( .|?8 ) 
The next Year Mr. Newtons Principle Philofophia came 
abroad, a Book full of fuch Problemes as Mr. Leibnitz had 
called difficillima & pulcherrima etiam mi (l* Mathefeos problem a- 
ta, qua fine calculo differential! aut S I M 1 LI non temere quifi 
quam pari facilitate tratfabit. And the Marquefs de V Hofpi - 
tal has reprefented this Book prejque tout de ce calcul ; compo- 
fed almoft wholly of this Calculus. And Mr. Leibnitz him- 
felf in a Letter to Mr. Newton, dated from Hannover , March 
} 7 1693, and Bill extant in his own Hand-writing, and up- 
on a late Occafion communicated to the Royal Society, ac- 
knowledged the fame thing in thefe Words : Mirifice ampli - 
averas GeometrUm tuis Seriebns, fed edito Principiorum opere 
cflendifii patere tibi etiam qua Analyfi recepta nonfubfunt. Cona- 
tus (urn ego quoqus, noth eommodis adhibith qua differential dr 
fummas ex hi be ant, Geometriam illam quam Tranfcendentem appello 
Anal)fi quod ammo do fubjicere, nec res male proceffit ; And again in 
his Anfwer to Mr. Patio, printed in the AfiaEruditorum of May 
1700.pag.z0i' lin.z 1. he acknowledged the fame thing, fn the 
fecond Lemma of the fecond Book of thefe Principles , the Ele- 
ments of this Calculus are demonflrated fynthetically, and 
at theEnd of the Lemma there is a Scholium in thefe Words. In 
Liter is qua mihl cum Geometra peritiffimo G. G.Leibnitio amis 
abhinc decern intercedebant, cum fignificarem me compotem effe me- 
thod! deter minandi Maximas & Minima /, ducendi Tangent es & 
fimtlia peragendi,qua in terminis furdis aque ac in rationales pra- 
cederet 5 dr liter is tranfpo/jtis hancfententiam involventibus [Data 
cequatione quotcunque fluentes quantitates involvente,fluxio- 
nes invenire, & vice verfa] eandem celarem : refcripfit Vir cla - 
rijfimus fe quoque in ejufmodi methodum incidiffe , & methodum 
fuam communicavit a me a vix ab Indent em prater quam in verborum 
<& not arum formulis. Utriufque fundamentum continetur ; in hoc 
Lemmate. fn thofe Letters, and in another dated* Decern. 10. 
1672, a Copy of which, at that time, was fent to Mi. Leibnitz 
by Mr. Oldenburgh , as is mentioned above, Mr. Newton had 
(b far explained his Method, that it was not difficult fop 
