# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0089 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0089?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 61, page id 1066518432:0089 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=89 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000089.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.90 # 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 1e 15 ex 10 P M D E VIRLBUS EY MIOTTBAS GORBORUM. LIB. T. 6Y ram MOn _ rectam Ae in punctis MI ec A motum à quiete inci- Dientia accelerato motu illic in n’ec e acquirere queunt, in altum ferantur; illa in quibusris aliis punctis O et P cidem centro D X- quidittantibus celeritates reliduas aequales habebunt, tantam scili- cet, quantam in illis punctis ex P acquisirissent, si accelerato motu a quiete in MI e A incipientC in. CUIEVX arCU MO et recta AP descendissent. Nam quia mobilia alcendunt, atque adeo a cen- ero Colicirationum BP deortum ad hoc centrum urgentium rece- dunt, tam lae solicitationes centrales BF, quam tansentiales SF. rel NB, quae ex illis derirantur (5. T22.) nunc spectandxe lunt tan- quam solicitationes retardatrices. Parum tamen momenta be. ef e se. nHI (5. 133.) erunt aqualia, ex per 5. 132. huic aequatur Cuum momentum he. e C celeritatis decrescentis he, illi vero celeritatis 2628 momentum 2325. 282Cr, propterea haec ipla celeritatis de crelcentis momenta lunt aequalia, ex hoc respectu cujuslibet alius currae elementi ne omnium corum, quae in CurrX arcu nO, et hO- molosi elementi et rectae DA, omnium corum, quae in hujus recte Seomento ex continentur. Hlinc etiam univerla he. eC, quae in tra- Dexium BeX Y desinunt, aequabuntur unirerls 2128. 28265, quae tra- Pezio 23282 (2Y. circumseripta in hoc trapezium delinunt, id cA, haec duo trapezia aequalia crunt. Unde, si ex triangulis BeA d 26292a, quae ob celeritates initiales AC X 2A28 in n ac e (secundiim hypochelin) inter se aequales etiam aequalia lunt, auFerentUE trapC- Zia illa aequalia BeX Y e 2328222Y remanebunt triangula aequa- lia YAZ eE 2Y2A2Z, in quibus, utpote similibus, latera homologa AX _E 2A2X aequalia existent, atqui hraec aequalia latera celerita- tes in O e P mobilibus ascendentibus residuas exponunt, quae re- locitates proinde aequales lunt, et unaqua que carum (5. 136.) Ca est, qua mobili ex A a quiete descensum incipienti acquireretur in P, utpote quae potest duplum arCx AAZP, dum celeritas initia- lis ef potest duplum arCx AAZbC. PrOpterCa CX e 262X Tunt initialis relociraris partes amissae, vel a solicitationibus centralibus Be, BF _C. in alcentu mobilium absorptae, adco ue corporum ad curra ec rectae puncta Me A alcendendo delatorum motus alcen- sionalis penitus extinguendus sic, cum celeritates absorptae sA et 282A inicialibus aequales sint.