Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 221 · Fatio de Duillier, fol. 7v

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: 0.90.

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. 8r); this page is its left half.

The machine reads it as

  1. Jactis Termino primo ex tertio in eandem Summam.
  2. ductaque Aiquatione in
  3. 8a3X
  4. ax
  5. a ave HC
  6. s
  7. Tollendo Terminum tertium quartumque, vepote
  8. caeteris infinite minores, et reliquos more Minimi
  9. tractando, AE
  10. ex i 5
  11. a =O; unde prodit u = 2 =; Qua ipSiAI-
  12. ma est Solutio, quam priori Calculo, eoque elegan-
  13. tiori, inveneram.
  14. Neque dubium moveas utrum Arcus circularis, ab
  15. a ad e ductus, cui describendo minimum Temporis im-
  16. pendatur, perpendicularem H E, in eodem Puncto c,
  17. lecet, in quo concurrune Rectx aequales a O, G E, Qua
  18. minimo lempore itidem describantur, inter innumeras
  19. ejusmodi Rectas. Ouippe, propter parallelas ad sensum
  20. inter le Lineas omnes, in arcu infinite parvo A O e,
  21. Tubtentas; si, quo Calculo uli lumus, ad inveniendas.
  22. lOco ipsiUS AE, RectaS a C, OF, eodem utamur ad in-
  23. veniendas, loco Subtensae cujulvis alterius, verbi gratia
  24. A6, S T_C, ROCtaS NOVAS A N, N O; 5 L, 2 Y _C, _
  25. sic in infinitum; decrescentibus hac ratione continuo
  26. Subtensis omnibus, evadent illae tandem in ipsissimum
  27. ATCUI AOF.
  28. Invenio inter Chartas meas, ante Annum unum vel
  29. alterum conscriptas, me ipsissimam Ideam habuisse,
  30. quam CI. J0. Bernoullius lecutus est, in Inventione
  31. Curvae Brevissimi Delcenlus, juxta Fermatii Doctri.
  32. nam Retractionum. Calculum iplum tamen non insti-
  33. cueram, quamvis Facillimum. Sed ex illa Pheoria vi-
  34. debam l’angentem Currae Brevissimi Delcensus Catim
  35. ubique dari. Ouod ad Solutionem sufficere constat.

Cite

LBr. 221 · Fatio de Duillier, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 251). https://leibnizlegible.com/page/DE-611-HS-971125:0014?run=251