Leibniz Legible

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. 400

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: 0.92.

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The machine reads it as

  1. DC
  2. ARTTHMEHICA PFOB. DXXVII
  3. PRO P. LXXVIT.
  4. Corollarium.
  5. L ADB Parallelam rectae DB in rectas DB Complementi Semi-
  6. parabolae respective ducantur; rectaneula producta erunt Series Secunda-
  7. ris prae norum: Mealae aulem proporcionales, Series Primanorum, (Trianculum con-
  8. ed
  9. Surotrum AD F.)
  10. Nempe, Series A. Guana I Seriem Secundanorum sic ducta, dat Seriem eriam
  11. Secundanorum, (quia 0 f 2 = 2,) corumque radices quadraliex sunt Series Pri.
  12. manorum.
  13. PROP. LXXYILI.
  14. Corollarium.
  15. Y Trianculi rectae DB respective duean-
  16. tur in rectas semiparabolae DR, rectan-
  17. cula producta erunt Series radicum quadra-
  18. ticarum Lertianorum, e mediae proportiona-
  19. les, radices Biquadratieae Tertianorum, DF.
  20. Dempe, Series primanorum in seriem sub.
  21. secundanorum sic ducta, dabit Seriem radicum
  22. quadraricarum Tertianorum, (quia r f 3
  23. quarum radices quadrariex, sune radices biqua-
  24. draticae Tertianorum.
  25. eROP. LXXIX
  26. Corollarium.
  27. TTrianguli rectae DB respectide ducantur in rectas Complementi semi-
  28. parabolae DB; producta reclangula sunt Series Tertianorum (quia
  29. Et mediae propotcionales, radices quadraticae Tercianorum,
  30. 3.)
  31. Demonstratur ut praecedentes.
  32. IL. LXXX
  33. Cdlollarium.
  34. rectae Complementi semiparabolae
  35. in rectas semiparabolae respective
  36. ducantur; rectantula productà̂ erunt
  37. Series radicum quadraticarum duin-
  38. tanorum (quia 2 Y 2 = 2;) es mediae
  39. proportionales, Series radicum biqua
  40. dratuvarum suintanorum. Ot Patet
  41. SC TYOL. YV M.
  42. sione prorentent, sudicandum erir. Or si triansuli unius recta Iectas LHan-
  43. suli alterius (hire limilis sire dissimilis, modo aque alti,) respectire ducantur
  44. tiet Pyramis; media vero proportionales constimmene etiam Priangulum. Semi
  45. parabolae unius rectae in rectas alcerins respectire ductxe, eHicient Pyramidocides
  46. Parabolicum; media aurem proportionales semiparabolam. Lt sic de exteris.
  47. ROP.
  48. Et pari modo de liguris sive planis sire solidis, quae ex ejusmodi mulcipliez.

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. 400. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0420?run=74