Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 396 · Hermann, fol. 38r

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: 0.73.

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. 37v); this page is its right half.

The machine reads it as

  1. odin qua aquatio designet
  2. Curvam (fg. I) ABCD
  3. qui mutatur insfig. 2)
  4. ANa rcurvam AB.G. CD os insupo
  5. Bex b et equatio e = ex =bjec pata Merten AGe habere mxmanu applicata
  6. 50b Bn m ad
  7. velut 7 qua deberminabis punctu regresus evangcente Beaut b aut appropin-
  8. ot 127. 147
  9. quantibui sili invicem punctis flexus contraru B et C. Celeborr. poster Bernoulluu
  10. et ndex ola
  11. d
  12. suns supor hac cadem re aporuit cogitationes quai jam à compluvitus auus addu.
  13. ra
  14. an ga. Foulgar
  15. Marchionem taspitatuem de misisse diul, ii, dit vrdie in puncto revercionis ee
  16. infinitas tangentes, quod ose Curor fy. n) _ B90_ facule demonecratar, nam
  17. pars BGC infinitas tangentes adnittit et infinne omnium possibiluum dlirectionum
  18. evanescente autem b, au BC, cuvv. ABGCD mutetur in fig. l. et a quatio
  19. ∞ = axx - 63 en y = a qua prini pooson et ef. Idem hac quoque ratione ontaudit
  20. sumit in axe FC, Curva ABC, (fig. 1) punctu F pro initio abscissavu sibius moxo.
  21. nit inveniendum punctu D, in quo subtangens sit ad applicatam in ratione
  22. 1ad m, sitqeF=C enitque aequalio an X- C =y unde 2adX, X- c = 3ysdy
  23. unde 39y. 2agX = c :: cx. dy :: 1. n Ergo 3nyy = 24X- 24G vel X E 12
  24. vel 8
  25. 27n
  26. e
  27. 3 X~C= an X - C aut X - C = 27n3 , X -c qui aequatio reducta
  28. Baa
  29. cubica erit ejusque radices puncta D detirminatunt uti subtanguns sit
  30. ad applicatam in ratione et ad n; revum in illa aquatione Cubica binomiu
  31. Xa quoque radix erit cum totata aequatio per id dividi possit ine se
  32. c
  33. dC ae
  34. de a
  35. e
  36. X =C, x quo sequitur menetu e quasito quoque safirfacere
  37. 12
  38. e ee seod
  39. docap nt
  41. fe
  42. Aviclus exxpecto Respontionem Jucen in etati quor ad spregoru
  43. objutiones contra vortices reponere voluiiti. Evolvi Gregorû Astrono-
  44. miam sed non multa nova in ea invini, mihique lapsur in eo vicletur
  45. in eo quod asserat Ellipsin Casiniana cum propoiitatem habeve
  46. ut areuu circa unum fouu sint proportionales angulu responduntibus
  47. circ alteru, facile cuim ostendi potest Paralogrimus in demonstateote
  48. Saccum habencibrs quales Amplitato Tuaoconcnitis sit; sons = ax
  49. qve
  50. fig. sive qua 6 00 aciq ue
  51. ado
  52. eg
  53. tg
  54. e
  55. a

Cite

LBr. 396 · Hermann, fol. 38r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 313). https://leibnizlegible.com/page/DE-611-HS-973581:0075?run=313