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. 600

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: 0.89.

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

The machine reads it as

  1. 50C
  2. De Ciraccum dest
  3. sit
  4. PRO P.
  5. Craris in luperticie Sphaerica, Terrae concentrica, utcunque moti,
  6. nullus cst vel Descensus vel ACcensus.
  7. Idem dicendum cA, de Plano FTorixontalis dummodo, propter Par-
  8. ricarem plani ex immentam à Centro distantiam, quasi cum illa Spha
  9. rica superficie coincidens habeatur.
  10. Idem incellige, mutatis mutandis, in alia Vi morrice.
  11. C B =- C. D.
  12. CB- CD =0.
  13. Duca; Si a B aet D, in supertieie Sphaerica, Terrae concentrica, mOveatur PrA
  14. re: (vel eciam in Florirontali Plano, quousque hoc cum illa coincidens ha-
  15. teacur;) Wihilo tic vel Propius vel Remotus d CentrO FerrX; (propier aqua
  16. les CB, CD, Sphaerae radios:)
  17. Adeoque (per 3 hujus) non vel Delcendit quiequam vel ACcendit sic lacum
  18. Crrare. Ouod erat propolicum.
  19. Idem in moris ab alia Vi Mocrice, mutaris muraridis, timilice octendecur
  20. eempe, nihil vel protecisse, rel contra, Vim illam; dummodo secundum Vis Mo-
  21. ericis Directionem nihil vel procelterit rel recesterie, urcunquse alias MOrCat.
  22. F18. 30.
  23. P R O P. Xmm cistsim
  24. Craris per rectam Forixonti perpendicularem Descendentis, Delcen-
  25. sus tancus est quanta est ea recta per quam fercur. Et similitex
  26. ACcendentis ACcensuS.
  27. Adeoque Oblique vet Descendentis rel ACcendentis, LanCUIS quantA CAt
  28. perpendicularis aeque alta.
  29. Idem incellige, mutatis mutandis, de alia Vi motrice.
  30. 1. 30.
  31. oistuis ei
  32. ABC - BC = AB = ABC DC.
  33. DC - E C == BEC - F C = BF.
  34. mesut: Beotoe
  35. Oc2: Si in ABE recta, qua ad Foriconcalem rectam HB perpendicularis
  36. sic, (adeoque ad C centrum Terra recta rendit, per FO Flemen. 3.) Feratur
  37. Mobile, ab A ret R, ad B: Manitestum elt, tanto vel propius vel remocius
  38. a Cencro tieri, quanca est ipsa AB, Vet EB, recta qua Fertur, (per 3 F lemen. F.)
  39. Adeoque ( per 3 hujus) cancundem ret Descendere ret Ascendere. Quod exat
  40. provoticum.
  41. Adeoque; Si uccunque Oblique, ab A vel F, Feratur ad D punctum, quod can-
  42. uundem acque iptum B a Cenero distet: cancundem uirobique vet Descendisse ret
  43. Alcendisse censendum erir; per 3 hujus: Floc cst (per modo demonstrata) quan
  44. ta est AB, vel F. B, perpendicularis aeque alca. Ouod irem probandum exat.
  45. Idem, mucaris mucandis, de motis ab alia Vi, similiter oltendetur.
  46. P R OP. XI.
  47. Craris, per rectam utcunque dectirem descendentis, Descentuum A
  48. titudines Tunc emensis Longitudinibus proportionales. Atque AF
  49. censuum lmiliter.
  50. (Incellise; Dummodo planum FTorixontale, cum superticie Sphaerica,
  51. Ferrae concentrica, coincidens habeatur. Ft similiter in sequenti-
  52. bus aliquot, quae hinc dependent.)
  53. Idem de alia Vin muratis mutandis, intellixendum.
  54. EC

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. 600. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0620?run=74