# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068164:0237 # Permalink to this reading: https://leibnizlegible.com/page/00068164:0237?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11 # Folio 119r, page id 00068164:0237 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 118v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068164&page=237 # Source image: https://digitale-sammlungen.gwlb.de/content/00068164/jpgs/default/00000237.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.94 # 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. quod si ratio spatiorum _ ut CE et AB sit incm qu eam mensurabilia, ostendetur nihilominus, fore e temporam spatia LH, FK quibus sunt percursa ponatur enim hoc asserendo committi errorem Srnt ratio spatiorum inter se, isque assignatus intelligatur poterit jam sumatur ratio Bcommensurabilis spatiorum Cd et AB, tam parum differens a data quam cE ad AB, quam voluerimus; utique cumque in di in quibus cum sint tempora ut spa, et cum H in ratione commensurabilis tempora sint ut odemonstrationis prot. spatia (per partem luniq, o odentem) utique differentia rationis temporum H _FK quibus differentia a ratione tempormm tG ad C4 FK est minor data, itaque et e differentia rationis temporum LH quae sunt spatiis proportionalia, est utinor dat errore assignato, contra hypothes in itaque errer assignari non potest; et sunt proinde ut dfferentia etiam rationis temporum LGad FK et temporum E LH ad FK sit minor data itaque differentia rationis temporum ut umendo unam pro altera, error sit minor dato; jum et (per partem demon- strationis hujus praecetta impensa LG, FK, su spatiis percursis commen surabilibus Cd, AB proportionalia) ergo sumendo casum propositum pro caus d etA spatiorum CE et AB, pro casu e in quo demonstratum est spatia esse temporibus dat proportionalia, error est minor assignato quod est contra hypothesin, dato eo scilicet qui feteas ca seu minor quocunque illo errore qui fuit assignatus quare error assignari non potest. Et proinde accurate spectia verum est tempora LH, FK esse ut temtpora CE AB. Q. E. d Quantitates Motu Quensi in motu uniformi quantitas cartus est t factum excdle in composita ratione composita ve vel (ut alii loquuntur impetus ist in ratione composita tem quae est in composita ratione molis composita molium sene eqi dicuntur, qui sunt in ratione composita elie quantitatum ant mobi molium in mobili et relocitatum Molem intelligo quod est in ratione extensionis seu densitalis