# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068192:0181 # Permalink to this reading: https://leibnizlegible.com/page/00068192:0181?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B # Folio 181, page id 00068192:0181 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068192&page=181 # Source image: https://digitale-sammlungen.gwlb.de/content/00068192/jpgs/default/00000181.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 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. in diversis parribus toca motus quantitas similiter colsigetur. Firca sit recta AB uniformitermota cen trum immotum a punctis suig ute Describens arcus 1C2C vesocitati tibus punctorum proportionales Sponatur praeterea mobite esse versus gravius seu densius B, in ratione distantiae ab A. representabitur tota mozes seu quantitas mate rice pertriangulum rectangu ABF Lum ujus basi paradeta, seu ordinatim applicata CG sit ad basim BF, ut densitas in C ad de jam sitatem in B. fiat aliud erian qulum rectangulum adeandem rectam AB in aLio plan ad prus recto nempe triangusum ABD ordina bis suis Ce representans vedoci citates respondentes; seu ub CF sit ad BD, uti veLocitas 1C2 1B2B ad velocitatem: tunc rectangu Pum eC G representabit impe- eum puncti CS poramis quam constituunt haec rectangula) ejusq partes representabunt impetus impecus partium Lineae d ila impetum erit impetus ipsius a C ad ipsius AB, ut poramis AC eH G est ad poramidem ABDLF ad eo que ut cubus ipsius AC ad cubum ipsius AB. Defin. 9. IN SeNSIO MDSVSscu VIGOREN MODUI est re Locitas mobisis aequidisribu tempore indigeat, te moti, quad mobili proposito C mole d impetu est aequate seu resocitas quae ducla in molem datimpetum. Ut si omnes iB2B ceserita les punctorum Brecte ABcirca A centrum immotum in plano motae ubique aeque densce re- aordinatim presententur rectis BD ad an- queos rectos ei insistentibus: et sumatur recta Ce ves 1A3A calis ut rectangus um 3AI A2B3B TuRC cequetur figurae ADB celeritas representata perrectam CE erit velocitas qua motum mobile AB motu aequidistribur + Ex his etiam patet idem isse impetum quod summam velocitatum, posito elementa molis au aequata; inter se quibus competunt r velocitates esse aequalia per se Ex his etiam intelligitur impetum esse quantitatem motus sed non nisi momentanei; et aptus dici tatem conat us elveitatum quanti oarie cum motu a oead ititem motus for qo eritur ex conatumque toto tempore existentium aggregato, et translationis. Mo ingra dicitur quantitus imus tamen significatui morem gerere. ecexta