An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα iii
... CONTAINING AN ALGEBRAIC METHOD OF DEMONSTRATING THE PROPOSITIONS IN THE FIFTH BOOK OF EUCLID'S ELE- MENTS , ACCORDING TO THE TEXT AND AR- RANGEMENT IN SIMSON'S EDITION , BY ROBERT ADRAIN , LL.D. F.A.P.S. F.A.A.S. , & c . And Professor ...
... CONTAINING AN ALGEBRAIC METHOD OF DEMONSTRATING THE PROPOSITIONS IN THE FIFTH BOOK OF EUCLID'S ELE- MENTS , ACCORDING TO THE TEXT AND AR- RANGEMENT IN SIMSON'S EDITION , BY ROBERT ADRAIN , LL.D. F.A.P.S. F.A.A.S. , & c . And Professor ...
Σελίδα iv
... containing an Algebraic Method of demonstrating the Propositions in the fifth book of Euclid's Elements , according to the text and arrangement in Simson's edition , by Robert Adrain , LL.D. F.A.P.S. F.A.A.S. , & c . and Professor of ...
... containing an Algebraic Method of demonstrating the Propositions in the fifth book of Euclid's Elements , according to the text and arrangement in Simson's edition , by Robert Adrain , LL.D. F.A.P.S. F.A.A.S. , & c . and Professor of ...
Σελίδα 31
... contains either of the factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times . - And the same quantity ab , contains 6 as many times as a contains ...
... contains either of the factors as many times as the other contains an unit . There- fore , the product ab contains a as many times as contains an unit , that is , b times . - And the same quantity ab , contains 6 as many times as a contains ...
Σελίδα 50
... , leaves a re- mainder 2ab + 262 ; and this remainder must also be divided by a + b , where it is evident that the quo- tient of this division must contain the term 26 : again , 26 , multiplied by a + b , 50 DIVISION .
... , leaves a re- mainder 2ab + 262 ; and this remainder must also be divided by a + b , where it is evident that the quo- tient of this division must contain the term 26 : again , 26 , multiplied by a + b , 50 DIVISION .
Σελίδα 53
... contains no letter that is not to be found in the dividend ; in the second place , that the exponent of the letters , in the divisor , do not surpass at all that which they have in the dividend ; finally , that the coefficient of the ...
... contains no letter that is not to be found in the dividend ; in the second place , that the exponent of the letters , in the divisor , do not surpass at all that which they have in the dividend ; finally , that the coefficient of the ...
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An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number