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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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2F2 Analysis Infinitorum.
CAP.ITI.
seuomnia s aequale plano curvilinco H NL,
Scu omnibuS 22.
5. 36. Similia plura transmutationum spe-
cimmia sibi quilibet pro arbitrio cudet; retentis
enim lincarum nominibus, Rac 4b Z = yy sei
2 = 2b2; adeoque crlindricus in ba(I H N L,
cujus altitudo b, aequalis unoulae semiqua-
deantali in ba(I F K C Per FC relectae; quod
y yc
2 b Z0
Factis 2r = r ad solida rotunda referri in
modum peaecedentium porest.
Coroll. T. Ponatur y ad semicirculum, exit
YV. = 2Y ∞ = X X = 4bZ; C lOcuS ipCIUS Z 2d
curvam, cujus spatium juxta COr. IV. 5. IIC ap.
praec. est quadrabile, nam, Facto 4b = r, erie
X
2X = r = Z; adcoq. Cylindricus in baAZNP
cubationem admittie, qui aequalis est unsulx
exlindrici in basi Pemicirculari per diametrum
Teminormaliter relectae, unde et haec ungula
cubari porest.
5. 37. Afinis hisce eAt methodus, qua (0)
vitur hoc problema, datis FIE. LXV, duobus
spatiis, AFO _ AOM, invenire duo solida
in ratione hacum Figurarum.
Factis D 9: y, dc 5: Z, crit spatium
AFO ad epatium AOM, uc omnia y ad om-
n12