An Elementary Treatise on Algebra: Theoretical and Practical ... |
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Σελίδα vii
1 INTRODUCTION . Page Explanation of the Algebraic method of rotation
Definitions and Axioms , 1 CHAPTER I. On the Addition , Subtraction ,
Multiplication , and Division of Algebraic Quantities . Sect . I. Addition of algebraic
quantities 11 II .
1 INTRODUCTION . Page Explanation of the Algebraic method of rotation
Definitions and Axioms , 1 CHAPTER I. On the Addition , Subtraction ,
Multiplication , and Division of Algebraic Quantities . Sect . I. Addition of algebraic
quantities 11 II .
Σελίδα 11
Addition of Algebraic Quantities . 54. The addition of algebraic quantities is
performed by connecting those that are unlike with their proper sigus , and
collecting those that are like into one sum ; for the more ready effecting of which ,
it may not ...
Addition of Algebraic Quantities . 54. The addition of algebraic quantities is
performed by connecting those that are unlike with their proper sigus , and
collecting those that are like into one sum ; for the more ready effecting of which ,
it may not ...
Σελίδα 80
In addition to the methods pointed out in ( Art . 144 for finding the greatest
common divisor of two algebraic quantities , it may not be improper to take notice
here of another method , given by Simpson , in his Algebra , which may be used
to ...
In addition to the methods pointed out in ( Art . 144 for finding the greatest
common divisor of two algebraic quantities , it may not be improper to take notice
here of another method , given by Simpson , in his Algebra , which may be used
to ...
Σελίδα 95
RESOLUTION OF ALGEBRAIC FRACTIONS OR QUOTIENTS INTO INFINITE
SERIES . 159. An infinite series is a continued rank , or progression of quantities ,
connected together by the signs + or — ; and usually proceeds according to
some ...
RESOLUTION OF ALGEBRAIC FRACTIONS OR QUOTIENTS INTO INFINITE
SERIES . 159. An infinite series is a continued rank , or progression of quantities ,
connected together by the signs + or — ; and usually proceeds according to
some ...
Σελίδα 97
... integral part ; so that we might still go on without end ' ; for which reason it may
be said that the proposed fraction has been resolved into an infinite series ,
which is , 1 tatatas antanti . a ta ' tastata ? + 28 + ao 10 ALGEBRAIC FRACTIONS
.
... integral part ; so that we might still go on without end ' ; for which reason it may
be said that the proposed fraction has been resolved into an infinite series ,
which is , 1 tatatas antanti . a ta ' tastata ? + 28 + ao 10 ALGEBRAIC FRACTIONS
.
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An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
An Elementary Treatise on Algebra, Theoretical and Practical ... James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
according added addition algebraic answer appears arise becomes calculation called changing the signs coefficient common denominator completing compound consequently consisting contains continued cube root DEMONSTRATION determined difference divided dividend division equa equal equation evident example exponent expression extracting fact factors figures find the values formula four fourth fraction give Given greater greatest common divisor Hence indices infinite integral involving known least common multiple less letter magnitudes manner means measure method miles multiplied necessary negative observed obtained operation positive preceding Prob problem proper proportion question quotient ratio Reduce remainder represent respect result RULE shillings side simple equations solution square root substituting subtraction suppose surd taken third tion transposition travelled unity unknown quantities values of x whence whole
Δημοφιλή αποσπάσματα
Σελίδα iv - Congress of the United States. entitled, " an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the time therein mentioned." And also to an act, entitled, " an act, supplementary to an act, entitled, an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned, and extending the benefits thereof...
Σελίδα 146 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Σελίδα 336 - 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 - XX. THEOR. IF there be three magnitudes, and other three, which, taken two and two, have the same ratio ; if the first be greater than the third, the fourth shall be greater than the sixth ; and if equal, equal ; and if less, less...
Σελίδα 339 - If the whole be to the whole, as a magnitude taken from the first is to a magnitude taken from the other ; the remainder...
Σελίδα 340 - 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 31 - 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.
Σελίδα 329 - When of the equimultiples of four magnitudes (taken as in the fifth definition) the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth...
Σελίδα 335 - MAGNITUDES which have the same ratio to the same magnitude are equal to one another ; and those to which the same magnitude has the same ratio are equal to one another.
Σελίδα 331 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...