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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 114, page id 1032977698:0136
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EI A.
Analysis Infinitorum.
PEZiUm D
C AF. IL.
4. Ilinc, Posita y ad locum curvae cujusli
Der, crunt omnia je aqualia spatio curvilineo
quaestro: Inde directe hoc theorema: I axis fir.
Fa AO diridatur in parces infininitelinas x9uales
dut inaequales S, SR ecc. ec ad insula divisio
num puncta elerentur applicatae sB, RC, 9D.
quarum sinsulae parre infiniresima DML, CH, XC.
preximant excedune; erune omnia rectansula ex
singulis applicatis in sinculas infiniretimas simul
Cumca, scu omnia y e, 2qualia curvilinco
AO F A.
5. Si vero tuliret F P: y, unde D 9:
 - a
exceris ut supra, Forer idem traperium DO)PF
aequale rectansulo 2 9 P F aequale rectansulo
 QP F scu ye, juxta modo tradita. OUX
ec in fguris vertus axem A0 convexis obri-
BCNE.
6. Ouin _ hinc lequitur; Fis. X XVII. EI fuerine
duo Epatia AOF, AOC, in eadem alcirudine A0
Bolca, Factisque applicatis, D: γ, R: Xy
ec in utraque q P infinitelim à semper aequa li: e;
primum sparium equari omn. ye, e secundum
Omo. 2 e: quare primum ad sccundum, uc
OMm. y e ad Omn. ZC; ec (diritis rectansulis
per aegualem alcitudinem e) ut omniay adom
niaZ; hoc est ut cumma applicatarum in prima
ad Cummum applicararum in socunda fgura.
. HuIC,