# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0152 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0152?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 76v, page id 00068126:0152 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=152 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000152.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 31 lines, status machine # Lines: 31 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. omnia enim utrobique proportionalia per 5. Ergo (per2b et componendo rationem CY ad RC, et RC ad 40 Sit (28V0) CY ad F0 ut dimid. 0∞ ad A -2- X W vel (29) quia A - X V (per 8) est ad F0ut F0 ad analogia ergo componendo rationem posterioram aticattu articuli z9 cum ratione priore analogica estalogi aat artic: 28 et vicissim priorem illuis cumposteriore huju fit (30 mo) CY ad Al2 ut dimid. 0∞ ad FO Itaque quia A2 et FO sunt constantes, erunt (31 mo) abscissa ex axe inde a centro, ipsis 0e differen tiis distantiarum puncti Ellipseos a duobus focis, proporti incrementa nales. Jam (3210) incresimenta vel decrementa difserentia rum intendistatias a focis, seu ipsarum ox incrementa ipsarum 03 M distantiarum ab alteruteto foce seu crementa sive velocitates quibus isisae 0∞ magnitadi nem mutant sunt duplae velocitatum quibus eam mutants hoc est cresunt vel decrescunt) ipsae 03M. Ergo 22tio) crementa (hoc est incrementa vel decrementa abscissarum CY sunt proportionalia crementii radiorum 7 Z M ex foco eduerorum Seu (34+0) velocitates quib punctum 3 M an ellipsi motum distantiam mutat ab aac conjugato Be proportionales sunt velocitatibus quibus distantiam mutat ab alterutro foco C. quae quidem cturo clcccte rum Elliptier proprietates memorabiles melius intellige ren tur