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Elementary Algebra: With Brief Notices of Its History
<span dir=ltr>Robert Potts</span>
لا تتوفر معاينة - 2015
Algebra arithmetical means arithmetical progression arithmetical series becomes binomial Binomial Theorem biquadratic calculus coefficients common difference consist contains cube root cubic equation decimal denote the number determined digits divided dividend divisible Eliminate equal equation whose roots Euclid Euclid's Elements expression extraction factors find the number find the value fluxions four fourth fraction geometrical progression give given equation greater harmonical means Hence highest common divisor integer jebr least common multiple Leibnitz less letters mathematical means method method of fluxions multiplied natural numbers negative quantity Newton notation number of terms odd number positive integer proportion published quadratic equation quotient ratio reduced remainder respectively result second equation second term Shew shewn side signs solution Solve square numbers square root substituted subtraction surd symbols theorem things tion treatise unity unknown quantities volume
الصفحة 35 - This most beautiful system of the sun, planets, and comets could only proceed from the counsel and dominion of an intelligent and powerful Being.
الصفحة 36 - 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.
الصفحة 3 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when...
الصفحة 38 - 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.
الصفحة 34 - 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.
الصفحة 4 - ... if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
الصفحة 10 - 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.
الصفحة 9 - 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.