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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 47, page id 727094130:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=59
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000059.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.87
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

imaginis puncti B.
Si vero in uno pun-
CtOnON CONCUTFANE,
nullusdabitur, distin-
etus, e decertmina-
tus locus imaginis,
puncti vitibilis B.
Oux Ommia PATCNE
ex corollariis ad 29
Prop hujus: eodem
quoquemodo, inve.
mendus est lOcus
imaginis in Diop.
cricis.
l
f 
2
Si visibile millat radios parallelos, per Conoidem densiraris; erunt
apices penieillorum, sinculorum visibilis punctorum, in uno quam
proxime plano.
Cu Conois densearis A C B, cujussris C C producetur adto.
cum exteriorem M; ec per M ducacur Planum L. MN, cui
normalis lic C; M; dico onnes apices penicillorun, ex raciis in CO.
noide parallelis, genitorum, caclere quam proxime in planum L. M
NV. Sic enim unius penicilli aris CR H, vormaliter cadens in.
conoidis superficiem in puncto R, ex per axem conoidis, et axem
penicilli (qui lune in eodem plano) ducacur planum, Faciens cum
conoide, communem sectionem hyperbolam AC R B, ex qua oc-
neraCUE3 Cum PlonOverO L. M NI, rectam L MN; Q per pun-
Ctum R, ducatur una livea tangens hyperbolam, nempe, RO,
axi occurrens in O, alia vero P R, axi hyperbola parallela, quae re-
Eringetur in focum hyperbolx exceriorem M, seu apicem penicilli r4. Aujus.
racsiorum