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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. 22

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: 0.88.

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

The machine reads it as

  1. lo
  2. Eolidi ex conversione omnium Trianoutorum, hoc est Semicireu
  3. li Ccirca rectam C F;) quaerenda rariocum omnium Onadra 0-
  4. rumm Z Z arichmerice proporrionalium, cum omnium Rectanoulo-
  5. TUM ZZ Y, in respectira Peiangulav F P, SiVe (propter aquales
  6. ubique o p) in respectivas Alcicudines Y F. ad omnia GuadFaLI
  7. 2 Y in eadem respectira sive Priangula sive AIcicudines. AEque
  8. ilta demum racio E ducatur in rationem 18 adt 3, Sire 6 ad L; AC-
  9. que haec quidem in rationem 20 3d3; e urrisque candem ((C
  10. ductis) adjunsatur ratio 7 ad 3: Flabebitur rario ea quam habet
  11. momentum solidi ex semiconvertione Semicyeloidis cicca C F,
  12. ad momentu solidi ex Semicirculi circa eandem C F Pemiconver-
  13. Tione, respectu ejusdem C F linea aequilibrii. Unde (I exIMIEuE
  14. ratio magnicudinum; habebicur racio distanciarum centrorum
  15. Gravicacis.
  16. 66. SiilIteE R EUMAHEUE (In R9. F vel 8) omnes Z Y aqua
  17. libus incerrallis dissica; ex quarum semiconvertione circa C F
  18. Fie Colidum C Veloidale, sicur ex semiconvertione Semicirculi sive
  19. omnium in eo ordinacim-applicatarum circa eandem rectam Ac
  20. Tlenisphaerium: Frie momencum illius ad momeneum hujus, re-
  21. spectu ejusdem CF rectae, ut omnes cubi rectarum C Y, ad Om-
  22. nes cubosrectarum Z Y: HOC elt, ut omnes Z L C + 3 2 J GXZ Y
  23. + 3ZZ XZ Y9 + 2 X c, ad omnes 2 Y c. Oux quidem omnia
  24. similibus mechodis ad calcutum rerocanda TunE acque supe-
  25. FIOTA.
  26. 57. Porro, Aquis de Segmentorum Circularium et Sphaerica-
  27. lium sire Magnicudinibus sive graricaris Ceneris hxesitet, (quae
  28. Supea 5 33, 40, dari supponimus,) sic habeac. De circulo, nemo
  29. nescie, ex ductu Semiradii in arcum Z C vel 22 Fig. 6. haberi
  30. sectorem ZC C vel Z62; cui s auferatur Triangulum Z6C,
  31. vel ZC Z, manebit segmenEu Z C vel ZZC; (incellige, (2
  32. 2C Z arcus non excedat Semiperipheriam; ubi enim excedit non
  33. auferendum ekt, sed addendum Priangulum Z C72:) Tum, adden-
  34. do Trionoulum ZFC vel ZFZ, haberi Sectorem ZFC vel ZFZ. FE
  35. sic alibi. Fx in Sphaera similicer, superficies sphaerica 2CZ, abscissa
  36. PlanOZ XZ est ad coram sphaerae superticiem, sire quadruplum
  37. circulimarimi, ut C Y ad C F, (uri norum est:) ea vero ducta
  38. in crientem radii, dac sectorem spharicum 6ZZ C. (factum ex
  39. COn
  40. Fig.
  41. dermena
  42. Crrenii
  43. dBatuo
  44. ExCLOTE

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 22. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0038?run=74