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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 38, page id 824573315:0058
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=58
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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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# After the first blank line: the recognised lines in reading order, one per line.

De Aneulo contactns
. A P. X
Objectioni in contrarium respondetur.
AP. +X
Cod enim in concrarium ostendi Colee, Hel ancum cs
neulum Ec
n
circucoo, a c tulo mnorem
rideri quam cA an set a)OI CC quia 
nor peripheria inerorsum recedens amajoristarim rehilic, à
deog: parrem Tolummodo anguli P AC. ridecur abCcindere,
gua isitur coco minor erir: Pc quidem angusus contactiis (cum
linea recta LANGeNEC) F AP, cadem de causa minor viderur
quam ansulus contactus D AP, cum hujus crura masis ride.
antur diraricari ee ab invicem resilire.
Verum hoc, E recte perpendacur, nihit suadee in contrarium
corum quae a nobisproteruntur. Non enim magnicudo anguli
aectimanda cst ex ca quam habene cruea divaricatione extra
punccum concursus, sed ex ed quam habene in iplo concursus
puncto. Adcoq; ansulus F. A P minor est angulo FA P (per
26C3,) non quod illius crura minus diraricentur extra pun-
ctum contsctus, (nam E P, masis distant quam P, P.) Ced
propcerminorem inclinacionem, seu porius coincidentiam, li-
nearum PA, P A, in ipto puncto A. Inquam, in ipso punctoA:
Nam, quamvis, ue oscendit Euclides, inter rectam PA _ DC-
ripheriam P A, alia recta, uc F A, cadere non postics hoc cA
quae minorem habear inelinacionem ad rectam P’A quam ha-
becperipheria F. A: Accamen hoc de alio quoris puncto precer
iptum A dici non porekt; nullum enim aliud est punctum astig-
nabile in curra P. A incer quod e rectam P A non possic alia
recta