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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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2
C AP. II. Analysis Infinitorum.
32. Repetitis FIZ. XXIL. ac C ap. I. 5. 78
Ermbolis; in axe A e producto alsumatur pun-
ctum aliquod fixum W, unde ad prolonsatas
FaNSenteS F B 3, F 25, ducantur perpendicu-
lares N 3, N5, appellatique AW: Y, W5: k,
CFIE W Z = p + x = +; tum ec 4, 5, crie infinite
lima quX VocetUE: u unde N 3 = k - 1 = W 4,
juxta lemma 36; _c ex hypoch. angulus F, 3, W.
elt rectus, quare triangula W 3B, _C EPB
une limilia, idcog. r + x - F - 1: k = p: : 5 = H
+ 2: Y + a, Under a= X a Y a- 7i = kW = 5 pu + k a,
quibus rectangulis, tanguam currilineorum in-
dicibus, infinities cumtis, juxta infinitesimarum
 imultitudinem; hinc _ inde naCcetur xe qualis
currilincorum summa; nec schemaca nec de
monstrationem addo, cum mox praegressa intel-
ligenti haec obscura eenequeant. Hoc adjunso,
puncta 3 ex 5, esse ad novam hinc generatam
curram 6, 3, 5, 7: Cujus relatio ad axem W A, S1
opuslic, exhiberi porest, mediante normali in
eundem demissa; rectula 3, 4, est infinitesima,
_c triansula W, 3, 4, dC E A- 5, lune similia, unde
alia denuo propultulant.
Sic resumtis Cap. I. 5. 7Or, ob magnam illic
indeterminatarum, infinitesimarumque copia,
nulla Fere ibi loci reperitur aequatio, qua vario-
rum currilineorum multitariam aequalitatem
aliaque srmtomata non inferat: rerum haec sut-
Ficiant.
33. O10