# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068165:0060 # Permalink to this reading: https://leibnizlegible.com/page/00068165:0060?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 12 # Folio 30v, page id 00068165:0060 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 31r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068165&page=60 # Source image: https://digitale-sammlungen.gwlb.de/content/00068165/jpgs/default/00000060.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.92 # 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. 162 EA FRVDI IORDM vandum corpus B quatuor librarum, usque ad alcicudinem P F unius aB. VL. ulnae. Omnia haec a Carcelianis paricer ac cateris PhiloCophis Lig. 6ec7. ec Machemarieis nostr: temporis conceduntur. Hinc sequitur cor- pus A delapsum ex alticudine CD, praecise cantum acquilivisse vier um, quancum corpus B laptum ex alcicudine LF. Nam COrpUS (A) postquam laplu ex C perrenic ad D, ibi habet vim realsursen- di ulque ad C, per suppos. 2, hoc cA rim elerandi corpus unius libra (corpus Ccilicet proprium) ad alcicudinem quatuor ulnarum. PF Similicer corpus (B) postquam laplu ex P perrenic adF, ibi habet vim re alturgendi usque ad P, per suppos 2, hoc eAt vim elevandi Corpus quatuor librarum ( corpus scilicer proprium) ad alcicudi nem unius ulna. ErgO per suppos. 2, vis corporis (A) existentis in D, dc vis corporis (B) existencis in F, sune aequales. Videamus jam an ec quancitas mocus utrobique eadem SIt. Ve- rum ibi praecer spem discrimen maximum reperietur. Ouod ita osten- do. Demonstracum est a Calilao, celeritatem acquisitam la p (u CD, esse duplum celeritaris acquisita lapsu F. F. MulciplicemuS ergO COrpuS A quod est ue e per celeriratem Cuam qux cAt ut 2. productum Ceu quancitas mocus erie ut 2, curtus mulciplicemus corpus B quod est uc 4 per suam celericarem quae est ut s productum seu quantitas mocus exie ut q. Frgo quantitas motus quae est corporis (A) existentis inD, est dimidia quantitaris motus qua est corporis (B) exiltentis inF, ec tamen paulo ante rires urrobique inveneae sune aequales. Traque man enum es discrimen inver vim motricem de quantitatem motus, ita nc unum per alterum aestimori non possit, quodlostendendum Cusceperamus. Exhis apparet, quomodo vis aestimanda sit a quan- ritate effectus, quem producere porest, exempli gratia ab alcicudine ad quam ipsa corpus grave datae magnicudinis e speciei potest ele vare, non vero a celeritate quam corpori porest imprimere. Non enim dupla sed majore vi opus ettad duplam eidem corpori dan- dam celeritatem. Nemo vero miretur in vulgaribus machinis, ve- etc, axe inperitrochio, erochlea, cuneo, cochlea de similibus sequi- librium esse, cum magnieudo unius corporis celeritaté alcerius, qua ex disposuione machinae oritura esleu compensatur; scu cum ma- en