# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068164:0133 # Permalink to this reading: https://leibnizlegible.com/page/00068164:0133?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11 # Folio 67r, page id 00068164:0133 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 66v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068164&page=133 # Source image: https://digitale-sammlungen.gwlb.de/content/00068164/jpgs/default/00000133.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.97 # 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. Cum patum a solido percursam sit insquatuor dimensionum artificio opus est ad repraesentandum ipsum in figura solida, vel etiam plana. id orto exgetali natura dimensionum) tamen semper fieri potest, ex hoc generali fundamento mirabili, quod utcunque puncta solidi motum variens semper in tegra superficies in solido debet habere eandem omnium punctorum velocitatem, motumque aequaliter distributum; adeoque aequale eodem tempore vias et integra linea inquavis superficie; ita solidum vel superficies in elementa resolvitur, q quorum impetibus vel spatus exhiberi possunt proportionea respondentia Elementa figurae planae. Idem est in pondere, solidi, quad etiam est quatuor dimensionum et in momento ejus ex axe librationis aeqiiii quod est quinque dimensionum. In mobilibus similaribus quantitas mutationis eadem est cum quantitate spatii sede et locum habet quaecunque hactenus de diximus; et quoniam in natura intime inspecta omnia mobilia sunt similaria, his contenti esse possumus. In speciem tamen et ad sensum mobilia sunt dissimitaria, et huic hypothesi eta ratiocinationes habebiimus quantitatem ese mutationis sive Effectus vel eu massam motus in eodem mobili reperti accommodando: impetuum, vel motuum massam, ex ex ductu spatii in gravitatem iicspecificam mediam; seu mediam sensitatem seu ex ductu ebibis voluminis a gravitatsa specifica mediat et viae mediae in se invicem. Quaeetamen quod tamen idem et per superiores varietates accedente jam nova jam in mobili gravitatis singulorum punctorum specificae consideratione particulatim colligendo obtinere licet seu demensonis possunt depami seu massa impetuum unde factum est quinque dimensionum