Leibniz Legible

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. 82

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

The machine reads it as

  1. D5 C755OTD
  2. Fermatio paulo anre disserueram) sic et spatium hoc Cissoidale ex
  3. noltra Infinitorum Arithmerica suxpedicare possem.
  4. Id ivaque Ctacim qui fieri polle, sequenri demonstratione in-
  5. dicabum; quam non pigebit hc repetere.
  6. Si dueantur rum Z (3 H diamecer, tum recta R C, _ R L
  7. (diaeEO C F in L OCCUEreNS:) oMtendic PapPuS l. 3. P. 5. PFO-
  8. PEeE cum Z Z bisectam in HI, cum ZR in C, rectam R Z
  9. rectae GII parallelam esse: Adeoque rum ZC K angulum in
  10. Temicirculo, cum angulos ad L, rectos esse: Et consequenter re-
  11. Etas Y F, L. K, L C, L Z, concinue proporrionales. Ouod qui-
  12. dem non minus valet de puncto 2 quoris in Ciloidis continua
  13. tione exrra semicirculum, quam (qui Pappi casus CH) ubi inEra
  14. Temicirculum concingit.
  15. Ponamus jam rectam F C diameerum in aequales parceS nu-
  16. mero infinicas infiniris punctis L. diridi. Frune icague omnes
  17. C L, VC Z, 2, 3, 8c. drichmetice proportionales, quae succes
  18. SIVe dICAREUT, a3 GUAFUI MAZIMA C F diCaTUT Z. FrIEque L R,
  19. (Quippe media proporrionalis inter C L _ L I, hoc est, inter
  20. a D = a3) N: a D= a. CUIque SIE UE L B ad L C, SICLC
  21. ad L. L; erit
  22. a
  23. V: D = ad
  24. sive
  25. s
  26. s
  27. aD
  28. 2
  29. el
  30. V ax
  31. Erc
  32. V. Hloc est, omnia qua-
  33. drata L. Z, sune series Perrianorum, per seriem Primanorum in
  34. verse policorum, respectire divila: ipsaeque L. I. recta, in horum
  35. Quadrarorum racione subduplicaca.
  36. Quod aurem omnes a 7 = hoc est, omnes L. Z. spatium
  37. F C Z A F complences, ad omnes V: a D = a: vel V aX N:
  38. Du a: hoc est, ad omnes L. I complences semicirculum, GinE
  39. in cacione tripla; ex principiis Arithmericae Infinitorum (IC Col-
  40. ligimus.
  41. Si series subsecundanorum sive Va, in seriem primanorum a
  42. inverlam (hoc est, inD a) respectire ducatur, het series D d a
  43. a V a sive D N a =V at: qua est ad seriem A qualiii sive con
  44. sidem D N D vel Y D, uc Z 3 ad r, Eiveuc 4 ad 25. (PeF
  45. oTOP.
  46. F19, 220

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0098?run=74