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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 72

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: 0.87.

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The machine reads it as

  1. FVSooS Curva linea Cycloidis primariae secundum merhodu
  2. Antignorum demonstratus.
  3. Definirio.
  4. Ronicudines intinicum decrescentes sune quarum non da
  5. Problema.
  6. In dato Semicirculo ADD SubrenCaS quorcunque AD in daca
  7. catione concinua disponere. Sic RatiO A M ad A D. DUCAEUE
  8. CIrCUIUS AMM; tangens in A; _ Fat ubique AD (subrenta
  9. majoris circuli) aequalis ipsi AM (ancecedenti subcensae minoris.
  10. circuli.) Dico ipsas A D esse in continua ratione ipsiuS AD ad
  11. e
  12. AM. Junctis NN, _ DD, VeI NH, _D.D, e sic ubi-
  13. vis; GuonIa MM, DD Cuntparallelae, ob aequales in similibus
  14. segmentis AngulOS: ergO PATeE DEOPOTIEUM.
  15. Scholium.
  16. TiEdem posiris dico hranc subrensarum rationem in infinicun
  17. concinuari posse. Nam E non possit, ergo dacur minima subren-
  18. Ia, quo minor duci non potest: sIE ea verbI grALIa AD, seCANS
  19. minorem circulum in Mu.
  20. lis ip( ANI: ergo A s est minor minima, quod est absvr-
  21. dum; ergo non dacur minima, eiso ratio subrentarum porest in
  22. infInIEuM COnLInUALL.
  23. Temma.
  24. Sint eres circuli, tangentes se invicem in puncto A, quorum
  25. diametri AF, A F, AC sunc in concinua proportione. Circulos
  26. autem secet recta ANDC; item recta AuSK, ITA UC AS APTCTUE
  27. in medio circulo aequalis ipsi A M minimi Circuli. Per puncta
  28. deniquese D medii circuli. ducacue tam s NN O, diametro
  29. perpendicularis, quam DB ipEI SN parallela. DicO ipIaS NM,
  30. et s esse aequales: ILEM ND, SK: IFCM DC, n B. JUINSANEUEKC;
  31. item ML: item MF. Duonia AuMF. est quadrilacerum cir-
  32. culo inscripeum; ergo angulus externus suM aequalis est op.
  33. POsicO incernO AFM; sed anguli ANO, AEM ob Cimilicudinem
  34. eriangulorum sunE aequaLed: er50 anguli sp M, SLVM TUNE aqua-
  35. lC5
  36. F18. 15.
  37. 18.20.
  38. lit hubltacndo

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0080?run=74