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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
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et
2
de
CAD. VIII. Analysis Infinitorum.
rum se mutuo musciplicantium, differen
laled
Fiat X y = Z; quae superiori modo ad infini-
relimas reducta dabunt x y + y e F x a F a e = Z + H,
ac deletis aequalibus, tum X per lemm. 10. TC-
jectaneis, erit y e t x a = W; Peu juxta D. Lcib-
nitium y d x F x d y = d Z.
III. Ouaritur ipsius y seu indetermina
carum se mutuo diridentium, differentiale :
Fiat
y = Z, Cxit a = yZ, de postredactio.
nem ad intinitesimas es rejecta rejectanea e=
yu + Z a; unde POCTO y LOCO Z, e xquatIO
 C = X a
ne ad ut Ordinata, CMerGCF H = 97.
y d X - X d y
ex noratione difterentialium
y)
i de
lV. Ouxritur iplius y ad porestatem p crec
ex ditterentiale?
Fiac y = 2 qua ad intinitesimas reducta,
deletis juxta Cap. I. 5. 20. delendis, dabit
a = W, Teu py
dy = d 2.
S. 5. Sin autem quantitates indetermina
ras Fluentium nomine, iplas vero infinitesi-
mas suxiones, momenta, incrementa momen-
taBea