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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 58, page id 727094130:0070
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=70
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000070.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.90
# 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.

26 d27
AH IuS.
N1. 3.
9 HIJu5.
Cheorema.
 et
Si cujusounque visibilis, sinculorum punctorum radii, ad parallelismum
reducantur: oculo radios parallelos recipienti, semper videbitur vist-
bilis imaco, eodem aneulo visorio; quo videtur visibile ex verrice
incidentiae tenis, vel speculi. Axparecq: imaeo infinite distans, es
presbytis distincta.
CTevisibile quodlibet A B, sire maceria radians, sive imago an-
a re, sirepost oculum; dummodo (r planum, cujus excrema
puncta A, X B: Reducancur singulorum punctorum racii, ad pa-
callelismum, lenre vel speculo C DC, cujus aris lic in plano cum
punctis A, B, Prano visibilis perpendicularis: ec ab extremis pun-
etis A, B, ad verricem incidentix D, ducancur racii AD, BD; e
ad verricem emertionis D, radii retracti AD, BD; quiresle-
Cteneur vel reFrangCnEuT in DF, DF. Dico oculum, radiosvis
bilis AB parallelos, incercipiencem, semper comprehendere illius
imaginem, per angulum visorium, aequalem angulo AD B. Sic enim
conerum oculi L, in eodem plano cum axe leneis, vel speculi, et
punctis exrremis A B; ad quod ducacur radius puncti B, nempe
GL, iph D F parallelus; icem radiuspuncti A, nempe CL, ip
D Fpanallelos; igicur quatuor ictae rectae, nimirum CL, OF, Cl
D E, elliciunc paraselogrammum, cujus anguli opvohei, EDF,
CFO, lunc aequales: FIt aurem angulus E D F, aequalis angulo
ADB; ergo e angulus C L. C, est aequalis angulo A D B, Ped Ocu-
dus in L, apprehendic imasinem vitibilis AB, per anculum vilori-
un C LC; quoriam puncta excrema AB, emircune radios, Faci
ences incenero oculi L, anigulum C L. 6, qui igicur aequalis est an-
gulo AD B, nimirum eodem angulo, quo videcur visibile, ex ver-
ciceincidentix lencis, vel speculi. Juod demonstrandum erat.
Apparet aurem intinire diltans, et prestycis diltineta, quoniam
unumquodque punctum radiat pacallele.