Elementary algebra: with brief notices of its historyLongmans & Company, 1879 |
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Page 9
... considered it as possessing an essence separate from sensibles , and a transcendency fabricative , and at the same time paradigmatic . " After the end of the fourth century , there appear no names of great eminence who advanced the ...
... considered it as possessing an essence separate from sensibles , and a transcendency fabricative , and at the same time paradigmatic . " After the end of the fourth century , there appear no names of great eminence who advanced the ...
Page 20
... considered Aryabhatta to be at the head of the older writers on Algebra . His rule for the solution of quadratic equations by means of completing the square is given in the Section 131 of Mr. Cole- brooke's translation . Ranganatha ...
... considered Aryabhatta to be at the head of the older writers on Algebra . His rule for the solution of quadratic equations by means of completing the square is given in the Section 131 of Mr. Cole- brooke's translation . Ranganatha ...
Page 23
... considered of a contrary character to that which is not so marked . Crishna , a commentator on the Vija Ganita , gives the following illustrations of affirmative and negative quantities . Here negation is of three sorts , according to ...
... considered of a contrary character to that which is not so marked . Crishna , a commentator on the Vija Ganita , gives the following illustrations of affirmative and negative quantities . Here negation is of three sorts , according to ...
Page 24
... considered positive with regard to him ; and the contrary [ or negative quantity ] is that to which another person has the relation of owner . Hence , so much as belongs to Yajnyadatta in the wealth possessed by Devadatta , is negative ...
... considered positive with regard to him ; and the contrary [ or negative quantity ] is that to which another person has the relation of owner . Hence , so much as belongs to Yajnyadatta in the wealth possessed by Devadatta , is negative ...
Page 9
... considered by learned Mohammedans as the most scientific treatise on the subject . This work was translated into the Persian language about sixty years after the death of the author . Mr. Strachey has given , in the twelfth volume of ...
... considered by learned Mohammedans as the most scientific treatise on the subject . This work was translated into the Persian language about sixty years after the death of the author . Mr. Strachey has given , in the twelfth volume of ...
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.