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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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3
it
b.
id
C AP. I.
Analysis Infinitorum.
ad tangentem determinata + m Z im = F m Y m
=fhrm.
e Facto h = Y, aut e = m exit m q in = nY im
=frm, quX CUbTaNGENTEM Z D ipHIUS CUEVX
determinat.
Coroll. Y. Observetur hujus curvae subtangen-
tem + esse in omnibus currae punctis ejusdem
magnitudinis, aequario enim ipsiusvalorem ma-
nifectans, (ola F, quae quaeritur, exCCPId ex
quantitatibus, e, r, f. immurabilibus, ac bi
Per tocam curra lonsicudinem constantibus
CompOnitur.
Corolt. LL. Tum _ hoc notari mEreMIE, in-
X - 5
ventam modo aequationem q Er y este
currae Logarichmicae propriam; ac hujus opc ex
Facili inveniri, ex dato quidem numero logarich
mum, eec converlo.
Si enim FiaE AN CCu r = unitati, AF ECus
= 100307. item F 6 (CU 8 = 1O, CIOESEF
-= 100000 100000
Fc, cumunitaris ad quamlibet crectae pote.
ctatem non muretur valor, sedmancat cadem
dc sibi perpetuo constans unitas, 2deoque
X 100000
=unitati, inventa modo equario
cadem