# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0358 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0358?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 330, page id 1066518432:0358 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=358 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000358.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.89 # 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. Z3ODE VTRIDUS ET MOTTBOS CORPORDM. L ID. II. actu mobili ascendendo percursa eriinE A =X, et tempora, quo hxc spatia absolvuntur T = 1, Polita T PrO tempore, quo maxima alcitu- do A conticitur. Oux crant exhibenda. E X E M P L U M. 57T. Sit r = (abW L CUW) A: aa, eritque _ =saandu: aaG F abua cunA, e + = saadu: aae = abua Z Cuna. StuE lx Formulae particula- res lint, infinitos tamen calus particulares complectuntur, tam pro descentu quam pro alcensu grarium; scilicet pro rarietate densita- tum a. Nos primum simplicistimum calum considerabimus, supDO. nentes A = F, e Formula nostrae redisentur ad calus, quos in capiti bus proxime ancecedentibus jam exCUSIMUS. 572. Propterea Substituatur cantum lOCO A, E, ex retinendo siona Cuperiora pro descensu grarium, ex habebimus x = saaudu: aae abu-cuu, alteram que =t =s (aadu: aaq = abu = CuW). VFhX aequa- tiones construi queant, ponantur aag = chh -= eff, item ab = 20f, ac denique y = f+ u; ubi a, b, c, f, 8, et h sunt quantitates constan. tes, ac x, Y, u, t, rariabiles. F’actis hisce substitutionibus repe- FICtUE aandu: aaS - abu - cuu = aandu: ChB - eff - 2CfW = CuW = als udu: Bh = (f. + 21) . = ( ydy - 2 omnia =e ydy: Bh - gy = 108. Y (Bh =ff: Bh - y7) in logarichmica, cu- jus subtansens est aa. Nam ydy est dimidium elementi denomina- toris hh -yy, Sed sub signo contrario, ex Bh-ff est maxima magni- tudo omnium BB -7y, quia festminima omnium y = f. + W, quae ha- betur ubi u cranuit. POETO S vel potius, quia cranescente u ipsum etiam integrale cranelcere de- bec, et existente u =0, scu y =f, inventum incegrale abic in 108. V (B + f: B - f), quae quantitas detrahenda eM a priore, ee ha- 173. Eadem Facilitate relolvetur altera a quario parasraphi 572, Ecu