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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 259, page id 1032977698:0281
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CAP. VI. Analysis Infinitorum.
in bali ATO, E nimirum QZ siE continuo
= y, erit perpetuo h+:f in fe = :y in ye; hoc
elt juxta mechanicae theoremata.
Omnium fe scu trapeziorum SR F D MO.
menta ad axem AO aequalia momentis omnium
e leutrapeziorum P F F.  ad cundem axem.
Sic aurem planum currilincum AF6 = k =
omnia fe, eiusq. centri sravitatis Y distantia
ZY ab axc = l; nec non planum currilineum
S= omnia ve, ejusq. centri gravitatis
AZ= +
Vab eXC AO distantir NV = n; CTUHE, juX-
ta Thujus, omnia
2.
2h FC + F5e
2 = kl, e omnia
= 5n, adcog. 5n = k l.
Onde Cornita fGUIEX AG F MENSUrA, ejus
que centro rraviratis; e centro graritatis plani
ATO Cornoscitur plani AFO magnicdo.
Ouod si praecerea ad cundem axem applicetur
FISUITA AMO, SIEguC ZK =: g. dE FELNCUS in
planO AP C jam XqualiS RLAEIIatE nOn unSuIX
In AFO, uti MOx Factum PuIE, Sed FrunCO in
bali AAOM PeF AO resectO SemInOTMA-
liter, hoc eA, (I Fat seMPCF
297 0 + 99 e
2 Bfe +ffc
critergo h+; fin fe = y + ; g in
e: de T X distantia centrisravitatis x Figura
AHOM vOCata M, AC ip (d FIBUTa AHOM
sC