Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 108r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.94.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

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.

The machine reads it as

  1. Clavius in Euclide suo, obertes e interemsit demonstrare
  2. tres tautrem esse demensio nes: hot pesar credo quaia
  3. pt hoc aggressus fuerati in com. ad suhae nat Joh. a Sacrbetio
  4. eap. 1. d ubi notat. tes tantum esse dimensiones, quia tres perpen
  5. diculares sese in uno puncto fecare possunt, quarum nina quaevis possit
  6. sumi pro longitudine; altera seo latitudine tert a pro profunditate vel
  7. ut ego eralim dicere. Una pro longitudine cui conpaacta alia faciat lo titudinem
  8. et itia acceddens propunditatem
  9. Esse autem porro autemtres per
  10. pendiculares ad idem punctum consistire posse sic demonstrat. duae
  11. perpendicutanes sunt in uno puncto concurrentes su invicem perpendiculares
  12. sunt ii eodem plano per secundam tmi 2 underimi. Ad hoc Ex puncto earur
  13. communi excitetus. recta perpendicularus ad planum per 1t undec Eoit haec ad ubrumque
  14. pricrum perpendicularis ex def. 3; le undec Osterdanus jam nullam aliam posse
  15. dati adeasem in eodim puncto perpendicularem
  16. ductur si freri potest
  17. Erit ea recta ad planum (cum. sit perpendiicularis ad duas protres in plano)
  18. he per a undec. Ergo cum ergo Erga sed tertia etiam enat recta ad idem
  19. planum in eodem puncter ex construuctione praecedenti demonstratione Ergo ad
  20. quarta
  21. dem planum duae sum rectae in eodem puncto ex eodem u puncto ducent
  22. due rectae lineae ad idem planum perpendiculares ad easdem spartes. per 13
  23. unde quod fieri non potest per 13 undec.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 108r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0215?run=74