Elementary algebra: with brief notices of its historyLongmans & Company, 1879 - Algebra |
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Page 1
... Newton was led to give to it the title of " Universal Arithmetic . " This designation suggests a more correct idea of its nature than the in- adequate name handed down by tradition . Besides , it appears calculated to lead the student ...
... Newton was led to give to it the title of " Universal Arithmetic . " This designation suggests a more correct idea of its nature than the in- adequate name handed down by tradition . Besides , it appears calculated to lead the student ...
Page 35
... Newton , and were first printed in 1704 , at the end of his Treatise on Optics , under the title of " Tractatus duo de Speciebus et Magnitudine Figurarum Curvilineorum . " The curves of the fourth order , which are numerous , have not ...
... Newton , and were first printed in 1704 , at the end of his Treatise on Optics , under the title of " Tractatus duo de Speciebus et Magnitudine Figurarum Curvilineorum . " The curves of the fourth order , which are numerous , have not ...
Page 36
... Newton , and tables of the coefficients of the second , third , fourth , & c . , powers had been found and arranged by several writers . There is one of them which , on account of its various applications , can scarcely fail of being ...
... Newton , and tables of the coefficients of the second , third , fourth , & c . , powers had been found and arranged by several writers . There is one of them which , on account of its various applications , can scarcely fail of being ...
Page 43
... Newton reduced all the cases into one , and gave a general demonstration by means of an indefinite index . Dr. Wallis was the first who developed the principles of circu- lating decimals . The subject is treated in the eighty - ninth ...
... Newton reduced all the cases into one , and gave a general demonstration by means of an indefinite index . Dr. Wallis was the first who developed the principles of circu- lating decimals . The subject is treated in the eighty - ninth ...
Page
... Newton was orginally composed and delivered in his lectures as Lucasian Professor at Cambridge between the years 1669 and 1702. Mr. Whiston , who succeeded to the Lucasian Professorship , " thought it a pity so able and useful a work ...
... Newton was orginally composed and delivered in his lectures as Lucasian Professor at Cambridge between the years 1669 and 1702. Mr. Whiston , who succeeded to the Lucasian Professorship , " thought it a pity so able and useful a work ...
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Elementary Algebra: With Brief Notices of Its History, Volumes 1-12 Robert Potts No preview available - 2016 |
Common terms and phrases
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
Popular passages
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.