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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 246, page id 1032977698:0268
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246
Analysis Insinitorum.
CAP. V.
unde tandem orrx = 2y, quX CuEVE AD F
requatio quaelita cA.
Duod autem ex hoc aequatione rurtum pro-
2 93
deat ZO seu F =. 3er jam abunde notum est.
Neque hone methodum semper obtinere mo-
do modo omnia Z a seu spatium F KO qua.
deabile sic, ulteriori demonstrationum apparatu
indiget.
5. 20. Alia curvarum longitudines explo-
randi methodus hOc nititme FUndaMeHEO; quod
Scilicet, FIZ. L XXVZTL. IntCSVATanSeNS B F SIE
requalis omnibus u F omnibus a, hoc cA CuevX
ADF + omnibusa, uti 5. 6. N. IV. demon-
Aratum FuIt. Onde, quia data curvâ AD F
datur tansens B F, F darentur omnia 2, dd-
rentur omnia e scu lonsitudo currX.
Srergo indasentur omniaa (vocatis, TD: 5,
T9: t, D 8
y, intinitesimis 9P: C, EO=
F.D: W, BT: Y, BC: n,) quia TC CA HOPIA-
lis ipsi BF, est BF: BP:: BT: BC; hoc cA
5+ 1 F 2: F + e + V:: 1. 2: guare, rejectis reji
ciendis, ACt 5a = FI; Unde 5: t: : V: X, SIF HOC
Ut dererminata r ad Z, Crit rn = Z 1.
Onde polira Z in ZG, dOnCC FORMCtE CUI=
vilineum AF B; exit hoc aequale omnibus 21
Omn. 2
quod requale est omnibus rn, undedur
Spat.