# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068144:0010 # Permalink to this reading: https://leibnizlegible.com/page/00068144:0010?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 19 # Folio 5v, page id 00068144:0010 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068144&page=10 # Source image: https://digitale-sammlungen.gwlb.de/content/00068144/jpgs/default/00000010.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 51 lines, status machine # Lines: 51 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. C ( ut o ex plicace facta, et de posita illa deinie pro conestante e prodeant duo tieubra tantum, sic, ut lic ducatur verbi gratia Z in (7. pernode enim hoc modo est ac si Z esset litr liter differentio- differentralis u in hac methodo latere solvendi modu einde verdet substituendo pro se invices inventa hoc modo relplionem inter detue q et aliud ferbi gintia D, habebitur denique modus et summandi aeu, seu mogmendi) Vilud in genere poto, uoties g problematis natura talis e 2C V it liceat ipsum investigare per et nulla habita ratione ipsarum v. 4que et col X et y, et ex, dy. semper cesito rem autem reduci ad quadraturat. id ergo n primis in problematibus sysicis fieri solet, ubi investigatio ab initio indvari sit prout quenit. sic si quaeratur linea ACC talis, ut grave in ea descendens aequabiliter recedat a puncto A. seu ut ipsaeAC sint temporibus proportionales e potest quaeri solutio non considerita perpendiculari et i Et cum respiciendi pespendicularem et horitontatem perplexa aequaid to diferentialis prodecd, nunc si possit oblneri aequatio consiverando solum Z et aZ et d. co, vel oda d vel f = ca.Z, id est angulum, ita ut detur aequatio inter 2, et D et c Z et du et _ manifestum est rem revocatam esse ad quadruturam uonim possumus i Et, si hoc procedit pro potesit assumi quali res genentitem tractari assumendo enum vancunus reratiinem inter, tempus et ip sapum AC cum temporibus; ut ita propositur quodcunu problema tamgentrum possimus revocare ad quadratoras consederando perinde ac si esset problena proc aliquod pro descensu gravium. Taut est problemaa piuris abstracta reducere a magis concleta ubi sese ex ipsis adjacensibus aperit via quae in abstrastis non apparat. itaque non semper itiis abstracto