# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068160:0024 # Permalink to this reading: https://leibnizlegible.com/page/00068160:0024?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7 # Folio 12v, page id 00068160:0024 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068160&page=24 # Source image: https://digitale-sammlungen.gwlb.de/content/00068160/jpgs/default/00000024.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine # Lines: 26 recognised, mean confidence 0.87 # 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. ubi in casu simplicissimo, quando conatus gravitatis impresssas semper est aequalis e Ax recta AEN recta, quia FZ sunt ipsis AF proportionales se secus sicgstet, quomodo ipsae +Z seu ipsis proportionales C(A) Erescunt cum tempore nam i est pro cate gale un aucta prx ano vicinia centr no et distantia a centro ex relatione ad distantiam a centro po test haberi relatio ad distantiam tecmpus. licet intendum non nisi transcendenter: E. summa autem ipsarum tE se figura A + E dabit summem ipsarum (A sit AC. 39 perpendicularis ex AC in 2C +) 3C+A seu (C)Ge ex perp ex ((C) in ca) patet trianus. se c( (C) esse B(B) seu dx in at. seu __C) = C() seu elementum descensus in C19 jans 4 (C) est progressus circularis. Ergo elementum descensus is in ponnessum cacutar est ad pin progress. circintraelem. abscissam dx in at Elem. temp, seu ponges elementum descensus est ad elementum temporis seu progressus paralleli un elementum abscissaum sive purallali descotisus, adseu abscissori est ad elementam progressus cirdutaris. porro C(1) = C9 + 9(1). Ergo es seu sumum spatiorum disconsum perta summa descensuum est seq seu AP- BC 4A. Est autem 2s (C) (2) - C (() + C qu. seu A = ddt - ax- dy + du posito radium DC esse vocari v A supra autem habuium at quem intore tollendo habebitur ZX per x et y nam pt V haberi pt per A et y, et ita per haec et eorum differentios qua jam video quae sit vera ratao anc Methodum hobebitur X Z instituendi, in praecedentibus enim erratum fuit