An Elementary Treatise on Algebra: Theoretical and Practical ... |
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Σελίδα xi
Resolution of biquadratic equations by the method of Des CARTES IV .
Resolution of numeral equations by the method 36 of Divisors V. Resolution of
numeral equations , by Newton's method of approximation 353 355 358
APPENDIX .
Resolution of biquadratic equations by the method of Des CARTES IV .
Resolution of numeral equations by the method 36 of Divisors V. Resolution of
numeral equations , by Newton's method of approximation 353 355 358
APPENDIX .
Σελίδα 1
EXPLANATION OF THE ALGEBRAIC METHOD OF NOTATION : DEFINITIONS
AND AXIOMS . $ 1. Algebra is a general method of computation , in which
abstract quantities and their several relations are made the subject of calculation
, by ...
EXPLANATION OF THE ALGEBRAIC METHOD OF NOTATION : DEFINITIONS
AND AXIOMS . $ 1. Algebra is a general method of computation , in which
abstract quantities and their several relations are made the subject of calculation
, by ...
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 97
And the manner of deducing general laws by the consideration of certain
particular cases , is usually called induction ; which , though not a strict method of
proof , says LAPLACE , has been the source of almost all the discoveries that
have ...
And the manner of deducing general laws by the consideration of certain
particular cases , is usually called induction ; which , though not a strict method of
proof , says LAPLACE , has been the source of almost all the discoveries that
have ...
Σελίδα 185
In the numerical , or particular method of solution , unknown quantities are
represented by letters , and the known ones by numbers , as in arithmetic . In the
literal , or general solution , all quantities , known and unknown , are represented
by ...
In the numerical , or particular method of solution , unknown quantities are
represented by letters , and the known ones by numbers , as in arithmetic . In the
literal , or general solution , all quantities , known and unknown , are represented
by ...
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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...
Πληροφορίες βιβλιογραφίας
| Τίτλος | An Elementary Treatise on Algebra: Theoretical and Practical ... |
| Συγγραφέας | James Ryan |
| Έκδοση | 2 |
| Εκδότης | Collins and Hannay, 1826 |
| Πρωτότυπο από | η Δημόσια Βιβλιοθήκη της Νέας Υόρκης |
| Ψηφιοποιήθηκε στις | 21 Ιουν. 2006 |
| Μέγεθος | 383 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |