# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1677894601:0335 # Permalink to this reading: https://leibnizlegible.com/page/1677894601:0335?run=74 # Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193) # Folio 155, page id 1677894601:0335 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=335 # Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000335.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. T1G5) e inaequales (nam aequales esse nequeunt nili Agura Fis. Si. sit Conica sectio) figura constabit ex tribus Hlyper- bolis libi oppolitis quarum una jacet inter alymp- totos parallelas et alterae duae jacent extra. ft haec est species quinquasetima septima. Si radices illae duae lunt impossibiles, habentur IIy- Derbola duae oppolitae extra asymptotos parallelas et Anguinea hyperbolica intra caldem. Hlaec figura duarum est specierum. Nam centrum non habet Fis. 62: ubi terminus d non deest; sed si terminus ille dec( 18. 63. punctum A est ejus centrum. Prior species est quin- quagesima octara, polterior quinquagelima nona. Duod E terminus ey deest, tigura constabit Cx Fis. 64 tribus hrperbolis oppolitis quarum una jacet inter aermptotos parallelas _ alterae duae jacent extra ut in specie quinquaselima quarta, et praeterea diame- trum habet quae est abscista AB. Ft haec est species Texagesima. TIrperbolismus Fllipseos per hanc aequationem de- XNIV. tinitur Xy y Y CY = CX ) d, e unicam habet aCymP Mps toton quae est Ordinata principalis Ad. Si terMInUS Fis. 65. eynon deect, tixura eAt Fyperbola anguinea sine dia- metro atq;e etiam sinc centro li terminus d non deest. Duae species est sexagelima prima. At Ei terminus d deest, tixura habet centrum sine Fis. 66. diametro e centrum ejus est punctum A. Species vero est lexaselima secunda. tt si terminus ey decst _ terminus d non decst, Fis. 67. Fisura est Conchoidalis ad atymptoton AC, habetq; diametrum sine centro, e diameter ejus est AbIciAa AB. Duae species cst lexagelima tertia. X Ll)det.