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. 99

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: 0.86.

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The machine reads it as

  1. EF TINANOUOS.
  2. Ex CONVerSONe A T _ R quadritinei, circa A H, descriprum ; SIC
  3. Esuperficiei currae Cplindri circumseripei, ad curram conoidis
  4. Patacolici suxerkciem. Flaurem quod sic ex illa crianguli con-
  5. vertione, Z Cplindri alcicudinis Pa. Guod aurem ex quadrili-
  6. neo sic converso esicieur, est Cplindrus (C; u(dem b.(15) alcirudi-
  7. nis Tu, dempro Conoide Hyperbolico. Elt aurem Conoides il-
  8. lud Eyperbolicum (Der DrOP. 163, 264. Arich. LuFIII.) ad cir-
  9. cumscriprum Cylincru, ue = 7 + 3 D ad Z FD, (Teminis 12
  10. ceristran(verhum cum criente diametri intercepex, ad ejusdem
  11. laceris eranver ( _ diaeEKI aGGFCGATUH:) HIOC CA, UE A H +
  12. I s ad A K F T. v: Adeoque cylindrus (c hy serbolice excavacus,
  13. ad cundem plenum; uc Z 2 + 3 D ad Z F D, SiVe UE A H + Z K s
  14. ad A H F Tn. Ergo (pronrer equales omnium bases,) UC =Tn;
  15. ad T a minus
  16. A R F T _s; vel ad AK + AH + Z K s
  17. A H + =Rs
  18. A H + Y K
  19. IE S: sic 3 superficiei curvae estindri circumscripei, ad curvam
  20. concidis parabolici supertciem: Er (inulciplicaris anrecedenti-
  21. busin E,) uE P a, ad candem A K L
  22. AR.
  23. R S
  24. A H + TX
  25. R53 SICC)IIA-
  26. dri circumseripei superficies curra, ad curvam Conoidis parabo-
  27. lici superkiciem. Oux num inventis eins consentiane, vide (S,
  28. Ouam vero eadem pari bOIX CUrVA CIFCA A T CONVeNTA CUDCTH-
  29. ciem deseribie, (Proprer eum diFFCTENLIAEUI RECTAEUM TO, tuI PAE=
  30. ei ularum curvae, ab AT distantiam co, in carundem ab A H di-
  31. stancix ratione duplicaca, erit ea superficies curra, ad circulum
  32. Temidiamerri AD: non quidem uc ipta solida modo dicta, (ex
  33. convertione quadrilinei A R n T, e crilinei A a T, CITCA A R,)
  34. sed UE seri SOlIdOTUI HOTUM MOMeNEA resDCETUI A H recte; vel
  35. UE OmNeS Cn ad oines EN, in respectiratum suatI, ab AK di-
  36. stanciarum quadraca. Oux quidem racio, non magis explicabilis
  37. est, quam ipsa Ouadrilinei ad Tritineum ratio.
  38. Verum (ut ad alia etiam, exera Paraboloidum genero, cransea- EIlipsis ex
  39. MuS:) PerpendAUS CUEVaM A B C AG. 7. Quam Fllipsin expan-
  40. sam dicimus. Ouadrata parciculorum hujus, vel carundem, sub-
  41. Eentarum, sunt ut quladrara differenciarum sinuum vertorum (in-
  42. cixiendo ab A vel C,) sive differenciarum Pinuum rectorum
  43. verinque a B procedendo,) quadracis aeqgualibus austa. (Ouod ex
  44. 1F
  45. pansa

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 99. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0115?run=74