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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 107v

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: 0.85.

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. 108r); this page is its left half.

The machine reads it as

  1. C25, nd easdem partes cavae
  2. sit currae ad tangentes, C, T. occurrunt rectae, T2F, juncta
  3. 1C2C, pro ducta, e occurram eidem rectae in M. punctum
  4. M indet inter puncta et. 2T. modo curra non habeat puncta reversionis
  5. Primum sit cuva ad easdem partes cava inter ex trema sudi puncta
  6. tangens pasita. inti extrema sua puncta posita, seu indeo
  7. nullo langentium sit ipsi 173F parallela
  8. quonim prodacatur ipsa re + e Sunqum 1 C sit propius rectae
  9. T2T. punctum LC remotius producta 1T.C, ipsi 2Y~C
  10. occurrat in a. uit et ex puncto 1C, ipsi 1YZY. paralleta
  11. occurrat ipsi 2T2C in puncto β.
  12. ipsa 2T+C, major est quam ipsa 2Ta.
  13. nam ex puncto 1C, ad rectam 2T~ C, duae ducuntur
  14. rectae, una Ca, attuae 1 C2 C. ex quibus prior est
  15. extra curvam, cumc sit punt, C2C, cum sit porcio tan
  16. gentis pposterior cum sit chorda sive inscripta, tota est
  17. intra curvam; at quae intra cunrum tendit itaque illa
  18. minus cum hae tres lineae 1C ax +CC recta; 1C7 rCcurva
  19. iCnC recta, tendant omnes deorsum, sive reced ant a
  20. nam 1TC est intra d,C cun c M rectam siaum si popibile esset dC M infra
  21. curum C Y esse, ut in 1C (M) ab angulo contattus ECS posset auferri rectilineus .X, (()
  22. est ergo M remotius ab A quam 1T. cumque recta C N ipsam + porro cum ergo
  23. rscta 2CM. p. sam est antem Ergo M C est inter cunae porta Porro recta
  24. AVC, ccepario est portionem ad tC pertimentem nbet intra curvam, adeoque alioqui pam
  25. nons At Ar C est infra 1C,T ex constructiones ergo Ergi Moc est
  26. supla ipsam 1F16, et (iat ex constructione ipsa Are 11 C est supra ipsam AIC,
  27. engo rC est cutra ipsas AIC est AC, adeoqT cadit intor s puncta Aea M.)
  28. contra ergo 16+ C erit infra 1Ca. adeoque punctum a supra punctum
  29. ALE + A3C4 = ALeA 1 AL reA ....
  30. ABE~A = ADL = ALAB AZ5. A
  31. a 2ADL + 2ALA
  32. S Ergo ADY Ap, ALE + AE A + ADL
  33. L42 ALD
  34. ADE A p A EA = ALE+ ADL
  35. ADE AI H ALCA + ABL + A ALA + ADL
  36. Ego AE2A + 2 A Dt + A L A p AZEA
  37. ALE B 2ADL e2 AEA
  38. H rareA
  39. AEEA+ AtE + (AD~ (A A DCA)e ALE A(AE AF A DL)
  40. ADL ( CLA. Em ABL B AL EA - A E A
  41. I A NLF A (+ ALD ALE B AEA
  42. ADLCALA
  43. ADA + A 1B B AEH A2. CA
  44. a.A. BECA + 1BL E1B B A1BLE. CA,
  45. A.BA + ALE eBL E B AL
  46. ALC L AC, 14 - 4 L, B A B 21L E. et
  47. A LE AIB= + 1 BLE -
  48. AIBE A + A1BA B AGCA
  49. AIB E A + ,BLE 1 AAB LE
  50. AIBEA + 1BLE

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 107v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0214?run=39