# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0380 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0380?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 187v, page id 00068193:0380 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=380 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000380.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.84 # 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. set Ur dam aliu det. grat Ordi qua caci Una quoc ut do a Sect. V. Cap. 2. De Motus directione etc. et quod de duobus punctis dictum est, producitur ad puneta quotcunque, n pro duobus centrum substituatur, quod pondere amtorum oneratum suo tractu duorum progressitus aequiva let, ut hic ostendimus, unde jam cum tertio prodit via centri novr omnium trium, et ita porro. 2op. 13. Si puncta quotenna moventur motibus aequidirectis, centrum gravitatis commune itidem movebitur motu aequit recto; et suma progressuum vel (ubi in partes contrarias itur differentia erit aequalis progrersui ponderis totius secundum vi am centri gravitatis. Et si praeterea motus punctorum sin uniformes vel saltem inter se proportionales; etiam moniis con tri gravitatis erit uniforimis, vel prioritus motibus propontionam qu Si punctum A (fig. 20.) describat lineam quamcuni AA, et B quamcunque BB, ita tamen ut eodem tempore directione seu linearum tangentes sint parallelae, ut in A et CB, in 2 A e O 2B, in 3A et 3B, et ita in eoeteris, etiam centrum eorum C - e lincam describet CC motu aequidirecto, seu ut direitiones m il 2C, 3C sint prioribus repondentitus parallele. Hoc patet ea pi cedenti, si pro lineis carvis polygona adhubeantur minus erro C A. is re assignato a curvis differentia, ita ut et respondentia lateri polygoni sint parallela, et eodem tempore atsolvantur. drop. 14. Si mobile quodcunque Trigidum vel fluidum, continuum vel diseretum) moveatur motu aequidirecto, (hoc est ut omnu puncta eodem tempore directionibus parallelis ferantur) cen trum quoqe gravitatis ejus setiamsi caderet extra mobito) movo bitur motu aequidirecto ad priores motus, et factum ea ducta ponderis integri im viam centri erit progretsus torias modum en ret dati ests m e M M tatu tris mem quod vilit atsius cede esca ete