Elementary algebra: with brief notices of its historyLongmans & Company, 1879 |
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Page iv
... become the ruling passion , and create envy and hatred of every successful rival , and generate a feeling of discontent which may become a fatal obstruction to all mental and moral improvement . These few words to teachers and learners ...
... become the ruling passion , and create envy and hatred of every successful rival , and generate a feeling of discontent which may become a fatal obstruction to all mental and moral improvement . These few words to teachers and learners ...
Page 24
... becomes affirmative ; and the addition of the quantities then taken , constitutes their difference . As the Hindu algebraists employed no symbols to denote the operations of addition and subtraction , so likewise they had no marks to ...
... becomes affirmative ; and the addition of the quantities then taken , constitutes their difference . As the Hindu algebraists employed no symbols to denote the operations of addition and subtraction , so likewise they had no marks to ...
Page 25
... becomes a fraction , the denominator of which is cipher . On this subject one of the commentators remarks : - " If the dividend be diminished , the divisor remaining the same , the quotient is reduced , and if the dividend be reduced to ...
... becomes a fraction , the denominator of which is cipher . On this subject one of the commentators remarks : - " If the dividend be diminished , the divisor remaining the same , the quotient is reduced , and if the dividend be reduced to ...
Page 44
... becomes less than any given quantity that can be assigned , when the series is indefinitely continued . In that case the difference vanishes , and the two terms become equal , either of which is the quantity sought , whereby an ...
... becomes less than any given quantity that can be assigned , when the series is indefinitely continued . In that case the difference vanishes , and the two terms become equal , either of which is the quantity sought , whereby an ...
Page 18
... becomes equal to xdy + ydx . It has been thought by some persons , because fluxions are pro- portional to the ... become something , or just before they vanish , but at the very moment they do so . And further , it may be added , that ...
... becomes equal to xdy + ydx . It has been thought by some persons , because fluxions are pro- portional to the ... become something , or just before they vanish , but at the very moment they do so . And further , it may be added , that ...
Autres éditions - Tout afficher
Elementary Algebra: With Brief Notices of Its History, Volumes 1 à 12 Robert Potts Affichage du livre entier - 1879 |
Elementary Algebra: With Brief Notices of Its History, Volumes 1 à 12 Robert Potts Aucun aperçu disponible - 2016 |
Expressions et termes fréquents
a+b+c a²+b² Algebra arithmetical progression binomial Binomial Theorem biquadratic calculus coefficients common difference consist contains cube root cubic equation decimal denominator denote the number determined digits divided dividend divisible Eliminate equal Euclid Euclid's Elements expression extract factors find the number find the value fluxions four fourth fraction geometrical progression given equations greater Hence highest common divisor involving jebr least common multiple Leibnitz less letters mathematical means method method of fluxions multiplied natural numbers negative quantity Newton notation number of terms positive integer published quadratic equation quotient ratio reduced remainder respectively result second equation shew side signs solution square numbers square root substituted subtraction surd symbols theorem third tion treatise unity unknown quantities whence
Fréquemment cités
Page 29 - This most beautiful system of the sun, planets, and comets could only proceed from the counsel and dominion of an intelligent and powerful Being.
Page iv - The sluggard is wiser in his own conceit than seven men that can render a reason.
Page 30 - We know him only by his most wise and excellent contrivances of things, and final causes; we admire him for his perfections; but we reverence and adore him on account of his dominion: for we adore him as his servants; and a god without dominion, providence, and final causes, is nothing else but Fate and Nature.
Page 32 - Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions, et réduits à l'analyse algébrique des quantités finies; par JL Lagnuige.
Page 32 - Les plus grandes âmes sont capables des plus grands vices aussi bien que des plus grandes vertus ; et ceux qui ne marchent que fort lentement peuvent avancer beaucoup davantage , s'ils suivent toujours le droit chemin, que ne font ceux qui courent et qui s'en éloignent.
Page 6 - WHEN I wrote my treatise about our system, I had an eye upon such principles as might work with considering men for the belief of a Deity ; and nothing can rejoice me more than to find it useful for that purpose.
Page 5 - To make an estimate, what might be the degree of this diminution, he considered with himself, that if the moon be retained in her orbit by the force of gravity, no doubt the primary planets are carried round the sun by the like power. And by comparing the periods of the several planets with their distances from the sun, he found, that if any power like gravity held them in their courses, its strength must decrease in the duplicate proportion of the increase of distance.
Page 59 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.