Elementary algebra: with brief notices of its historyLongmans & Company, 1879 - Algebra |
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Page 26
... greater than that can be assigned . The quotient therefore is indefinitely great , and is rightly · termed infinite . " Like quantities are denoted by the same colour , unlike by different colours . The multiplication of two like ...
... greater than that can be assigned . The quotient therefore is indefinitely great , and is rightly · termed infinite . " Like quantities are denoted by the same colour , unlike by different colours . The multiplication of two like ...
Page 10
... greater by one than that half . 4. To add the squares of the numbers in order ; add one to twice the last num- ber , and multiply a third of the sum by the sum of the numbers . 5. To find the sum of the cubes in succession ; take the ...
... greater by one than that half . 4. To add the squares of the numbers in order ; add one to twice the last num- ber , and multiply a third of the sum by the sum of the numbers . 5. To find the sum of the cubes in succession ; take the ...
Page 12
... greater part of their mathematical terminology , from the Arabs . The following extract from a short treatise on Algebra in 1 The reference to Euclid is contained in the solution of the question , " What right - angled triangle is that ...
... greater part of their mathematical terminology , from the Arabs . The following extract from a short treatise on Algebra in 1 The reference to Euclid is contained in the solution of the question , " What right - angled triangle is that ...
Page 13
... greater part of their mathematical terminology , from the Arabs . The following extract from a short treatise on Algebra in 1 The reference to Euclid is contained in the solution of the question , " What right - angled triangle is that ...
... greater part of their mathematical terminology , from the Arabs . The following extract from a short treatise on Algebra in 1 The reference to Euclid is contained in the solution of the question , " What right - angled triangle is that ...
Page 27
... greater above it , is greater than this remaine : and therefore that remaine is neglected as not of any moment . " treatment of quadratic equations he admits only positive roots , 27.
... greater above it , is greater than this remaine : and therefore that remaine is neglected as not of any moment . " treatment of quadratic equations he admits only positive roots , 27.
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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.