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Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 4v

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: 0.95.

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. 3r); this page is its left half.

The machine reads it as

  1. (30). Theorem. Majus majore est majus
  2. minore. eu si a pi b et bpc,
  3. erit a pc.
  4. Nam quia a p b (hyp. 1) erit
  5. (per 26) a = b + l. Et qui a (hys. 2)
  6. bp c, erit (per 26) b = c + m. Qui
  7. valor ijrius b substituatur (per 2)
  8. loco ipsius b in aquatione inven.
  9. la a = b + l et fiet inde a = c + m+ L
  10. Ergo (per 26) a p C g. E. D.
  11. (31) Froblema. Onvenire b medium
  12. arithmeticum inter a et c id est,
  13. ita, ut b tanto sit majore a
  14. minus quanto est minore c majus.
  15. Constinetio. Addantur in unum
  16. a et c et summae ditridium enit
  17. b, quaritum.
  18. Nam quia (ex hype constructionis)
  19. b et dimidium ipsius a+ c, erit
  20. duplum b aequale duabus dinci-
  21. dub, hoc est toti a +C, seu atc erit aequale duplo b, sive fiet
  22. at C =b + b Ergo (per 20) a- b -b- c
  23. id eet, erunt differentia extie
  24. honum a medio b aequales,
  25. sive excessus a super b aequa-
  26. tur excessui b super c. 4. E. F.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0008?run=73