An Elementary Treatise on Algebra, Theoretical and Practical ...W. E. Dean, 1835 - 361 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 1
... represent 8 and b 4 ; then , a + b represents 12 , or a + b = 8 + 4 = 12 . 5. Subtraction is the taking as much from one quantity as is equal to another . Subtraction is denoted by a single line ; as a - b or a minus b , which is the ...
... represent 8 and b 4 ; then , a + b represents 12 , or a + b = 8 + 4 = 12 . 5. Subtraction is the taking as much from one quantity as is equal to another . Subtraction is denoted by a single line ; as a - b or a minus b , which is the ...
Σελίδα 2
... represented by the sign ; thus , ab is a − b , or b - a ; and ab signifies the sum or difference of a and b . 7. Multiplication is the adding together so many numbers or quantities equal to the multiplicand as there are units in the ...
... represented by the sign ; thus , ab is a − b , or b - a ; and ab signifies the sum or difference of a and b . 7. Multiplication is the adding together so many numbers or quantities equal to the multiplicand as there are units in the ...
Σελίδα 11
... represent any quantity or thing , which is the object of calculation , 5a will represent five times that thing , and 7a seven times the same thing , what- ever may be the denomination or numeral value of a ; and consequently , if the ...
... represent any quantity or thing , which is the object of calculation , 5a will represent five times that thing , and 7a seven times the same thing , what- ever may be the denomination or numeral value of a ; and consequently , if the ...
Σελίδα 32
... representing the multiplication of compound quantities by barely indicating the operation that is to be per- formed on them , is preferable to that of executing the entire process ; particularly when the product of two or more factors ...
... representing the multiplication of compound quantities by barely indicating the operation that is to be per- formed on them , is preferable to that of executing the entire process ; particularly when the product of two or more factors ...
Σελίδα 36
... represent a × a × a , & c . , continued to d factors in the divisor . Hence , according to the results ( 1 ) , ( 2 ) ... representing the quotient by a fraction , in the manner that has been already described ( Art . 8 ) . 88. But if any ...
... represent a × a × a , & c . , continued to d factors in the divisor . Hence , according to the results ( 1 ) , ( 2 ) ... representing the quotient by a fraction , in the manner that has been already described ( Art . 8 ) . 88. But if any ...
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.