Leibniz Legible

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. 65

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: 0.84.

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The machine reads it as

  1. DE CYCZOTDE
  2. sione crianouli restilinei es 2 93 (nam circulus radie
  3. R CA Z RP; ergo circulus radii ZP, urpote in radiorum ra-
  4. rione duplicaca, est
  5. 1
  6. P2 vel.
  7. SR
  8. P2; qui circulus, cum (IE
  9. coni batis, ductus in ? D eriencem altitudinis, dac, P maoni-
  10. cudinem comi:) Hlorum solidoru differentia, nempe excessus
  11. coni supra reliquum solidum, eAt =D= P = - P=. Sin urrobique,
  12. Pro circulorum peripheriis substicuanus radios, (Facta divisione
  13. Per P, ec mulciplicatione per Z D,) habebimus planorum momen-
  14. ea respecti rectae CF; nempeillic es DP 2- =D, hic vero e EDP=
  15. 2deoque momentorum ditterentiam = D.
  16. +6 DP=. IIRC VerO
  17. difterentia per segmenti magnicudinem divisa, hoc est per =D 2-
  18. S DP, (est enim crilineum miltum BBC -27 2
  19. unde si aute-
  20. ratur erianeulum sibi inscriprum, quod est circum scripei paralle
  21. logrammi dimidium, adeoque, ZDP, manebic ZD = = Z DP
  22. magnicudo segmenti BA vel BC recta e curra comprehensi;)
  23. dac
  24. 120 2 p2
  25. T2D- p menturam promotionis centri gravicatis, dicti
  26. seomenti tramclocati, vertus FC rectam: Cujus itaque semisIS
  27. 12 D= = P2
  28. 24 D-6 P est ejusdem cenrri distantia a recta cBB: Ouxe qui-
  29. dem distancia, in segmenei magnicudinem =D = -, EDP ducta, dae
  30. D DP ejusdem momentum respectu cBB recta. Momen-
  31. cum aucem crianguli rectilinei BCC respectu ejusdem cB rectx
  32. eltr =DP= = LDPX, =P. Unde s auteratur segmenti dicti mo-
  33. mencum ZD=3E DP=manebit E+D P= =ED? mOmenEUM CrI-
  34. linei misti BCC respectu rectA CB. FR AUEeM FOFIMS BC Pa-
  35. eallelogrammi, respectu ejusdem cB, MOmeNCUM =DPL =
  36. =DPrEP. (Unde obirer liquer, residui B C b crilinei momentum
  37. esse ZD adeoque, Propter ipbus magnieudinem ZD=, distan-
  38. eiam cui ceneri graviraris a cB eNe =D; _ consequenter, a bC
  39. etiE Z P = ZD, UE Supra 5 99.) Racio igicur momenei crilinei
  40. misti BCC, ad momentum circumseripei Paralleloorammi, (re-
  41. spectu ejuldem cB rectE,) est ut D P= =D ad 6+ D P=; (Ve,
  42. uC P = 8D2 ad p=: UE PEIUS.
  43. 62. Vel denique, sic etiam eadem rario inveltigabieur. Vo-
  44. mentum erilinei milti CZ. AF A9. 7. respectu recta C F est (uE
  45. +C
  46. EuPFa) ic DP2.
  47. M

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 65. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0073?run=74