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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 128, page id 824573315:0340
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=340
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.85
# 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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# After the first blank line: the recognised lines in reading order, one per line.

arithmerica Infinitorum.
PrOD. 164, 165
PROP. CLZIV. CNoIl.
P Semissis Diametri Transversae auctus triente Di-
ametri Intercepta, ad Transversae et Intorcepta
aecreeatum; seu, ut Triplum Transversa simul
cum Duplo Interceptae, ad simul utriusq: sextuplum: sec est
Conoides vel Pyramidoides Fsyperbolicum, ad Cylindrum
vel Prisma (super eadem basi) circum scriptum.
Pacet ex PracedentE.
PROP. CLZV.
Corollarium.
Tem, Fyperbola ad Parallelogrammum circumserip.
tuv, est ut series Radicum. univer salium seriei Pri-
manorum serie secundanorum respective anitae, ad
feriem totidem Radicum maximae aequalium.
Nempe R adEC limitatio proD. 162, ur V: aR +2: + V:
BR+BC: tr: cR+ C~: _C. (ulq; ad V: R~ FR:) ad AV: R Y
R: =-AVAR =ARVS HoC CA, uc omnes ordinacim. 2p
plicacae ad maximam cories potcam.
Si vero illa limitacio non ad(c; Calcem CriE UEV: + L:
es
BT1b0.
ad AV:
L: +V.
OTtD
CT+c+
L: RC. (ul93 2dV:
T+D
-L: 7
q L: Hoc cA. (diridendo omnia per VL 
mulciplicando in vT) ac V. aTF22. + V: bT+b=: V: cT+C= _C.
(usque ad V: DTFD:) 2d AV: DXFDE: UE DRECC CX demon-
RracIORC PFOP. 1630
SCHOLIDM.
Acquo pactoscandem racio agxrepari radicum illarum uni-
verlalium, ad axereeacum cocidem maxime aequatium, nome
els explicari pocerie, non ita Facile obendetur.
Adeoq; _ hic incidimes in eandem difficulcatem in quadre-
aura Hyperbolx, quam cupra aliquories meminimus de qua-
deacarL