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Leibniz-Handschriften zur Mathematik LH 35, 5, 25, fol. 8r

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: 0.89.

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The machine reads it as

  1. datis punctis C et D. et recta indefinita AB
  2. Ducere CED ita, ut sit CE. C + ED. M omniam
  3. possibilium minimum, seu minus quam foret sumto
  4. E alio quocunque
  5. sit ntu Ex punctis datis C. D. dicantur
  6. ad rectam perpendiculares CF et DG
  7. Dabitur FG aequ. f. et CF, c. et Gdd
  8. sit FE, X eut GC aequ f -x. et CE aequ XX + CC. Et DErq. H xF
  9. dsebet C CC+xX +M ff. 15X +Xx + dd aequ y esse omnumm
  10. possibilium minimum
  11. sit Lunitates, et utde nosit
  12. sit nitas L. sit m. seu eat
  13. erit CH aequ. l LCCFAY
  14. sit CH ad eE ut L (sumta in CE si
  15. opus producta) ad CE ut l ad uutatem
  16. et ruisus DK (sumta in DE si opus producta)
  17. ad DE ut M ad unitatem. patet rectom
  18. et per H et K ducantur KN, K P ipsi
  19. AB parallelae, patet quamvis rectam CH ex
  20. dato puncto C. ad Hd rectam HN ductam fore
  21. sccta et quamvis Dk for + m rf. 2fX + X+Yd
  22. CE sit e. quaeritur R eAqu CH erit CH: CE:: (Q: CF seu C
  23. debet autem esse CH aequ. l. CE: +g
  24. Ergo fiet: l. CE: f: CE :: C9; c seu
  25. l: f:: C2: c. sit ergo C9 c: f similiter DR erit Md: f ergo
  26. erunt CH. DK ipsis rectangulis L in CE et M in DE proportionales
  27. quaeritur ergo quomodo assumendam punctum ut fiant rectae CH+ DK
  28. omnium minimae
  29. sec +XX + m Vf - 2fX +XX + dd aequ. y.
  30. Ergo pro manima 2Ix e-a2mf +2mX aequ. c. Ergo m
  31. Scc+X
  32. et faciendo DE aequ. CE. erit
  33. -
  34. l. X aequ m. f-X
  35. Ergo l. X. DE aequ n. f - X. CE
  36. idem vicissim demonstratur s
  37. e xx sit aqu qque fiet: Xxaeqo 2Z. CC et X aequ( ZZ cc. et fier 1Z +. moss- 2f s cc +4 cc +d ∞q
  38. s
  39. demonstratio linearis non adeo facilis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 25, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068043:0015?run=73