# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/727094130:0060
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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 48, page id 727094130:0060
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=60
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000060.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.83
# 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.

Or. 140
)S.
adi0-
D dat
Paralle.
Orum
aUCaTUT.
que ad
vertice
hyper-
bolx lI-
neaFC
ip(CII
Paralle-
Ia; quae
ideo 1
tringe-
cur ints
apicem
penicil.
liradiorum, ip( C Esparallelorum: _ quoniam angulus inciden-
fix GR P, elt aequalis angulo incidencix G C F, crie dc angulus
retractionis RM Ci, angulorefractionis G HIC aequalis: cruntq3
erianeula GC FI, OR M similia, eC uE
OR: GM :: GC: GH;
Ex ob similicudinem criangulorum ORO, OMP, uc
erBOUE
G R. SGM :: 6O: GT;
GC: 60:: GHI: GT; Si vero punctum R
non mulcum recedat a vercice Fyperbolx C,. (de quibus penicillis
nos tancum loquimur) GC ferme xegualis cric iph C7O: (uE Patis
nocum qui in conicis verlati Punc) ergo e GT, quam proxime
aqualis eric ip O H; axex igicur penicilsi E, quam proxime inci
dec in superticiem planam. L. M Y H; quod demontteure oporruic.