# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0286 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0286?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 142v, page id 00068193:0286 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=286 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000286.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 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. Sperimun Calculi Analyt. proFhorometria. (41) Sed quoniam ostensum ett potentiam orrri ea quadratis et locitatum in molis elementa ductia, fit p= samvr. (42) Et si 8 sit velocitas potettatio, fit seu cujas quadro tum m molem ductum dat mobilis potentiam, fit m 83 = p adeoque 83 - sum v: m = sat 88m = mt (, C (8) = + (p). Eritque e velocitas potertation media mobilis in certo momento ati a et (8) velocitas potertativn media mobilis pro toto tempore, , et p potentia motilis in certo momento dt, et (p) potentia e mobilis media per totum tempus t, qua duita in tempus adt lute, dat quantitatem Actionis. (44) Et sanc si mobile diversas in diversis punctis habeat du sitates et velocitates, differunt in eo Velocitas ipsi attribuenda 0 communis V. F quae ducta in volumen e dat protractionem 3; e n tempus =, dat longitudinem tractus l: in volumen e et ten I: Velocitas exattata (seu intentio no nus t, dat fractum L. C que ducta m molem m (id est volumen W mul et gravitatem secifieum), dat impetum y; in tempus dat longitudinem translationis a; in molere n simul et i pas t D stativa . eujus potertas seu quadratum in molum me dat potentiam p; in molem m et tempus t, dat actionem fornt lem a). Et quidem V - )dev: e, et d = samv: m, et 3, Samvv:m. (45.) Et has quidem quantitates medias gravitatum, veloerta tum, potentiarum introduximus, ut infinita varietates pun etorum et instantium ad quantitates constantes aequivalentes duci, et theoremata nortra eirea motum aequidistribatum et formem demonstrata ad omnia alia motuum genera transferri 46.) Quisquis autem hujus praesontis Calculi simulgi Geometria intelligens rit, non minus facile moles, velocitates, tractus, impetus, motuum effectus, poti as, actionesque hactenus explicatas, quam numeros aut figuras aestimabit.