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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. 114

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: 0.84.

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The machine reads it as

  1. Curvarum EvdovoS.
  2. Exempli graria. Si S = 2 (quadeatum desIgnanS) adeoque n
  3. 431= 3, _ K = Z L: erip S: + 2a K: a +qa X+qa X
  4. Adeoque Trilineum ad circumleripeum Parallelogrommum; ue
  5. + A + 4A R
  6. d
  7. 1
  8. +4a = K2
  9. 3L2 3 ad AT = NEDLF; sive, uE
  10. 5a+ +6 K + Z A= K, ad L V DZ
  11. Si 5 = 3, acleoque n = 6, 8 i = 5, e R = Z L: FrIC S: a
  12. + 2 a R: = a F 6 a R + 12 at R= + 8 at K: Adeoque Trili-
  13. neum ad circum (criprum P’aralleloorammum ut ZA + A2 K+ = 2
  14. K. + 2∞K, 1dL V D L0. FE in reliquis similicer.
  15. Sin n= 2, ddeoque cum S, cum 1, = 1, Poceltatem primam
  16. delienans, mulciplicacione opus non erir; (cum ipsa quaneitas ex-
  17. Polca, ejusque porellus prima rancundem func:, lune icaque om-
  18. nes p (Erilineum complentes,) omnibus a= F 2 a R sigilLitim
  19. Proporcionales, hoc elt, uc guadrata ordinacim applicaarum in hy-
  20. Perbola; live, uc ipEx rectae (diamerro parallela) in complemento
  21. crunci parabolici, (quod nempe cum ipsocrunco complet cir-
  22. cum scripcum parallelogrammum,) quae quidem rectae, quadracis
  23. dedimtim- applicacarum in hyperbola lune proporciomiles.
  24. Locies vero neltnumerus impar: adeoq; snumero inceoro no
  25. assienabilis: Pr0 S: a + 2 a K.
  26. =p. Eiltendum eric in V. a2 + 2a K
  27. p GuX Casu, LICCE R _ S quadraTUEX Capax nOn (IC, adeo-
  28. que nec A O ivdvioras: II tamen Conoides, illius corvertone
  29. circa H S, magnicudinis noca; adeoque _ complanari porerie
  30. superticies curra conoidis quae recta A O cirea A D describi-
  31. cur. Sed non & exinde, proprerean
  32. exhibebitur etiam sermi-
  33. superticiei C. onoidica inomencum respectu axis. Ouocies vero n
  34. CiLMUIMETUS PAT; POterunE ea ommia extiberi. Acque dehis hacte.
  35. nuS.
  36. Denique, uc rorum hoc de Paraboloidibus negorium simul e
  37. semel absolvam. Siennumerus quilibet, m= n + X, i= n - X
  38. srque Z == 2 a, Qn = 2 i: delienet aurem ipsius n ad m respC-
  39. etus, quora poceltas diamerri quocx ordinatim applicatx poreslaci
  40. PEOPOr.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 114. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0130?run=74