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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. 87

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: 0.87.

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

The machine reads it as

  1. D F CISSOTDE.
  2. inracione rndiorum CI hoc est ad erune omnia momenea su-
  3. perficierum illarum semicylindricarum, series a V
  4. Dum a
  5. Dum a
  6. vel
  7. Cujus seriei rario ad seriem aequalium, sc colligieur.
  8. Ceries Va inverse ductain
  9. series 1. a. aE.
  10. FatIONCS 2 2X2 2X2Y4
  11. 2X2X4X6
  12. at. Rc. dabie
  13. 2XZXAXOX8
  14. 9.GRLLGKZZKL3 OXLIXLZXIS GXTTXLZXIGX7, _C.
  15. Adeoque cum series v’a in seriem v a inverse ducta (uE ex
  16. inquilicione primum Facta collisitur) sIE uE = X 2 X 3 =.
  17. 20 6 8 TC
  18. ad Y. liOc estuE 7 2d 64D; supplebimus incerjecta loca ad hanc
  19. to:mam. Nempe seriesra inverse ducta in
  20. series = .. F. Va. a. V a. a. V a. _c. dabic racio-
  21. nes
  22. 2
  23. 2 9 242 9
  24. 2X274
  25. 7
  26. + 5
  27. 20- 64B 964+ OXII64B X2, OXITZ1364D 12 24 _c.
  28. Momentum igitur superficierum omnium ex rectarum L L
  29. circa C a Temiconvertione Factarum, in Suo scus hoc elt, solidi ex
  30. Temiconvertione spatii Cissoidalis circa C a momentum in suo
  31. Stu, respectu Ca rectae; elt, ad roridem A qualia, nempe momenta
  32. cocidem superficierum, rectis C F aequalibus in distanciis C F
  33. sericonversis factarum, in distaneia masima CUSPENTaTUM, UE
  34. 7
  35. 20 640
  36. ad =, CivC uc 35 ad 32∞. Fst aucem magnieudo ad
  37. maonicudinem, uE 5 ad 4 p (momentis urique planorum pro-
  38. portionales:) Prgo distancia ad dictantia uc 7 ad 8: Nempe Ziltius
  39. diltantia quam habet centrum gravitaris lemicirculi radio C F
  40. delcripti ab ipso C: qux quidem non est toca CF recta, sed (pro-
  41. Pcer curracuram semicircularem) illa ejus parS quae est ad TOTAIM
  42. ue Diamerer ad Semiperipheriam.
  43. Similicer, facta conversione circa F A, Pemicplindricae (u-
  44. perficies rectis L Z delcriDEX TunE uE Va in N: D = a: (quippe
  45. momentis rectarum proporcionaless) diltantiae vero centrorum
  46. superticierum illarum sune ue radii convertionis, sive di-
  47. Rancia D= a; ErgO Cuperficierum illarum MOmeDEa sUINE
  48. NEV a, IN D = A. IBV:D i a. (IVC UED N a = V a in V: Da

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 87. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0107?run=74