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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. 826

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. FiB. 16C
  2. De Calculo Centri Cravitatis.
  3. Cap. V.
  4. 68, 170 lid a r0y E R - =2v R. = 30 as R = 8 s. R + 25 as0 + 752 v
  5. 27 a + 54a5 = 24 V R + 15 s2
  6. 2R + 12.V R 2 = 30 as R - 85 R = 25 a 5V = 7 5.
  7. 27 a + 54 a5 - 24 V R = 15 52
  8. 2 TA,
  9. Adeoque ejusdem re.
  10. spectu T A, momentum, 8a R = F I= a5 R2 - Z V R3 + 73 52 R2 + 2 a 5V R
  11. f 3652 V R.
  12. Ouod ipsum, est eriam Momenium Ongula porcionis Semiercloidis ABBa,
  13. aciem hrabentis T A, respectu Aa. Adeoque, si per hujus ungula magni
  14. cudinem 2 fR2 = E sB R = Z a R2 + 2t 5 RZ F 1Z SVR (DeF S D. PrOD
  15. peaeced.) diridatur: Elabetur ejuldem Dictantia Cenrri graricatis ab A_
  16. af 33as R. + 195. R -- 32v R + 15a50 + 145V 63a R - 1 952 R + 320 R2- 145V
  17. 226a R +665R F 305V
  18. 126a R +665R + 3050
  19. Si isitur cocius Semiereloidis Ara Ongulas spectemus: Juoniam hoc catu
  20. CAt a = Z P, V == 2 R, e 5=0; erit Onsula Ara aciem habentis ra, momen-
  21. rum respectu Aa 3 R. p. - 15 P; Magnicudo, 3 R2 P; Cemrique sravicaris ab
  22. Aa distantia, 27 128 k=
  23. aciemgue habencis Aa, momentum respectu ran 3 R. 2 - 13, R 2; Maeni-
  24. rudos 3 R ~ = - 3 X; Cemrique fravicaris distancia à r 0, 3 R -
  25. 32R.
  26. 32. R3
  27. d∞- 64 R2
  28. a TA, 3R + ∞2 =6q R2: Momencum respectu T A, 5. R2 ∞ 2 - 3, R2.
  29. Aciemque habenis TA, momenrum respectu A a, : P, ∞. - 9 R; Maeni.
  30. cudo, 3 R = P; Distancia Ceneri Bravicatis, ab A a, +∞ - 64 k
  31. 637
  32. Si autem ex Ongularum Forins Senrieycloidis A ra Magnicudinibus et NO-
  33. mentis; auterantur respectire Magnicudines ec Momenta Ongularum ABBa: IIa.
  34. bencur Ongularum bBr, Magnicudines de Momenta.
  35. Pura, sI ex Ongula Ara aciem habentis ra, Magnicudinc Z R 2 F; _ NO.
  36. mento respectu Aa, Z R 2∞2 -s R+; modo extribitis: Auterantur respectirae
  37. Ongulae AbBa magnicudo, Ef R= + Z sBR = Z a R2 + 235 R2 = 35VR;
  38. momentum respectu A∞, 3a2 R = F 23 a SR 2 = 3 a5V R - 8VR3 F G= 52R =
  39. = 35 S V R; supra tradica SC. Hlabetur Ungula portionis Semieycloidis bB2,
  40. aciem habentis ra Magnitudo, 3 R P - Za R = = 23 5 R= + Zs V R, Teu (PrOP-
  41. Dex = = P = a e B = 2 R = 2,) Za R = - Z5 R2 - 3sBR; ejusque, relpe
  42. Etu Aa momenium, Z R= D= - 3 a R = - 15 R a = 8 v R3 - 23 a sR 2 + 3 a 5V R
  43. 22S2 R2 = 2b 5= V R: Adeoque Cencri gravicaris ab A a distantia, a +
  44. 45RD2 = 180aRP + 180 a R = 512 R3 + 256VR2 - 164 5 R + 565 v
  45. 180R ~ - 360 a R = 6005 R. F +205V
  46. Si ex Ongulae A r a, aciem habencis P A, magnicudine, 8 R2 P; e momento
  47. respectu Aa, + R2 ∞2 - 8 Pa modo cradicis: Auterantur respectira Ongula
  48. A bBa maxnicudo, 2 f R 2 = SBR = 2 a R2 F I= 5 R= + Z5V R; _ momen.
  49. tum respectu A a, 3 a R2 = IE aS R 2 = 3V R3 + 13 5 R= + 3a 5vR + 3 s V R:
  50. Tupra tracica SC. Flabetur Ungula bBr, aciem habentis TA, magnicudo, 3 R 2Z
  51. -2 a R2 = 1 5 R2 = 1 2 5VR = + a R2 - 2 5 R = + ZsB R; ejusque MOIENtM
  52. respectu Aa, 3 R2∞2 = R+ = 8 a2 RZ + 3V R = i asA2 = 22 52 R
  53. Za SVR = 365 V R: Adeoque Cencri graricaris ab Aa distantia, a +
  54. 63R D 2 = 252. a R F = 256R3 f +28V R = + 252 a R = 765 R - 565v
  55. 252. RP - 504 a R = 264 5 R = 1205V
  56. Si ex Ingula A54, aciem habencis A a magnitudine, 2 RD 2 - 2 X3; No-
  57. menco respectu ran 2R, ∞. GPL; e respectu F A Z 2 ∞.- 5 pa; modo
  58. tradicis:
  59. 820

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. 826. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0846?run=74