# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067964:0023 # Permalink to this reading: https://leibnizlegible.com/page/00067964:0023?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5 # Folio 12r, page id 00067964:0023 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067964&page=23 # Source image: https://digitale-sammlungen.gwlb.de/content/00067964/jpgs/default/00000023.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.89 # 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. Punt Spatium intus ubique sibi congruum est. Etem planum et superficies sphaerica,, et linea recta. Et sphaer Et linea helicatis circularis; et linea helicalis itaque quod in his (interminatis seu terminis sepositis movetur, nullam ofendit diversitatem prate eegelato etisume in spatio etiam et plano motus feri potest variis modis. In lineis non nisi duobus prorsum et aeberum. Paulo aliud est, etsi cognalum quod in plano spatio, plano et recta, quoerum termini retrorsum, congruunt, ea inter se congruunt, nam in superficie sphaeriau et linea circulari adus est verum ex est maenlinem uno puncto usi Enclodes ussumit di non transferri rectam sed tantum moveri circa punctum immotum, lunde vem de translatio nem deducit per consequentiam, seu modum ad punctum datum ponendi rectam dalae aqualem uata generaliter a me assumi potest in plano circa punctum mbbeu A quod est in plano uam. Enmrofum moveri posse soutspatio et aliquod ubius Ad eandem plagam seu ad easdem partes, eodem modu se habet Ine iem e verum est in pharica superficie et eu. Ad Elenenta egilana fortasse sufficiet, haec duo assumere eam esse plani naturam a ut extremis congru entibus congmant figurae, 2 fignram i plauo noveri pose uno quuncto immito, et deinde d efpuretur ircutanis linea quae a puucto sie moto describitur inde porro in semonstrabitur punctum in quo duo cuculi se lanunl esse suae ad duo plctia Telation unicum ss cum alius enivis alteri jari possit respondent alcud. U l et des poterst recta definiri talium locus. smulus demonstrari se e omnia epuncta recta eodem odo, se habe tum nuncta quaedam quod eodem modo si habet ad Ou At recta o datu srnct ate i lsa ad