# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0284 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0284?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 141v, page id 00068193:0284 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=284 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000284.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.81 # 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. Sperimon Calculi Analyt. pro Phorometria. A6 ABC reprasentarat. omnes velocitates mobilis excistentes eodem temporis instanti, ita triangulum DC reprresentat omnes ve locitates temporis competentes eidem mobilis puncto B; sumi 2 i 1. C Jam 3 talis, ut sit rectangulum solidum FDBA aequale pyramidi ABC, et erit fD. media mobilis velocitas; qua n mobile AB ferretur per tempus DB motu aequidistributo et uni s formi, idem, foret tractus idemque (si mobile similare ponatur) ess suo . etus formalis seu quantitas translationis, qui in motu per tem poris momenta et mobilis puncta variat. (32.) His jam ad calculum translatis, AB; e. DB; t. BC, Y AE, V. DF, (47. triang. ABC, 3. Pyramis DABC, Y. habeti locum calculus paulo ante dictus. Fit enim =Ve. r - ( = le. Sed V = sdev: e, et (V= sd + V: F. adeoque 1 = saF V. Unde patet esse = sdev, et r Sat sder. Et hoc quidem generatim 33.) Sed quia in hoc enou v coeaiitentes sunt ut e fiet ut sd vel ut sace, id ett (per leves calculi differentialis) ut ce vel ut oo, protractiones X, vel (si mobile sit similare .. c impetus y, simul existentes in linea AB, sunt ut quadrata pot tium AB vel A(B), et totius mobilis As protractiones vel in petus successive existentes sunt at quadrata velocitatum punci B. 34) Hinc jam i nostro caru r ut (at vv. Sed t rursu sunt ut D, in casa presenti, cum v velocitates puncti B crescant propontione temporis seu durationis; Ergo fit ) ut scovo vel ut sat, adeoque tractus (vel in casu mobiliss milaris, etiam effectus) diversarum mobilis partium A33 it Lp . a C AB) in casu praesenti sunt im miplicara ratione velocitata , ultimis punctis B3, (B) competentium, id est iptarum line aru arun tis 1b am iet2i tur mit plo rat 1o ac li 5d cus ec 9 mir rell nem