# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0342 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0342?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 168v, page id 00068193:0342 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=342 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000342.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.82 # 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. Sect. IV. De Causa et effectu activis. Gravitas et conatus centritugus sunt comparabiles inter se, et datur conatus centrifugus gravitati aequalis, imo et superior, qui non sustinere tantum, sed et attollere gravia potest ad altitudinem quantam cunque Nempe (Fig. p7.) circa aumo AB rotetur tubus melina l tus CD surra infraq apertus, et infra maquam immersus; FO s 1 s mea vim concipere potert aqua tantam, (si modo satis ma gna sit longitudo CE, et velocitas rotationis) ut exciliat, por 1. D, modo 69 pars inclinata non nimis atta sit. Dicissim po test tanta esse altitudo ipsius ED, ut aqua assurgens vi impe tus concepti perveniat quidem aliquousque in tubo 2FD, non H C C 9 mon usque in D, sed tantummodi ad S; itaqi suspensa mane c bit aqua tritugus a tali circulationis celexitate ortus, gravitati in tat melinatione tubi aequalis. E sis etiam manifestum est sen amsi pars tubi inferior recta abestet) si conatus centrifugus gravitatem semel vineat sempor vincere eadem manente tubi iclinationo, et proinde continuata aequaliter circulatione aqua in eodem tubo elevatum iri ad attitudinem quantameunque cum quaevis pars aqua majorem habeat ascendendi quam desce dendi conatum. Unde non retent quanta ejus sit altitudo m fubo. GL Prop. 30. tentiam celeritatis, ut finitum ad infinitum. Sequitur e praecedenti prop. 2g. quia comparabilis ett cont tur centrifugo (per prop. 29.) enjus vim, mortuam ets ortet tetm dena con brac rem n tatio dem cuna Cum liti finu gni 126. acd As. desc 2C 1 te sin tino