vom 28. October 1875. 589 



und somit seine neue Rechnung entdeckte, zu prüfen ob Newton 

 früher im Besitz des Algorithmus der Fluxionen war, zumal der 

 Verfasser des Gegenwärtigen, als er die Leibnizischen mathe- 

 matischen Schriften herausgab, gehindert wurde dieser Frage näher 

 zu treten. Der Kürze wegen sollen hier nur die Bemerkungen in 

 Betracht gezogen werden, mit denen Newton das letzte Schreiben 

 Leibnizens am 9. April 1716 begleitet hat. Dieselben enthalten 

 alles, was er zur Begründung seiner Ansprüche anzuführen ver- 

 mochte; i) weder Edleston (Correspondence of Sirlsaac New- 



^) Diese Bemerkungen Newton 's finden sich im Original in Jos. 

 Raphson's Schrift: The history of fluxions , London 1715, p. 111 — 119. 

 Da diese Schrift ziemlich selten ist, so will ich die betreifende Stelle hier 

 mittheilen: And am not I as good a Witness that I invented the Methods 

 of Series and Fluxions in the Year 1665, and improved them in the Year 

 1666; and that I still have in my Custody several Mathematical Papers 

 written in the Years 1664, 1665, and 1666, some of which happen to be 

 dated; and that in one of them dated the 13th of Novemb. 1665, the direct 

 Method of Fluxions is set down in these Words: 



Prob. An Equation being given, expressing the Relation of two or 

 more Lines x, y, z etc., described in the same time by two or more moving 

 Bodies A, B, C etc. to find the Relation of their Velocities p, q, r etc. 



Resolution. Set all the Termes on one side of the Equation, that they 



P 

 become equal to nothing. Multiply each Term by so many Times — as ä; 



X 



hath Dimensions in that Term. Secondly, Multiply eah Term by so many 

 Times — as ^ hath Dimensions in it. Thirdly, Multiply eah Term by so 



y 



T 



many Times — as 2 hath Dimensions in it etc. The some of all these 



Products shall be equal to nothing. Which Equation gives the Relation of 

 p, q, r etc. And that this Resolution is there illustrated with Examples, and 

 demonstrated, and applied to Problems about Tangents, and the Curvature of 

 Curves. And that in another Paper dated the 16th of May 166'€, a general 

 Method of resolving Problems by Motion, is set down in Seven Propositions, 

 the last of which is the same with the Problem contained in the afore said 

 Paper of the 13th of Novemb. 1665. And that in a small Tract written in 

 Novemb. 1666 the same Seven Propositions are set down again, and the 

 Seventh is improved by shewing how to proceed wilhout sticking at Frac- 

 tions or Sourds, or such Quantities as are now called Transcendent. And 



