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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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288
Analysis Infinitorum. C AP. IX.
erit quantitas infinitesima. Demonstratio ex is,
quae scholio generali teadica lunt; Facillime con-
segnitur; sit enim a = m, ec e = im, est e
= bm. Ceuinfinicesima pars ipCIUS B.
5. 4. Relumta jam modo inventa requatio
rac = X a c= y a a diridatur per e, FCEr a = X d
a a
= C3 QUATC FIG. L XXXVII. VOCatIS A 9: X,
QM: I, DHI: C, HF: a, MNI: 0, BD: pu IN
tex intinitesimas hoc modo quaeratur lincola ipsi
2 a
e respondens; cum (IE BHI: H F: HIF: FIF.
(eu p + C: a:: 4: a exit (ob ip(IS uu Peu BD juX.
ta lemm. AF. BullItatCM)
a a
e = n = FIF; adco
que ra = ∞ a = y 2; sed F HI: HT:: F P: P N.
TCu a: 2: y + a : : l = e +0, Quare, rejectis per
lemir. 10. rejectaneis, ya = l a, jux ad xqu2
tionem modo inrentam applicata dabic p-- ∞ -
P QM, Ut decet. PONet aequatio re =X C
= y a per plures intinicesimas multiplicari, unde
aliarum lincarum determinabilium magnitudo
innotelceret. Cum aurem inter mox secuturaq
Plurima huc spectantia reperiantur, Poterunt in-
de Peti, gua hujuscheorematis illustratiori ex
empla inserviunt.
5. 5. TII. Lquationes insinicelimales, ma-
HCI-