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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)
# Folio 174, page id 1032977698:0196
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+74
Analysis Infinitorum.
C AP. TI.
70 = r y = n, exit g = n = d = 2 c - p, JuXta
5. 46, adcoquC, 9= 2C - p + v.
Ec aequationem ad intesra curvilinca exten
dendo, crit x = 2r, ec hinc tum p tum n ni-
hilo aequalia; unde tandem: g = 2c, leu inte-
orum hoc currilincum est semicirculi duplums
quod 5. 16. Coroll. TTF. tum X 5. 25, alio pacto
pertangentes erictum est.
5. 49. Ouomodo vero haec ominia in 5. 10.
modum curris ad punctum  relatis applicari
queant, levi opera explicabo; cum enim sit Fio.
ZLVI. ContinuO ZD: 5, DO, J:: DF, W: F. II: a-
erit emper sa = y u: unde radiis, DO X F 9 duc-
tis arcubuS DF, FG, erit IG = as potitaque
TD seus, in YM, Crit FiguTa O F K ICuOM
nia sa aequalis Figurx quno seu omnibus
yu, Fig. XLVII. in qua Fis. 948 recta g0 sup-
Polita cA aequalis curva expOlITa ODE F, ita
UE D I: TIL aequalis se seu u, ac applicatae du,
an, CUInE _equaleS rECtIS DC, F. ICu V.
Duoniam vero tor continentur in recta O F
infinitesima ut YO = HI F scu a, quot in C ur-
va ODF. F infinitesimae D F; vel, quod con
dem redit, quot in recta g0 (qua cum curra
D F eadem esse supponitur) infinitelima
de
s CCu Wt, VocatIS d: Z, _ TM: h, Facto-
que Temper ha =Zu, Figura Q F R Icu Om-
nia h a, aequalis erit spatio ge 0 seu tori
dem ZU.
OUaTC