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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. II. Analysis Infinitorum.
circuli sectorem infinitesimum r ax, hoc est di-
midium sui, ob angulos in Y ec a rectOS, dC
LInCaTUI Ya _E CF, ItCm YX _ FC Xqua
litatem: quod si idem Aat in omnibus, crunt
omnia rectanoula CF F L, Scu Figura ABAO,
dupla omnium triangulorum er a seu Figura
involuFa =Bn.
2. Ouia exhrpothes CP = Y2, _ CD = y d.
crune, ob angulos in F ex a rectos, triansu-
La C F. D er ad similia e xqualia: Guarc pO-
lito ansulo rux recto, quia YE= F C, CPUNE
ec hilce similia triangula rXY ec Z FC similia
_ xgualia inter sC.
3. Sic de arcum se radio ne descriptum
axC AC minorem, arcum vero son radio po
deseriptum eodem axc majorem cNC ex PEX-
missis sponte AuIE.
Duo vero sequentia problemata Fundtamenti
loco caereris huc spectantibus substerni pol.
Tunt.
S. SI. Ouorum primum (E; ex data in-
voluta x Bn ejus evolutaM A B E G inve-
AITC.
Ad cujus problematis solutionem, (cum den-
TUE _n = GH, Xd = FD, XY = F C CX INVO-
LuEX NatuTa) reguiritur P O axis longitudo in
relpectu ad datam appI. CaTAM F C sCII XY; qua
hoc modo indagatur, (IF ru = Z F: Fy n y = FC: ),
Mt 2