# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067960:0026 # Permalink to this reading: https://leibnizlegible.com/page/00067960:0026?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 1 # Folio [13]v, page id 00067960:0026 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067960&page=26 # Source image: https://digitale-sammlungen.gwlb.de/content/00067960/jpgs/default/00000026.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 97 lines, status machine # Lines: 97 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. in quo alioqui secasset ducta, hunc patet, effici posses ut non secet antequa AF rect mota rectam CD quam ubisin s nerenat pervenit in B. itaque punctum N est adhuc infra rectam inten ergo A recta ca puncto supra eam A, ad punctum minatam CD a incra eam. H ducta, AH necessario lineam interminatam seu quantum satis productam CD. in secabit alicubi punctor aliquo ut E. d sed superest difficulitas stratione non explicatur requio aluque At nom in cur res AB accedat ad C est imperfecta psimiru motus fieri non on ideo demon on potes F est necesse est infinita sit ad impediendum ne ante quam G cusu recta A vehiat in D. secetur recta eV nam ut ex hoc ipso patea infinita duci potest nita non movetrr nam tota est pune iutra nec supra rectam adeoque eam Calicubo quanqua secare debet extremo (quo caret c superest int haec consequentia ostendenda supersit ergo lantum put ostendamus hoc contingere un cd nqual non approst absolutum erit recta A Postenses demonstratio axtomalis. e. ad hoc axioma illo Casu cum ad hoc quibus duobus puldinus et ali demonstrandum viuntur extremo perpendicularis Arabes (lavius, cultidis recta quae uno et super ea ita movetur getero umunt se notum ego sic demonstro: queandutdum etiam rectam describit. principio quod idauni extremo ( recta rectae est u alterum in in una recta et est perpendicularis ab una movetur perpendicula 1s midescabit Ergo malla est es ratio cur, at vicussim Unum extremum ulla velut per ab ea ea nimas erit cur non ad ins iisi rato ham d satur incat istere alteri potius. estribere dubes punctis omria ei anst. E.. Et vero s prota da p etem rectaelle p nec dlaso