( l?l } 
Jam anno 1675, faith he, compofitum babel am opufculum 
guadratura Arithmetic a ab amicis ab iUo tempore left um, fed quod , 
materia fub manibus crefcente, limare ad Editionem non vacavit, 
poftquam alia occupations fupervenere ; prafertim cum nunc pro - 
iixius exponere vulgari more qua Analyjis noftra paucis exbibet, 
non fatis opera pretium videatar. This Quadrature compofeci 
•vulgari more he began to communicate at Paris in the Year 
1 6 7 5. T he nextYear he was polifhing theDemonftration there- 
of, to fend it to Mr. Oldenburgh in Recompence for Mr. Newton s 
Method, as he wrote to him May 11.1676; and accor- 
dingly in his Letter of Augujlij. 1 676. he lent it compofed 
and polifhed vulgari more. The Winter following he return- 
ed into Germany, by England and Holland , to enter upon pu- 
blick Dufinefs, and had no longer any Lcifure to fit it for 
the Prefs, nor thought it afterwards worth his while to ex- 
plain thofe Things prolixly in the vulgar manner which his 
new Analyfis exhibited in fhort. He found out this new Ana - 
lyfts therefore after his Return into Germany, and by confe- 
quence not before the Year 1677. 
The fame is further manifeft by the following Confidera- 
tiort. Dr. Barrow publilhed his Method of Tangents in the 
Year 1670. Mr. Newton in his Letter dated December 10. 
1 671. communicated his Method of Tangents to Mr. Collins , 
and added : Hoc eft unum particulare vel Corollariumpotius Me • 
thodi gene rails, qu& extendit fe citra mole ft urn ullnm calculum, non 
mo do ad ducendum Tangent es ad quafvis Cur v as five Geometric as 
five Mechanicas , vel quomodocunque reft as Lineas aliafue Curvas 
rejpicientes ; verum etiam ad refolvendum alia abftru'fiora Proble - 
matum genera de Cnrvitatibus , Areis, Longitudinibus , Centric 
Gravitatis Curvarum, &o Neque (quemadmodum Huddenii 
methodus de Maximis & Minimis) ad folas reftringitur aquationes 
illas , qu£ quantitatibus furdis funt immunes. Hanc methodum 
inter texui alter i ifti qua AEquationum Exegeftn inftituo , reducen - 
do eas ad feries infinitas, Mr. Sluftus fent his Method of Tan- 
gents to Mr. Oldenburgh Jan. 17. 1677, and the fame was 
2. \i i fooa 
