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. 418

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: 0.80.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ARTTHMETICA
  2. Prov.
  3. _cc. proportionalia.) Ideoque ( supponames semiparabolam ita sectam sic in le
  4. replicaesu ut punctum P puncto A congruat tocusue sexu MLO transte.
  5. ratur in licum M Aco, (ut ordinatum applleala interioris lesmenti ordinatim ap.
  6. palebit.
  7. l
  8. vleabio superiorio ivetse selsondedi p rat ceditu
  9. S. CCLALCaLLONC
  10. 1:
  11. V: R -
  12. 0.
  13. V: R
  14. I: R
  15. V: R -0. Y: R
  16. a
  17. L 2. a.
  18. V. l -
  19. V. L = 3a
  20. V: N = 44. Y: N =9a
  21. desiicit
  22. FToruM ISIEIE OMMMIM agGCGaC au Maxum (V: R2 -0.VNR
  23. toties potitum, (HoC C tostaum provolvum ad Parallelexivedum ejusdem balis et
  24. alricudinis,) ut Circulus ad Ouadracum Diametri per Praced. P. F propterea étiat
  25. mediae proporcionales erunc in subelliplicala racione ordinatim applicacarum ipt
  26. circuto vel ellipti, ut patet.
  27. PROP, CZXII
  28. Corduut cato.
  29. 0515t
  30. ad Cytindrum (vel Prisma) circumseripium; est ut series infinita aequa-
  31. num mulclaia serie seculunorum, ad seriem rocidem mavinio aequalium.
  32. Sequitur ex PrOP. 1ZL. Nam si mediae
  33. proporrionales inter diamerri segmenta,
  34. quadrantem circuli (vel essipscos) com
  35. plences, jam tieri supponaneur cocidem
  36. aliorum circulorum invicem parallelorum
  37. radii, semislem Sphaera (vel Sphaerocideos)
  38. complencium, (vel smilium quorumris
  39. planorum rectae similiter polia semi pu
  40. ramidocides FIlipeicum constimentium:)
  41. erune hi cireuli (vel plana) in dupli-
  42. R - 4a. R =0a _c. (Tunc enim rectae illa V: R =0
  43. V: R = 4 a. V: R = 9a SC. Per PFOB, 1Z1.) Ideoque hOruI
  44. omnium axprexatum, ad assrexacum ommium maximo aequalium ut 2 ad 3. per
  45. Loc est ut 2 ad 3.
  46. CsEd 1S : 21133Bev
  47. Temq Sphiera (vel Spheroeides aut eriam Dyramidoeides Fllipticum
  48. c15
  49. Ut R.-
  50. I: D2.
  51. 0
  52. DrOD. 1I8.
  53. cata ratione Radliorum Tuorum (sire rectarum similiter potitarum:) Hloc est
  54. ROP. CAXIV.
  55. Corollarium.
  56. Tem, si Frianculi ADB recta respective ducantur in rectas Trapezii
  57. ADB (aeque altr, ique ut so Lriangulo Paralleloorammum com-
  58. pe) qua Podeun rectangula erunt aequalia tonidem similibus plats
  59. Conoeideos (vel Pyramidoeideos) Flliprici: et mecu proportinales DF
  60. DE, Oc. Frunt ordinatim applicatae in (Cireulo, vel saltem) Fllipsi.
  61. Demon-

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. 418. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0438?run=74