# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0331 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0331?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 151, page id 1677894601:0331 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=331 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000331.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.93 # 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. (IBF Si tres radices sunt aequales, NNOduS vertCtE in Fis. 41. cuspidem acutissimum in vertice anguineae. Fit haec est species tricesima quinta. Si c tribus radicibus ejusdem signi duae maximae Fis. 43. AP B A _ Tibi mutuo aequantur, Oralis in punctum eranuit. Ouae Species est tricesima sexta. Si radices duae quaeris imaginariae Cunt, Pola na- nebit Anguinea pura linc Ovali, decussatione, cus Pide vel puncto conjugato. Si Anguinea illa nOn Fis. 42. transit per punctum A species est tricelima septima, Cin transit per punctum illud A (id quod contingit Fis. 43. ubi termini b ac d detunt,) punctum illud A erit centrum fisurae rectas omnes per iptum ductas de ad Curram utrinq; terminatas bilecans. Et haeC est species tricesima octava. In altero casu ubi terminus ey deest d propterea Rioura Diametrum habet, E aequationis hujus aX =bXX ] CX F d radices omnes AY, A F, A T, Punt ametrum haben- reales, inaequales e ejuldem signi, figura erit HIyper- bola Conchoidalis cum Ovali ad convexitatem. Oux est speciestricelima nona. es Fis. 45. Si duae radices sunt inaequales _ ejuldem signi e Fis. 44. tertia est Ceni contrarii, Ovalis jacebit ad concari- tatem Conchoidalis. Fstq; Species quadrasetima. Si radices duae minores AT, AL, Tunt aequales Fis. 46. _ tertia Ar est ejusdem signi, Oralis e Conchoi- dalis junsentur sese decullando in modum NVodi. Duae species est quadrasetima prima. Si tres radices unt aequales, Nodus mutabitur in Fis. 47. Cuspidem et tsura erit Cissois Veterum. Et haec est species quadragesima secunda. XX. ser dolae sep.