# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0332 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0332?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 152, page id 1677894601:0332 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=332 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000332.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.89 # 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. s 152 Si radices duxe majores sunt aequales, e tertia est ejuldem tigni, Conchoidalis habebit punctum conju- satum ad conrexitatem luam, estq; species quadra- gelima tertia. Si radices duae sunt aequales Xt tertia est tioni cont trarii Conchoidalis habebit punctum conjusatum ad concaritatem luam, eAq; species quadraselima Quarta. Si radices duxe sunt impossibiles habebitur COn- choidalis pura line Orali, Nodo, Cuspide ret puncto conjusato. Ouae lpecies est quadraselima quinta. SiguandO in primO RGUATIOMLII CALU TermInUS a X3 rem Parabolicae Clees e terminus bZ X non deest, Figura erit II)- Diametrum non Perbola Parabolica duo habens crura Lly perbolica ad Unam Alymptoton SAC X duo Parabolica in pla- sam unam e eandem conversentia. Si terminus ex non decst figura nullam habebit diametrum, Cin dees habebit unicam. In priori casu species sunt Mae. Si tres radices AP, A w AX aequationis hujus bX3 ] CZ -] dX ] : ce =0 unt inaequales X ejuldem sioni, figura constabit ex Ovali X aliis duabus C urvis quae partim FTrperbolicae lunt a partim Parabolicae. Nempe crura Parabolica continuo ductu junguntur cruribus IEyperbolicis sibi proximis. Fit haec est species quadregelima lexta. Si radices duae minores unt aequales de tertia est ejusdem Pioni, Oralis dc una Currarum illarum yperbolo. Parabolicarum junguntur X se decustant in tormam NVodi. Oux species est quadrasesi.ni Sepeima. Fig. 49 i 48 15. 48, 45 i Tsyperbola sep- habentes.