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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 89v

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: 0.82.

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. 88r); this page is its left half.

The machine reads it as

  1. Aequati resolvenda pro dimensione curvae conia centrum habentia est.
  2. ec bdco = X do sV: +cevo
  3. V.4a - v0
  4. eifint v ex + Bb
  5. 2X+ 2b
  6. posito esse b axe rectum, seu latus tansversum
  7. primarium, e distandiam focorum. + est pro Hyp et = pro Eli
  8. itaque reterto quod invenimus esse Bat + ter bat= +Brr
  9. Video igitur non posse suunt nrumeratorem a nominatorem fieri extrahibiles
  10. forte ulilius uit farere Nominatorem si Numerator solus sit extunhibilis siet Numerater Gxtrast
  11. ece Xar + cceib, seu
  12. S ut numerata sintextrahibilis video fuisse erratum
  13. bB X nempe pBE2 scublum est brY, ce sic ergo:
  14. 18r)+b eat +br e+C βat= (6 f 26 reeat(t e 5a f)
  15. d
  16. tq
  17. sit at + FB - 2 at BY = 0 seu at = D BY
  18. et Numerator extractus erit b + ee B. X +Y. Sed jam rursus video si at = BY
  19. idem Quodsi Nominatorem velimus redder
  20. extraribiem, si prodibit idem gempe Br= at quod ut dixi non licet
  21. fieri V constantem = β: 2..
  22. quoniam ergo extahibilitatem hac via obtenere nor liet
  23. pesc srctum simul terminorum destrnctionem, quia tunc tertius itidem
  24. destinitur, superest, ut videamus anliceat obtinere ut numerator Xt nominator
  25. habearit communem divisorem sit X+ h in lx + m fit lXX + hlX + hm
  26. et similiter ∞ = h in px+n = PXX L heX + hn, harum formularum prio
  27. aequetur numeratori, posterior nominatori f l = b + e0 βB M = 264 2ee pat - hb qhes
  28. a Caf
  29. et hm = 7 bh + reeBath - h b 4 he
  30. c
  31. B2C
  32. similiter p = bb - BC n = 2bbr - 2B at - bbh + Bβh
  33. et hn = 2brh - 2Bath = bbth + (Bhh = b r - ae F
  34. aeq. D multiplicetur per bb, fit 2b rh - hhb- Vr = 4 2Cea t + h eβ + eat = 2Bb ath
  35. Ergo oportet facere vel 4 ec = bb e quod non fit nisi in casu ciiculi,
  36. vel fit a t + B h = 2 at Bh = o seu at = Bh, sed
  37. ita fit quoque YY+hh - 2th = 0 seu h = Y ergo at = Y redit, quod
  38. tamen evitare volebamus. Itaque etiam obtinere non licet communem
  39. divisorem.
  40. e
  41. ba

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 89v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0180?run=73