Maclaurin's object was to found the doctrine of fluxions on geometrical demonstration, and thus to answer all objections to its method as being founded on false reasoning and full of mystery.
In the preface he states that the work was undertaken in consequence of the attack on the method of fluxions made by George Berkeley in 1734.
And yet, shyer than gravitation, less to be counted on than the fluxions of sun-dials, stealthier than the growth of a forest, are the footsteps of Christianity amongst the political workings of man.
The hour-hand of a watch, who can detect the separate fluxions of its advance?
And yet, shyer than gravitation, less to be counted than the fluxions of sun-dials, stealthier than the growth of a forest, are the footsteps of Christianity amongst the political workings of man.
With this system there is duality, or rather plurality, not only in the acts, but even in the me itself; because this me is an act, and acts follow like a series of fluxions developed to infinity.
The line, then, is an intellectual construction, and involves only the successive fluxionsof a point.
He was one of the group that introduced the modern continental notation of the calculus into England, replacing the cumbersome notation of Newton, passing from "the dotage of fluxions to the deism of the calculus.
Just as this note was going to press, a volume lately published by you was put into my hands, wherein you attempt to defend the fluxions and Principia of Newton.
Still, however, his method of fluxions was unknown, and still he did not publish it.
Some years later, when his method offluxions was published, another and a worse controversy arose--this time with Leibnitz, who had also independently invented the differential calculus.
B] The reference is obviously to what was afterwards known as the Method of Fluxions and Fluents.
Twenty-seven years of age, he entered upon his duties, having been in possession of the Calculus of Fluxionssince 1666, three years previously.
Some allege these to be the cataracts of heaven, which were all opened at Noah's flood: But I rather consider them to be those fluxions and eruptions said by Aristotle, in his book de Mundo, to happen in the sea.
Whirlpools and fluxions are caused of such other vehement motions, not only in the midst of the sea, but also in creeks and straits.
Whirlepooles, and fluxions are caused of such other vehement motions, not only in the middest of the sea, but also in creeks and streights.
But I thinke them rather to be such fluxions and eruptions as Aristotle in his booke de Mundo saith, to chance in the sea.
It differs from the method of fluxions in treating these differences as finite, instead of infinitely small, and is equivalent to the calculus of finite differences.
Less to be counted than the fluxions of sun dials.
His notation was that appropriate to the method of fluxions which he used.
Fluxions had been supplanted before they were introduced.
These methods and results are those which are to be found in the Methodus fluxionum; but the letter makes no mention of fluxions and fluents or of the characteristic notation.
In England the method of fluxions had to face similar attacks.
During the controversy Benjamin Robins gave an exceedingly clear explanation of Newton's theories of fluxions and of prime and ultimate ratios regarded as theories of limits.
By the aid of this method it is possible, as Newton knew, and as was afterwards seen by others, to found the calculus of fluxions on an irreproachable method of limits.
The anonymous reviewer said: "Instead of the Leibnitzian differences Newton uses and always has used fluxions .
In Great Britain it became a point of honour to use fluxionsand other Newtonian methods, while on the continent the notation of Leibnitz was universally adopted.
The way was now open, for the development of the Infinitesimal Calculus, the method of Fluxions of Newton, and the Differential and Integral Calculus of Leibnitz.
Though in his possession many years previously, Newton published nothing on Fluxions until 1704; the imperfect notation he employed retarded very much the application of his method.
And of the aforesaid fluxions there be other fluxions, which fluxions of fluxions are called second fluxions.
The method of Fluxions is the general key by help whereof the modern mathematicians unlock the secrets of Geometry, and consequently of Nature.
And the fluxions of these second fluxions are called third fluxions: and so on, fourth, fifth, sixth, etc.
In December 1816, Dealtry's Fluxions was bought for me, and I read it and understood it well.
The most resolute antigravitationist that ever lived might yet acknowledge his debt to Newton for the Method of Prime and Ultimate Ratios and the Principles of Fluxions by which Newton sought to establish gravitation.
At this time, the use of Differential Calculus was just prevailing over that of Fluxions (which I had learnt).
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "fluxions" in a variety of sentences. We hope that you will now be able to make sentences using this word.
