# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0338 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0338?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 166v, page id 00068193:0338 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=338 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000338.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.84 # 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. W. De Causa et Effertu activis. siderandum probe est multum inter esse inter vim cuercendi aerem DB vel DBC intra seatium in quo est compressus, et inter vim redigendi iprum intra hoc spatium; Illa est aqt lis pro magno aut parvo aere aequitento, haec non item. Nat ut aer ea statu ordinario AB redigeretur intra DB, opas descena hydrargyri ex attitudine AC; sed ut aer F BE red geretur intra spatium DBE. eodem, quo ante gradu compressu l nis, oportuit hydrargyrum descendere ea majori altitudine c FD. Coeterum si primo fuinet attitudo hydrargyri CD, set adhibito embolo pro hydrargyro) minus pondus embolo ims 0 situm, non potuisset. huo aer coerceri intra hoc spatium neque adeo haec obtineri compressio, licet des cendinet pondus et altitudine quantacunque. Sane x vi impressi impetus pervet set aer ad comprestionem adhue minorem, sed rettituens se m minore tandem comprestione quievisset. Frop. 23. Posito calorem habere eandem vim dilatandi conpor. quam habet Elastrum condonsationis; pondera materias aqu. hum condensationum coercentia, erunt ut calores. Nam si duae sint portiones aeris (exempli gr.) eaque aequi liter densae, una calidior altera, perinde etet (ea hyp.) ac h una prius aeque densa, mox fieret altera densior in ea ratio ne m qua est revera ealidior; in qua ratione autem etset den por, mea ratione augeri debet pondus coercens (per praecet. pondera ergo coercentia sunt ut calores. Gde op. 24. Eodem poscto pondera coircentia sunt n ratione con posita densitatum et calorum. Demonstratur ex prop. 22. et 23: eodem prorsus modo un M rer bet dum Jan aer no min rest Mac pat m omc vid ssa illa ea selt ted pro et set Ct