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Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 406

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: 0.88.

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The machine reads it as

  1. ARITHMETICA
  2. Nam (per principia Mulica) eadem chorda (aequabilis de aequaliter tenta) So-
  3. PrOD. XCVII.
  4. +06
  5. AD, AD, eC. loni eruNE vE DB, DB, _C. per PrOP. 88.
  6. nos cdic longicudinibus reciptoce proporioales. S CMoa LIIL HL
  7. lAOP. XCYII
  8. Corollarium.
  9. plana Parallelepipedi (quippe serres aequatium) aequalia quadratis re-
  10. ctarum Paralleloerammi AD F ad respectivas rectas Complementr Se-
  11. miparabolae ADB (Seriem scil. Secundanorum applicentur; prodibit
  12. tur conslari fieura plana ADB, erit ea interminabilis; co curva illas ter-
  13. minans duas habebit Asympioras rectas AD, 4d.
  14. series rectarum Secundanis reciproce proportionalium: F quibus si suppona-
  15. Probatur Codent odo quo propoticiones aliquor prxcedentes de lexie reci
  16. Proca seriei Primanorum.
  17. PR OP. XCVIII
  18. Corollarium.
  19. Dem contineetus s plana Legramidis sic applicenter ad rectas complemente
  20. send paraboloerdis Seguudraticalis: vel plana Pyramidoeidis Parabolier
  21. ad rectas complement Paraboloeidis Cubicalis.
  22. ersitr
  23. Nam e iltic index seriei diridenris binario superat indicem seriei dividenda.
  24. PR OE. XCTZ
  25. Corollarium.
  26. N ejusmodi serie secundanis reciproca, rectae DB, aB, Cc. sunt in reci-
  27. procae rationis Diametrorum (vel distantiarum à vertice) ratione dupli-
  28. catam (sive ut d A9, D A9, B5.)
  29. Ouia nempe reciproce proportionales sune rectis DB, AB, dec. quae sune in
  30. diametrorum AD, A d, dec. rationis directae ratione duplicata. Puta
  31. A
  32. B
  33. DAG de
  34. P R OP. C
  35. Corellarium.
  36. N tieuta patao (A DB(3) ex serre rectarum Secundanis reciprocarum
  37. constata inscripta Paralleloeramma (ADB, A d B,) sunt interceptis dia
  38. metris (D A d A) reciproce proporcionalia.
  39. Sune enim (per 23. C6) ut D A~DS adt d A ndL st duiem (per praced.)
  40. dB

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 406. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0426?run=74