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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 235r

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: 0.86.

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

The same scan as fol. 234v (00068194:0468), where its text is given.

The machine reads it as

  1. R3
  2. ex defin
  3. Ratio A ad B eadem Bs est (ae Euclidi)
  4. rationi L ad M. quando A existente
  5. majore quam Y etiam necessari motin
  6. ex major quam A. B: Loc mnihi
  7. Er
  8. ponendo A+B,: B:: L+M: L. et dividendo si AFB; B:: L +M g. M euit A: B = L M
  9. tranum a uagnitudine ad similco plexa
  10. A: B:: L: M. Ergo alternando A: L:: B. M et con ertendo B: A:: M: L et com
  11. era, ert ebdem rali
  12. Si AFB, : B:: L+M,: M etram erit AEB+A:: erM,: L
  13. hip. P. L. M. A B. R. M. 5 eut A. R. : t. 5i1 . . P: ml. Su 6
  14. tribus lineis datis invenire Chto quartam
  15. proportionalem per cirentum aveiae ham
  16. line alu munu. sumatur sint lineae Datae B, B, C
  17. sit dali recta in desimiti
  18. ex puncto sumto
  19. sumantur DE aeq. A, et dF aeq. B
  20. et _d ponatur dG aeg. C per
  21. puncte E.F.G. descriontur ciltulus ui,
  22. doducta Gd in A occurrens vabit
  23. quallam proportionalem quaesitam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 235r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0469?run=74