# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067976:0218 # Permalink to this reading: https://leibnizlegible.com/page/00067976:0218?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14 # Folio 109v, page id 00067976:0218 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 108r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=218 # Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000218.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.92 # 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. A videtur ergo antea perpendicutare, veniendu ad planum, quod obilinetur motu rectae ad duas cira punctum transeuntis per per rectam, seu est id quod ex tribus punctis determinatur vel et motus rectae duas parallelas at ingen ambas eodem modo et ambas normalita Haec uffiugentise recta ita mota describet planum. Ostendendum est in hoc slanum adere omnes rectas quae duei possunt sier duo quaevis puncta in patallelis Jo Hoc ostendi pt quia describi at haec linea As motu ipsiusLm movendo scie punctum in linea describente ML nam describetur linea recta (hoc est ossendendum eaque pervenit ab A ad B, et utique semper manet punctum describens in plano quia semper manet in L ostendi autem it hoc ex nabum similitudinis quia non possunt discerni ALN, et AL) N) ergo et vin nempe via puncti L per AL() est sibisimilis et via ipsius LM, et via isius LA N in LM, ergo et via exhis determinatu ANN) Ergo est recta omne Triangulum determinat aliquod planum seu uno triansulum non pt esse seu tria puncta non possunt simul esse in duobus planis modo nostro planum ubique sibi simule est patet ex generandi. Id ut non sit nisi exeremle dis cerni demonstrandum postulandum uni extumo immoto recta seu continuam dam linea moplana possint in plano posse moveri cujus quavis puncta se eodem modo habeant ad punctuu en videtur ostendi posse quia si in recto moveatur tuo educta inf nilae recto. ex puncto edaci possunt cu plano et in qolibet sumi pt ex puncto recta dalo Et locu homm omnium est linea circulams aequalis Hinc sa habetur circuli possibullas demonstrata. Et sanlicet eo uti, ad caetera absolvenda ation pes et enon