# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0215 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0215?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 108r, page id 00068195:0215 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 107v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=215 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000215.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine # Lines: 23 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. Clavius in Euclide suo, obertes e interemsit demonstrare tres tautrem esse demensio nes: hot pesar credo quaia pt hoc aggressus fuerati in com. ad suhae nat Joh. a Sacrbetio eap. 1. d ubi notat. tes tantum esse dimensiones, quia tres perpen diculares sese in uno puncto fecare possunt, quarum nina quaevis possit sumi pro longitudine; altera seo latitudine tert a pro profunditate vel ut ego eralim dicere. Una pro longitudine cui conpaacta alia faciat lo titudinem et itia acceddens propunditatem Esse autem porro autemtres per pendiculares ad idem punctum consistire posse sic demonstrat. duae perpendicutanes sunt in uno puncto concurrentes su invicem perpendiculares sunt ii eodem plano per secundam tmi 2 underimi. Ad hoc Ex puncto earur communi excitetus. recta perpendicularus ad planum per 1t undec Eoit haec ad ubrumque pricrum perpendicularis ex def. 3; le undec Osterdanus jam nullam aliam posse dati adeasem in eodim puncto perpendicularem ductur si freri potest Erit ea recta ad planum (cum. sit perpendiicularis ad duas protres in plano) he per a undec. Ergo cum ergo Erga sed tertia etiam enat recta ad idem planum in eodem puncter ex construuctione praecedenti demonstratione Ergo ad quarta dem planum duae sum rectae in eodem puncto ex eodem u puncto ducent due rectae lineae ad idem planum perpendiculares ad easdem spartes. per 13 unde quod fieri non potest per 13 undec.