# Leibniz Legible — https://leibnizlegible.com
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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 31, page id 824573315:0051
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.92
# 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.

 L L. G
ex semicirenli.
Accamen, C contra, E Fsurae dux ica sine consticura, uc in il
lis rectae omnes limiliter Posrae, sinc (respectire Tumpta) pro-
Porcionales, quomodocunq; ducantur; eorum lacera e ansis
los omnes similicer polica esse, quis dubitarer: Nisi enim simi
lis eser linearum inter (e (Icus acq; curratura (sed in hac an
culi acuriores, et major Hexuum curvatura, in illa lecus) im-
Doslibile cAt, ut inscripea in una tigura, proxortionales sine simi-
licer Inleripiis in rcliqua: uc per se videtur Caeis manifectum
viro Machemarico. AC vero in lemicirculis omnibus, (aut exi-
am Cermeneis aliis quibulcunq; similibus, rectae similicer in
Ceripx lunc inter le proporcionales; e quidem, proporciona-
lium Cubcentarum, Timileo arcus iune etiam peODOrEIONR
les; uc Machemacicis omnibus es nocistimam: Ideoq; ec similes
in omnibus curraturas, E angulos aquales, videcur omniro
dicendum esfe.
Non ignoro quidem Euclidem alicer sigerras similes rectili
neas, alicer similia circulorum sermenca detinivisse. Nempe
Similes fieurae rectilineae definiuntur, quae aneulos sixillatim aquales ha-
beni, es lalera quae circa agnales aneulos proporrionalia. 1 d6. Similia
vero circalorum seementa dehinie, non quidem ex aqualitace anou-
lorum quos habent. Ccd gnos capium: 20 d 3. Non quas similium
seementorum anguli essene inaquales; sed quonium, ubi poltea
de Similicudine scgmeneorum axendum ettet, Facilius eset
quancicatem ansuli in Cegmiento, quam anguli lcxmenei, de-
monstrare.
Ec quidem certissimum eRt; Euelidem ea nemieu definicieni-
bus interere, non semper qux reinacuram incimius spectent, led
quae sccucuris demonstracionibus melius subserriane, Exsempli
gracia. In ulc. deF. Primi, definiinr Parallelilmus rectarum, ex
non concurrentia, quamvis infinite mrinq. producantur; quod quidem
in lincis rectis eiusd n. plani, Cac infallibile cA cricerium paral.
lelilmi: hoc aurem nernecor prae aliis sclesit, uccomeliiis in-
Terriret ca detinirio ciemenstentioni Frop. 27 cr ubi primode
Parallelismo agendum: cRcc. AC interim nemo dubitare pote
ric, quin equalis ulique ab irvicem distantia intimius spectet paral-
lelismi nacuram, licec ivlius propolico nimis Forcasse conveni-
rec. Nam cercissimum cA, mulca non. concurrentia non camen elle
parallela, uc liquee ex rectienon in eodem plano, item ex cir-
culis qui ica duci poltunc, urneq; sine ccnconirici, neqi camen Ce
mucue