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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 70r

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: 0.90.

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

The same scan as fol. 69v (00068194:0138), where its text is given.

The machine reads it as

  1. secunda primi
  2. dur
  3. Ad datum,A rponere datae
  4. rectae BC aequalem rectam AG.
  5. solutio: jungatur AC super qua triangulum
  6. aequilaterum construatur AKD per 1. 1.
  7. centro AC radio CB describatur dcta versus C
  8. circumferentia BE cui recta per D Clocurret
  9. in E (per Lemma sequens) centro
  10. D radio DE describatur circulus, cui
  11. pro recta per DA occurrent in G
  12. AG = B(per idem temma
  13. ErgoA G = BC
  14. demonstratio
  15. DE CE~CD Erp DE =DC+ CE =
  16. CB E DCD CBA DCFCE = DE=DG
  17. = DA + AG = DC + AG. Ergo AG = CE = BC
  18. Lemma
  19. si recta DC cujus terminus est centrum (.. dC
  20. circuli producatur versus centrum C
  21. occurret circumferentiae excent
  22. ad partes centri occurret circum ferentrae
  23. t
  24. hunia C
  25. erga aliquando erit extra circulum prius ergo
  26. in circumferentia ex natura continuorum, rade
  27. de qua ad 1. imi.
  28. 3tia primi ex his clara est, ita
  29. ut nihil opus sit addi.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 70r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0139?run=74