[ iS« ] 
“ tuor lineis ab euclide incepti, & ab apollo- 
* c nio continuati, non calculus, fed compofitio geo - 
“ metrica , qualem veteres quasrebant, in hoc co- 
“ xollario exhibetur.” That the words, <e non cal- 
“ cuius fed compofitio geometrical refer to des 
cartes’s prolix, algebraic folution of this Pro- 
blem, in his Geometry , p. 25 — 34, will, I believe, 
be readily granted by every one, that is acquainted 
with Sir isaac newton’s writings. 
Upon the whole, I humbly conceive, that Dr. 
Pemberton’s meaning, in the former paffage, 
might have been better exprefled in Latin, as 
follows: “ Saepius eos reprehendebat, qui res mere 
“ geometricas algebrai'cis rationibus tradlaviffent 3 
u et libro fuo de Algebra Arithmetic re Univerfalis 
44 titulum ponebat, adherens cartesium fuum de 
44 re eadem volumen infeite dixilfe Geometriam , 
44 in quo oftendit, quomodo h;e computationes fub- 
44 fidia elfe poffunt geometris ad inveniendum.” 
Which of thefe tranflations does mod juftly ex- 
prefs the fenfe of the original, may, I fuppofe, 
be fafely left to the judgement of every perfon 
that underftands both the languages. 
I would only add, that this miftake of cas- 
tillione, muft have been owing, either to in- 
advertence, or to his not being perfectly acquainted 
with the Englidh language 3 as he elfewhere ap- 
pears to have had the higheft veneration for Sir 
ISAAC NEWTON. 
This miftake may, to fome, appear trivial 3 but, 
in my apprehenlion, every circumftance, relative 
to fo illuftrious a character as that of Sir isaac 
NEWTON# 
