Elementary algebra: with brief notices of its historyLongmans & Company, 1879 - Algebra |
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Page 1
... writing was invented . A comparison of the written names of numbers found in the records of ancient nations may lead ... writings , known at present , which afford the needful assistance . The art of denoting and naming numbers , in some ...
... writing was invented . A comparison of the written names of numbers found in the records of ancient nations may lead ... writings , known at present , which afford the needful assistance . The art of denoting and naming numbers , in some ...
Page 4
... , pp . 1-4 , where has been explained and exemplified how any given multitude of pebbles or other objects can be divided into groups , and named and recorded . tific writings have descended to modern times . His chief 4.
... , pp . 1-4 , where has been explained and exemplified how any given multitude of pebbles or other objects can be divided into groups , and named and recorded . tific writings have descended to modern times . His chief 4.
Page 5
... writings any remains exist , had been students at the school of Alexandria . Of those who directed their attention to numbers , Archimedes of Syracuse , who lived between B.C. 287 and 212 , improved and extended the Greek numerical ...
... writings any remains exist , had been students at the school of Alexandria . Of those who directed their attention to numbers , Archimedes of Syracuse , who lived between B.C. 287 and 212 , improved and extended the Greek numerical ...
Page 6
... writings of an earlier date on the Greek arithmetic of a similar nature . It consists of a large collection of questions , some of them of considerable diffi- culty , with ingenious solutions . The work contains the solution both of ...
... writings of an earlier date on the Greek arithmetic of a similar nature . It consists of a large collection of questions , some of them of considerable diffi- culty , with ingenious solutions . The work contains the solution both of ...
Page 8
... writings to have been a student of the laws of nature , as well as of the sciences . He understood the higher use of the mathematical sciences as an intellectual discipline , as will appear from the following extract from his writings ...
... writings to have been a student of the laws of nature , as well as of the sciences . He understood the higher use of the mathematical sciences as an intellectual discipline , as will appear from the following extract from his writings ...
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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.