# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067971:0030 # Permalink to this reading: https://leibnizlegible.com/page/00067971:0030?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 12 # Folio 15v, page id 00067971:0030 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067971&page=30 # Source image: https://digitale-sammlungen.gwlb.de/content/00067971/jpgs/default/00000030.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 28 lines, status machine # Lines: 28 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. Ecce et aliam notionem. si spatium fit lansum, (sive superficiei sive solidi) sit clausum non potest recta elaudi in solido omnis linea in parte ambitus ducta, ubi ad partis illius terminum pervenit, continuari potest in alia ambitus parte; alioqui ambitus non eut plenas integer terminatio hiabit. Ex. gr. Esto pypamis ABCD in parte ambitus, nempe triangulo ABC ducatur linea AE. Quod si jam hiaret ambitus, seu ab esset basis A BCd, non posset continuar linea AE in alia ambitus parte, sed hic sisteretur sed posito spatius. lapdi ope qua ri trian- cotina ab in ambitu guli BCd potent E continuari extra pyramitem uerb: qr ad ex per lineam EF operae pretum foret ostendere, quomodo una harum notionum ex alia nascatur si Ad conciliandas notiones ostendendum esset ex puncto a plami ACd, quod sit G ducatur ad H punctum plani ABC, recta G, et in ea sumatur punctum K, id punctum K c cadere intra spatium clausum, rectanique ex eod eo eductam si producatur necessario incidere in aliquod ambitus punctam velut L