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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 169v

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: 0.81.

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. 170r); this page is its left half.

The machine reads it as

  1. rposecto conca data 24 x) 2 s- 2+ + Lust, ila ut malar ipsigb
  2. ita ut
  3. ac
  4. H Eeie ut fiat 2 aXZ + 1)(2A V utplicetur, aequiralea
  5. v
  6. 7+ 2y +qu
  7. unde fiet + +Z + t q p Sy + qu. quae ut apivaleant
  8. prioribus esto qole e7 bg Ck et 95i b9 se, et Z e 1X.
  9. da ZH X +C
  10. Unde fiet a X 1 rac + a X siumatur differtutia iner ipsam bq mventum
  11. et ipsum 4, quae differtntia cpto C. 2 Cum ergo sit 4 seu ceo 9 + C r bqE per
  12. consequens pro +ZF4 substitui potent vntar ipsus 9, seu b4 -e unde fiet
  13. 4 Z ++ bg- t e, quam eo magnitudnim comparando cum
  14. ++ x +bg, fet Z AX A F e, vel Z FX + e
  15. fiet C
  16. +
  17. Unde rax f nac + X lico caZ + a y0
  18. Positae diri rax + rac f a x + a C a 2a eX, loci 3aZ + a q
  19. 7 69-9
  20. restant comparanda a
  21. intr vr +7
  22. 2bX + C X + h p y.
  23. et h H qu+ b
  24. acr 17 n + l
  25. arbitrariae
  26. sectionis, conicae ae quatio, unde
  27. + 246X + X + qb + aγ + 9h + qu10
  28. et + + qb F 1x FI s+ 4y + 4 h + 4
  29. Esto jam sectio lonica data 2aZ + a x 3
  30. Unde fiet 4aZ + Z + q + 4 y +g4, Et extracta radice
  31. + 9 + F Z 5 +qy + q
  32. onati +q 4 e 17 Xetmriq imparando 4 + _ + + X cum + f4 tq, et
  33. aufeendo utrobique + +4, restabit X F, Z+ e
  34. dende conferendo +Qy cum. + 4y, fiet cri a. denique comparando
  35. i
  36. q un +2h + qub. fet q 5 + + 20, et lp + aq + 96
  37. Applicemus ad parabolam, et pro abx + CX + b, Y y, substituamus valorem apsarum
  38. X. C, et h. fietque:
  39. + abZ + 2be (ib9 - ab4) + a q. + a (qt+ qtb - 2916) + ag + ab. 53
  40. sed ita eoomescerent
  41. Unde necesse est a4 F aq + qua + agba b, quoque esse infinite magnam, quod
  42. Unde cantionem discimus, ipsius h valorem ante radicum extractionem investigandum.
  43. eest ergo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 169v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0338?run=74