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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 24v

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: 0.77.

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The machine reads it as

  1. Dio phantea; et illud generale: Datam aequationem rationaliter explicare, ut sit aequatio ad
  2. curvam Ellipseos Conicam: Sranfax +a + 1 s F. equanda cui Ergo
  3. quadrato a seu 2. sit ( ZH = + f0+4 r1. fict: a
  4. E
  5. rapfaxt
  6. a1)
  7. +a +i(+ a +1)
  8. sed sic res ut video nondum absoluta: procedamus rectus: et scribamus. saerax +aeq FGt1, 4 a 279 ax + x
  9. ubi formutate nomnatoris is quanda quadrato
  10. 1
  11. forte utiliter reper poterir privi seminbsoluta: a
  12. 24X + a x
  13. 24+ aH a + 2FFaFI. mo video ne hoc quidem si sufficere
  14. debet inim non defunte, seu incasu particulari sed indefinite reddi rationalis. Praeterea non nusi duae
  15. restare debent literae indeterminatae in una aequatione. Itaque vertia assumta quantitate co
  16. explicanda per eam X, ita, ut possit extrahi radix ex prima formula seu oalore ipsius Z. ut scribatur
  17. 2ar1a (+9+) s4 co Co ra F a + ( 4 +1) H 4 4 1, roocemus (8. et Co
  18. raxfatp, V +av 1a+ 4 Xt
  19. fier:
  20. vira +2vara et ausus:
  21. an +L) rapar XII raY +x
  22. 143 4 x F X x + 4) vax + 2) a XV.. sive X (f 29 v. + D
  23. ed ita ex 3 + 2a3 potes deberet radio extrahi posse, ubi
  24. + 4 vi.
  25. X ascendit ad quadrato quadralum, adeoque res difficituor a
  26. prorsque vam intio unde recordiendum redordiri possemus at formulis Et
  27. sud id nunc non opus, sufficir mello dum lenere. Imo u
  28. 4
  29. t
  30. ..
  31. speformulae e res multo simplicior reddi potest. cubtumus 2ax + 4 Xt r ∞. fier YZ +Y E
  32. est radix ex E + yE2. (1 +7E8 et ⊓G+ Y E G aliter.
  33. 3
  34. tq
  35. Z extrahenda
  36. 8+Y37, V XY seu 1+ VEF 2p eC. sed nor et hit munc immorandum. Sufficit metrodum genere, at tantum
  37. ad mocuruinem seriei rutionatis solutio problematis diophantaei supersit.
  38. C2gi
  39. remxpptims
  40. fict 4m Ce aqu.amires sic ua pr redit quia incognila
  41. ide
  42. 1
  43. mo sintumqus ceci erta

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0048?run=74