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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. 822

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: 0.77.

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The machine reads it as

  1. De Calculo Centri Cravitatis. Cap. V.
  2. Fi5. 166, - 3C R3 + 3aVR2 - ; 4 52 R + 3 si R 4 5 a s v; et respectu bBY, 30R.
  3. 70.
  4. = = aVR 2- 25V A2 = = aSt R = 2 s R = 5aS V; per S F. PrOD. 1D.
  5. Ergo Ongulae Segmenci Semieycloidis bV A, aciem habentis T A, momentum
  6. respectu TA, C =, 2CRP = 3a~R2 4 85VR 2 - 3 a s R - 385 R = 5 a s2 V
  7. +53V; e re(DeCtuL nan = 2 C R3 + 3aVR 2 + 350R= = 3aS R = 53 R
  8. f = a s V f Z53 Vg. _ respestu BB V,, 120. R 3- 3a V f 35D R = Z a s R = 35R
  9. 3as2V = V. Adeoque (proprer magniuidinem, - e X F a v R + 35V K
  10. 2a5 = = 5; ver S F, C, prop. Placect) Distancia Ceneri Pravicatis d Y A.
  11. =15C R3 = ∞6 av R + 815DR2 = 48 a 5 R = 385 R - 2445 v = 1850
  12. sustonDC R 72 aVR + 545. V R = 36a 5 = 24 5
  13. =8R
  14. 650
  15. 23 F sR C = 3f0 R) - 4 a 520 = 3532
  16. =3eA7 + 12aV R + 95VR- 6a5 = 453
  17. 22CR3 + 48a v. R7 1Y 27 50 R2 = 24 a s R - 105 R = 24 4 52 2 = 18530.
  18. 15. 111
  19. 184R3+. 72. a V R = 545VR = 36a5= 245
  20. 3 fV R - 4 26 V - 35~,c
  21. =3 a BE+ T2 avR + 95V R = 6 a 5: = 4 53:
  22. a bBV,
  23. 25CR3, + 30 av R2 + 45 50R = 24 a 52 R = 26 5 R = 12 a s2 v - 653V
  24. = v-
  25. = 18CR + 72 av R + 54 5VR = 36a5 = 24 5
  26. 3fV R = 4 a5~ = 35 V
  27. =3CB + 22 avR + 950R = 645= - 45. =
  28. 350 R -4 a 5V = 3 53V
  29. =3C R3 = 12 av R, H3 V R = 6a s = 45; Demisolidique correspondentis
  30. circa TA, magniendo ad illud Ungula aciem habentis Y A, ut Z Z ad R. Mo-
  31. Cenerique sraritatis di-
  32. sancia in semilolido, ast illam Ongulae ut 2 R ad = f
  33. Similiter, Ongulae Seementi Semicirculi BV A, aeiem habentis ra; momentum
  34. respectu ram eltus de R + 85V R + i s R - = s2 V; e relpectu bBY, deR.
  35. F3aV R F 3 5V R2 = 4 5 R + 1SV; per B F. PTOP. 16.
  36. 10c
  37. Uneulaeque Tritinei bB A, aciemr habencis ra, momeneum respectu a, Es R3
  38. E5bR 35 R, 3a B = = 3CR 4+ ZaVRE =5VR + 3aSR 5 R
  39. =5a s2v; e respectu, bBY, 3fR 3 abR = 5BR 35 R - = 5B2 R
  40. DCOD. 19.
  41. 3C R3 A, 4V A E + 3 5V R7 = 3a 5 R + a5 5 R t 6a5v; Dex BF.
  42. Adeoque Dngulae Scomenti Semieseloidis BV A, aciem habencis +a monien-
  43. cum respectu rb, 3 C R3 + 3aV R + 55V R + 3as R + 285 R = 3 a s V
  44. = = 53V; e respectu BBV, C R = 3a V R 7 35D R2 - 3 a 5R = 3 s R
  45. =5a 5 V. f ∞ sV; relpectu T A, (idem quod aciem habentis Y A, momen-
  46. rum respectu re,) C R3tSaV R2 + 350R 5 aS R = 35 R L 5 a sV
  47. F 253V. Adeoque (propier magnicudinem, 13C RE = a V R + à sV R
  48. Y 3 25 f 353; per 8 HsC. DFOP praeced.) Distaneia Centri gravitarisy X Xa,
  49. =d7o R, + 9640 , + 95D R2 + 96 a 5 P + 58 5 R = 24 452 v = 18 500
  50. a bBV3
  51. 2TCR
  52. 54c R2 F 72 aV R = 18 sV R + 36a5 + 24 5
  53. = 42aV R= = 625VX = 48a S R 85 R + +2 a 5 v + 65V
  54. 54c R + 72 aV R f 185V R 36a5 24. s M v 1,
  55. iZ eRF 48 aVR F27 5D L 24 aS R. 185X f24 a 5 D + 18sV
  56. d. F A ∞ 115
  57. 5C R F72aV R 185V 2 36as F24 55 11.
  58. Semisolidique correspondemis citca r a Magnimido ad iplud Ongulae, ut L V ad R;
  59. Momencum respectu axis sui ra ad illud Onsula, ut 2 dd L; Dictantia Ceneri
  60. Braricaris d 2o ad illaur Csnsutascub Z se ad : 8. Let dire. ologues
  61. Simlliter, Ungulxe Segmeniti Semicirculi BV A, aciem habenris b B V, momen-
  62. tum
  63. 822

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. 822. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0842?run=74