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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 29, page id 824573315:0049
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=49
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.88
# 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.

C AP. 90
 semicircnli.
neg; tamen porekncsaroess, uccunq; muolciplicaeus, vel mi-
snimum excedere rectilincum, quia inimus rectilinenr porete
BC
irreconciliabiles. Ec quidem cso idem prortus sencio; nempe, 
acuacur angulum contactiis veram anculi quanticarem habe.
ee, detiniciones illas duas simul ese veras non pote: AC, _
concedatur, ansulum illum reram ansuli quancicatem nonhau
bere, Ced esse ansulum cancummodo imasinariums neqi intee
Se puonabune detinitiones illae, neq: cum 16C 3 aUC I C 1O, auE
cum alia quavis quam vel apud E uclidem rel Archimedem (ne
plures nominem) ulpiam exstare lcio.
C A P. IX.
Treumentum rertium; ab aequalibus similium scementorum
anculis desumprum.
Eguicur aliud Pelecarii areumentum examinandum. TIud
averohuic l emmaciinnicicur. nempe. anculos similium ses-
mento um, salrem semicirculorum, eff. aequales. C ujus Lemmacis reri-
eacem mox examinabimus lncerim, ce quasiconcetto, haec in-
de deducie Pelccarius Theoremata.
2. Contactus cireulorum inrerior, quantitas non est. Nam A Cem-
circulorum anguli C AB, C. AF,
sinc aequales, comcactus incerioe
DAE quancicas non erie, guniam
sivc addacuE SIVC AU CEREUI qarEI.
EACCM AACAML NON LMWMICBLAE.
2. Conractus linee rectae cum cireulo,
quantitas nen est. Nom si anoulus
I A P Cit quancicas, paeccehabebie,
ideoq. diricibilis eric nem pe vel pex
rectam ne P A, quodheri non posse
oltendic P iclid 5 26 C3: vel ial-
Eem per curram puca P. A circum-
Ferenciam maio is circult. uri ponie
C lorius; Ped neq per hanc, quia.
Cd A P. Bon CA qLANEIEES, HC Jam O-
tenlum eA: Sccineq; per aliam curram, qua non sit periphe