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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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CAP. V.
Analysis Insinitorum.
aequalis spatio primo assumto AB6O dirilo per
 determinatam.
Coroll. T. Sit ABC0 traperium paraboli
CUM, _C ZZ = pr + rX, erit ff= YX, de
AXXO parabola, quae, juxta C ap. II. 5. II.
Cor. L, est menturabilis e requalis? Vr v = om-
nia fc. Cum autem sine omnia fe = ry, exic
rX = ry, d x = FYyy, quae eA Xqu2
TIO CUTVR ADFF.
Coroll. TI. TIOC notetur, cum CIE YW = ZC
in quaris curra, data omnium currilineorum
quadratura, verb. or. omnium z e, dari omnium
Currarum lonsitudinos sen omnia u.
5. 4. Ilunc in modum, adumto quolibet
omnium et valore, procedituI; Cx. SF. HIE W.
I: Aatque, (I Y seu OR Fig. XRAIX. Sit
quantitas mutabilis,
k
nn
L = r S CFLnE OMMIA
u  omnia 7, hoc cA, POsitO Z Continuo
in LML, spatium spatIUM FO K seu omnia
2a dirisum per determinatam r, ae quale OM
nibUS W PCACUIEVX ADF.
Ouin _C CUM SIE Z a = r W erit spatiUM FO K
requale rectansulo auoe, Fig. XL. CuIuS aL
terum latus a p cuera, alterum eo determina
EX r XGUaTUI.