Elementary algebra: with brief notices of its historyLongmans & Company, 1879 |
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Page 5
... fourth century of the Christian era . Few facts are known of his history . An epitaph on Diophantus is found in the third book of 1 In the year 1570 , Sir H. Billingsley published a translation of Euclid's Elements in folio , with a ...
... fourth century of the Christian era . Few facts are known of his history . An epitaph on Diophantus is found in the third book of 1 In the year 1570 , Sir H. Billingsley published a translation of Euclid's Elements in folio , with a ...
Page 7
... fourth book is shown how to form the third power of a binomial , and in the sixth book the fourth power . Diophantus calls a positive quantity raplis ( substance ) and a negative quantity M ( defect or want ) , and employs a de ...
... fourth book is shown how to form the third power of a binomial , and in the sixth book the fourth power . Diophantus calls a positive quantity raplis ( substance ) and a negative quantity M ( defect or want ) , and employs a de ...
Page 8
... fourth book , forty - six on cubes and squares ; the fifth , twenty - three on square and cube num- bers , and some involving numbers in geometrical progression . To these the editor has added upwards of forty questions from the Greek ...
... fourth book , forty - six on cubes and squares ; the fifth , twenty - three on square and cube num- bers , and some involving numbers in geometrical progression . To these the editor has added upwards of forty questions from the Greek ...
Page 9
... fourth century , there appear no names of great eminence who advanced the knowledge of the sciences . The dreams and subtleties of the later Platonists appear to have ab- sorbed the attention both of the philosophers and their disciples ...
... fourth century , there appear no names of great eminence who advanced the knowledge of the sciences . The dreams and subtleties of the later Platonists appear to have ab- sorbed the attention both of the philosophers and their disciples ...
Page 29
... fourth term is the sum of the products of the different threes that can be taken among the roots , therefore , when each root is unity , the product of each three will be unity , and therefore every unit in the fourth will show a ...
... fourth term is the sum of the products of the different threes that can be taken among the roots , therefore , when each root is unity , the product of each three will be unity , and therefore every unit in the fourth will show a ...
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.