# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0154 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0154?run=74 # Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2) # Folio 68, page id 779782283:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine # Lines: 76 recognised, mean confidence 0.91 # 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. PH XSTCF TRAC ZATVS I. IOTS SinE ve linexe, vel spatia, modo, AlECTA FANEU exFreMICAS aequali Ccilicet rempore, spatia chordae immobilis est; (i secundo, QUOqHe CFHHE VE MOTUS; Sed DN veraque; si cerrio, unicum cen EM Cunc ve mocus; igitur lunc erum medium B immobile ma- Exacia aequali cempore decurla. PROP. LZZTEI Daro tempore, quo datuns spa- tium decurritur, ab excremo puncto chordae minus tensa, determinare temons, quo sparium aequale priori. ab extremo puncto chordae magis ten- 1B sae percurratur: Sint eadem puncta E, de D, illud magis, hoc minis DEt. PROP. L ZZ V. Si chorda AC tendatur, adducto B, Versus F; deinde obi à tendente vi dimitritur, sine impedimento re- ducitur: V. 8. SIE chorda A C, cen - Ei8. u datur in AD C, A B adducatur ist D, redir in C, line impedimento, censa; sic spatium DC; _ illi per rectam D B, quali IOEu miXEO aequale F O; cempuS, quo DC ex D A, D C, d aliis infiniris con- percurritur, est idem, cum eo, quo ingarionibus rectarum ductarum, E II decurritur; igitur si Ccias in ab A, ec C in BD; quod aurem eadem chorda cenla, ex ratione nullum lit huius mocus impedi- Spaciorum cognita cognolcere ta- mentum, probatur; quia pecinde rionem temporum, de vicistim, Fa-. Se habent duo Lesmenta CD, AD, aile hoc problema Colues: POrrO acque si rraherentur, iblud quidem, daTO LCMPOTC QLO PCTCULLITUIEFHI, ex C, hOC verO, eX A; Sed cunc quomodo cognolei poltic rempus, quo decuEriEuE F O, ab CxETEmO puncto eiuldem chordae renta, p2- cec ex dictis, ci tempora (INE VE velocitates. ROD. L. Z X- TY Chorda tribus diversis modis ten- di porest: Primo, si altera illius excremiras immobilis afigatuIE; SIC chorda AB cendi porest, adducto B, in D, vel in F. vel in F; A FemaneNEO immobili: Secundo, si veraque im- mobilis immobilirer afgaEUE; SIC chorda A C, CIIHS VELAGLe CXEre- anicas astixa est immobiliter in A, e C, tendi porest, si eius centrum B, adducacur per lineam BF, Sic vulgo renduntur chorda, dum pullanturs. Tercio, si verimque extremitas ad- nullum essec impedimentum: Prae- terea motus mixtus ex duobus perpecuo renouatis, auctilque, non dicitur impediri; narri vel ab alcero, vel ab recoque; neuteum dici porelti non primum, cur enim abo ruo, porius quam ab alio; non lecundum, quia non impedicue. motus mixcus, ab e0, ex quo At; Led ex veroque tc, igieur 2b vero- que non impeditur: praecerea linE BL, Bg, TF, y F aequales, pun- ctum Pcrahitur per IB, & y F, 19i- Eur (I Supponatur motus aequabi- lis, certe non ibit per FL, neque Per Fy Led per diagonale LB, sine impedimento; isicur etiam (I. E moneatur motu accelerato, sino impedimento per FB mouebi- EUE; AF, CUF NON L 3 CUF NOI dueatur, cendirus eriam chorda, re D, _c. igicur nullum ridetur esse facile incelligi porest: si primo impedimentum, nullum rorinacu- lumn