# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068167:0023 # Permalink to this reading: https://leibnizlegible.com/page/00068167:0023?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 14 # Folio 12r, page id 00068167:0023 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068167&page=23 # Source image: https://digitale-sammlungen.gwlb.de/content/00068167/jpgs/default/00000023.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.96 # 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. ebu lujus centrum C homogeneus gravis Quandonam crbus, in plano inclinato aliqua sua sic hedra positus, coliscat aut evertatur, quaestio est et an aliquando stet sine descensu sit planum imtimatum AB, centrum Tubic Horigen HB. Respondeo globum gbiscere sine eversione gliscere hedra Cubum Respondeo primo gloem sempen descendere. Nam Respondebo per aliquot positiones: primo Globus quamdiu gliscit descendit medium cujus unum punctam huc designo super primo e eversio sit super B. tanquam fulero, nempe ima acie hedrae nogiu deminima a centro ad fulerum) secundo itaque si e recta CB sit horizonti HB perpendicularis (ut in fig. 2) aequilibrium super est super hoc fulero nam TertioB planum verticale per CB et aciem B dividit cubum in duas partes similes aequates et aequales, et quantum pars dextra (in figura) nititur ad eversionem, tantum sinistra contra manet igitur cubus ad huc sine eversione Tertio itaque hic status est terminus gliscendi, hoc est sc elevatio plani inclinati semirecta, est maxima earum in quibus coliscitur sine eversione, nam si angulus CBH est rectus a ideo cum angulus CBA sit remirectus, residuus ABH erit quam elevatio Temirecta cubus quarto si major sit inclinatio glabus evertitur ut in fig. 3 etiam semirectus. exceditur enim aequilibrium casus praecedentis. quinto si minor oliscis tantum ut patet. sexto. Quamdin gls gliscit descendit gliscere potest descendit. cuibus potest enim centrum gravitatis descendere in linea recta plano inclinato parallela septimo cum glo cubus evertitur descendit; nam si descendit cum gliscit, cubus per planum in minore elevatione, multi maricapendet in mgiore elevati ut cum gliscit, per art. 6. id est in minore elevatione per artic. 3. multo magis descendet in majore glevatione hoc est per artic. 4. cum evertitur octavo. Itaque cubus homogenens in plano inclinato positus semper descendit. nam descendit cum elevatio est infra semirectam, pert s quia tunc per L5 3 aut 5 gliscit ergo per 6 descendit. Cum lani vero plani elevatio est major, descendit multo magis