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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 5, page id 824573315:0025
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=25
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

e semicirenti.
eane.
cic, Ced Came abmel, live quod ipsi Forlan vix consicerit quid
crac dicendum, sive quod non precto tueric demonttratio qua
Iuam Pencentium contirmer. Scd de receres (quod (ciam) om-
nes (praerer unum Proclum) ea de re prortus cacent.
Non diffuceor quidem Recenciorum aliguoe, maxnos viros.
e ea veceribus Forrasse nonnullor (Calcem Proclum) de anou-
Jo concactus ica loquucos esse, achi haberec ansuli quancitatem;
edcog; dc anxulo Cemicirculi canquam minori quam estanou-
lus rectus rectilincus. Sed argumencis hac in re agendum cA,
non auchoricacibus: praefereim cum ex veccribus nemo, quod
Sciam, quidquam hac in re demonstra DC repercus HE.
C AP. ITI.
Aneuli Plani natura e definitio explicantura
e igitur controrersem incimius apprediar, inchoan
dum etica dacuta aneuli plani; quem Kuclides sc detinde
8d2.  Anculus planus est murua. axtors, seu inclinario, duarum. Unea-
rum in plano seso rancenrium (an JeuErcor) es non indirectum posita
C rW.
Peletarius, hane detnicionem paulo immecaram mallet; ur
nempe de linearum muruo sele secontium concurtu rancum incel-
ligatur. Verum nulla necessicas coeic hujuimodi mucationem
heri. Onamvis enim, jusca Pelccarium, Colas illas lincas angu-
lum concinere, dicendum sc, quae, Si producaneur, le muruo
Eccabunc: non eamen minus verumerie, juxca cadem principia
caldem Poluim lincas mumuo inclinacas Concurrerc: quae enim
Tuadene, circumterenciam cum recta concingence aneulum non
concinere; cacem eriam luadebune, has lineas mucuo inclinacas
non cse: Ita mnon lic opus, ob hanc sencenciam, Fuclidis de
Anicionem mucare.
In Fuclidis vero detinicione, nocandum eAprimo, duarum
linearum muruam enior, scu inclinationem ad invicem, re-
quiri. Idcbq. tiqua linca concurrane, nec ramen inclineneur
ad inricem, ansulum nor constituene, quia nempe angulus, ex
detinicione, elt linearum mucua inclinario.
Deinde rero, non quaeris lincarum inclinacio, Angulus dici
cur: sed lincarum concurrencium, sire se mucuo cangenei
um