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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. 32

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.

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The machine reads it as

  1. Mlomentum
  2. solidi circa
  3. L respe-
  4. = 3R= P+3A = P, HOC CAZ= P -+ R =
  5. ex convertione Semleycloidis circa recta C F, UE PIIUIS.
  6. 86. Simiter, cum (per 578) racio omnium 2 Z arichmerice
  7. proporcionalium, in respectira Triangula o FP, ad correspon
  8. dences omnes z Y in eadem Priangula, sIE UE A3 ad 2 RE P; hOC
  9. eAt, 3 P3 _ 2 R= P ad 2 R = P, LIVC, VC 5 P= = 2 R ad 2 A
  10. vel = P=-4 R 2 ad 4 R3; (hoc est, uC AF9= CF9 ad CF9:) A-
  11. deoque noncuplum illius ad duplum hujus, 9eA2 ad 4R= P; hOC
  12. eCt, uE 3 P= = LBR P ad 4R= P, CiVC VC:
  13. FPd 36R dd BR=; (hOC eA
  14. UE O A F 9 - 9 C. F 9ad 2 C F9:) Si adjongiur raciO5 ad 2,
  15. Sive 20 R ad 3 R=: HAbCTOEITCTUM FaTIO Z P Z =36 R = +20R2
  16. P~ = 16 R, ad 8 R =: FIOC el9 A F9- 4 C F 9 ad 2
  17. C F 9. Quod supra (530) suscepimus demonstrandum.
  18. 87. Oliensum est supra (5 46;) Momentum solidi ex conver-
  19. tione (vel semiconrerti One) Zemicrcloidis circa A F (A9. Y.) ce
  20. Et C F ex Spectu recta C F, ad momentum solidi annularis ex convectione,
  21. vel semiconrertione) semicirculi C D F circa candem A F re-
  22. spectu ejusdem C F rectae; esse, uc 7 ad 3, acque insuper ut de-
  23. euplum momenti Colidorum ex cali conrertione lriangulorum vFip
  24. in diltanciis 2 Z Tuspentorum, ad triplum momenei eorundem (0-
  25. lidorum in distanciis 2 Y respectire uspentorum. Cujus racions
  26. investigationem sic aggredimor. Omnes 2 Z (aequales arcubus in
  27. semicirculo arirhmerice proporrionalibus) in respectira solida
  28. ex sic convertis criangulis vF P, ad omnes 2 Y (arcuum illorum
  29. Tinus rectos) in eadem respectire Tolida; HOc eA (PrOPTeEVD
  30. ubique aequales) omnes illae 2 J. in quadraca alricudinum F X (hOC
  31. es, Tinuum vertorum residuorum arcuum,) ad omnes illas 2 Y in
  32. eadem respectire guadrata; Tune, uc momenta omnium circulo-
  33. rum (vel cylindrulorum) Z E (aequalibus interrallis Tum PEOruM)
  34. convertone erilinei resticuri C A F A9, 7. CIECA A F FactOruM,
  35. Tuspentorum in distantiis = (trianguli F A a) hoc eAt ZZ (cri-
  36. linei resticuri;) ad momenta eorundem circulorum (vel extin-
  37. deulorum) suspentorum in diltanciis sE (bilinei F a n;) HOC eA,
  38. uemomentum Colidi ex convertione Trilinei recticuri C AF (cir-
  39. ca A F) respectu rectae C F, ad duplum momenti annuli ex cimile
  40. convertione C. b F semicirculi, respectu C F rectae. (Dico, ad
  41. duplum momenei annuli; propter, cum magnieudinem solidi ex
  42. conversione Parallelogrammi in crisineo, ad magnicudinem solidi.
  43. DF
  44. YCLOTDC
  45. Cirea C F
  46. respatit.
  47. decta =LL.
  48. 18.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0048?run=74