# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/727094130:0041 # Permalink to this reading: https://leibnizlegible.com/page/727094130:0041?run=74 # Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94) # Folio 29, page id 727094130:0041 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=41 # Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000041.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.91 # 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. Op. 19. Problema. Radios ex unico puncto dato diverrentes, ad parallelismum reducere, in eodem diaphano; datis quoque lentis vel speculi verricibus: Opor- tet antem, ut vertices lentis, es punctum divercentiae, sint in eadem recta linea. Oc Problema est convertum anrecedentis, eodem que modo Perticicur; uEPatet ex Prop. 9. lib. 10. Viellionis. Corollarium. Ex hoc etiam sequitur, radios divergences ab aliquo puncto circires E, heri Parallelos opelentis, vel speculi surradieti. FOp. 20. Problema. Radias parallelos; ad divercentiam in eodem diaphano a quocunque puncto dato reducere; datis quoque lentis, vel speculi verticibus: Oporiet tamen, ut recta per vertices, es diversentia punctum ductas sit radiis datis parallela. Catopiilb. Incraciiparalleli A A e c. ica refectehd, uc appareone diver- si e puncto B, Cirque data spe- culi vertex I. Ver- cice L, e FocoB, delcribacur specU- lum parabolicum CONVENUI MLR, incercipiens radios parallelOs AA e c. quos radios in su- perticiem ML R incidences, dico in ola