quantity multiplied number of terms observed positive PROB problem proportion proposed equation quadratic quadratic equation quadratic surds quan quotient radical quantities radical sign ratio Reduce remainder Required the cube Required the square required to find result RULE second equation shillings side simple equations square root substituting subtraction surd third tion tities transposition unity unknown quantity values of x whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 348 - IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents.
Σελίδα 341 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Σελίδα 96 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 146 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Σελίδα 340 - A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater; that is, ' when the less is contained a certain number of times
Σελίδα 346 - Equal magnitudes have the same ratio to the same magnitude; and the same has the same ratio to equal magnitudes.
Σελίδα 186 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 352 - THEOB.—If four magnitudes be proportionals, they are also proportionals by conversion; that is, the first is to its excess above the second, as the third to its excess above the fourth. Let AB be to BE, as CD to DF: then BA shall be to AE, as DC to CF.
Σελίδα 345 - IF the first be to the second as the third to the fourth, and if the first be a multiple, or part of the second; the third is the same multiple, or the same part of the fourth...
Σελίδα 41 - 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.