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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 9, page id 1032977698:0031
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=31
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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13
E F M MI AT A.
inrrediatur currx cujulris particula omni data
minor, ut AC, posse ejus loco substitui
vel ipsius Cubtensam AC, vel tangCNTEM A K
hinc currula respondentem; urpote quarum
Omnium differentia nulla elt.
28. PInCCLM P CE CVEVa ABD, FIG. TV,
ita ad se invicem referantur, ut ductis PA,
PD, ad curram, omnes déinceps rectae a pun-
eto P verTOS CUrram ABD projectx ab A
VertuS D perperuo creseant, aut laltem non de-
cresCANE; Si ducatuE A C, curvam tangens in
A, item P B ipCam A G sCCanS inS, C curvam
in B; Dicoprimo, AS Foremajorem, quam
A B.
Demonstr. Cum P B Ac maior recta P A, erit
anrulus P A B major angulOPBA, (T. 18: FiuCI.)
sed angutus PBF (I. 32: FuCL.) MaiOE P AB;
ergo idem PBF, scu iphi ad verticem Oppos-
tuS A BS multo major ipso PB A, hoc CA
(I. 32, Cucl.) ABS multo major Cumma angu-
lorum B AS _ ASB; ergo in triansulo ABS,
erit A BS angulorum maximus; quare, (l: 29.
FucL.) ASmaior ipsd AB.
29. Secundo, manentibus iisdem, s FIs. IV.
ex B ducatur B L ipsi P C aequidictans, diCO AI.
Foremaiorem, quam A5.
Demonstr. AnguluS A F O (I: 32. FUCI.) Ma-
Jor Ansulo PBF et huic ad verticem
A
OpPO