Leibniz Legible

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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. 807

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: 0.74.

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The machine reads it as

  1. PFOD. XX. DeCalculo Centri Cravitatis.
  2. lidum 2a R P F i 5 R P + 3 5 2P, et semisolidum, 3a RP + 2L 5 R P + 5 5V ~. FiB. 169)
  3. Similiter, Segmenci Semicirculi a Ba, Momencum (vel Semiquactrancalis Sp
  4. gula) relpectu ra, et Z a R 2 - =s R 2 = EsB R; e relpectu IA, : a R=
  5. F3SBR; per SN. PrOP. Z5. EAque LegmenE Frilinci Restimei BB7; Momen-
  6. cum (vel Semiquadrantalis Ongula) respectu 70, Z a R = -- 25 R 2-
  7. A
  8. e
  9. respectu TA, 3 L R - 3s R = + + SBR; Det BF. PFOP. 27. LrBO (quod ex v
  10. trilque aspregacum est) Segmenci Semieseloidis bBr, momentum (seu Semiqua
  11. Trancalis Ungula) respectu Ta, Za R2- 25 R2 = 35BR; e respectu F A
  12. Za R2 = 2 5 R = 35BR. HIOC est (PrOpieK a = = ∞ = d, e B = 2 R - d
  13. respectu 7a, 3 R= P = 3a R = 72 5 R + 35VR; e respectu T A, 3 A Y
  14. Za R2 = = sR : = 2SV R. AdeOquE (PrOpTeC magnicudinem S B. invencam,
  15. 2 a. R = 25 R = 3 R P - 3 a R = 3 s R,) Distancia Ceniri gravicalis d ra,
  16. X
  17. 28a = 185
  18. 205R - 55V
  19. 105 R-550
  20. D2 = 18a = +85 2 F 1, 3R+
  21. 18a - +85
  22. dP = 18 a = 185. Solidumque ejusdem cirea r a Conrertione tactum Z a R P
  23. =35 RZ = ESBP = ER~ 2 = Z a RP = 235 R P F 135VF; e Temisolidum
  24. 8a R - 85 RP - 2 SB R = 16R P2 = 3a RD - 375 R P + 5VD: AEque, Cir-
  25. ca Z A, Solidum Z a RP = Z sRP + 3 sBP = 8 RD2 = Z a RP - =L 5R∞
  26. = 352P; e semisolidum, 8a R P = 35 RP + 2 shD = 16 RD 2 = 3a R F
  27. 45RP = 4522.
  28. P
  29. Tiem, Segmenei Semicireuli BV A, Momenuum respectu 20, LC R2 = 3SVR F.
  30. + 35; e respectu TA, ZCR 2 f =5V R = =5, _ respectu bBV, - 2C R2
  31. = ZaVR = 5S; Der SC, R. PrOP. 25. Momencum aurem Segmenti Trilinei b B A,
  32. respectu 70, -- ZCR = + aVR = Z5VR L 3 a 52; e respectu Y A, - Z CR 2
  33. = a~ R + 25VR = Za s; e respectu BBV, 3C R 2 + 35~ R = Ea s; DCt SF.
  34. DEOP. 27. Momencum igitur Segmenti Semieycloidis B V A, (vel Semiquadranta.
  35. lis Ongula correspondens,) respectu =a, - 3C R + av R + 45VR + 3a5 + 55;
  36. e respectu Z A, = a c R2 + a v R + 35V R = = a 5 - 3 s; e respectu bBV.
  37. aCA 2 + Z aV R + 2 sVR = = a 5= = 8 53. Adeoque (propter magnicudi.
  38. nem SB. inventam, = = C R F a ~ f = 5~;) Distancia Centri graritatis d 20
  39. =3ek + 12a0 R 4350 R +6a5 +45, a TA, =30 N f 12a2 R + 912 R- 6a5 - 45
  40. -6C K + 12aV + 650
  41. bBY, 3CR + 6a0 R + 950 R - 625 = 25
  42. = 6eR + 12 aV +650
  43. cirea ra factum, - 3 c RP + av P + : 5uX
  44. =de R + + avP + 550X-
  45. = =CRZ = a v~ = 2522-
  46. + Za0P +3508.
  47. + 5a0P + 3508
  48. a52 D 53∞
  49. 4R 12 X
  50. 25
  51. +R
  52. 452∞
  53. eX
  54. a5 P + 2537
  55. 522
  56. 2
  57. 53∞
  58. E K
  59. 538
  60. 3
  61. 6ek f 22aV + 652
  62. Solidum ejuldem convertione
  63. S2F, 53∞
  64. eA
  65. 3Xi ee temitolidum,
  66. Eiem cicca TA, Solidum,
  67. E; e semitolidum, = J C R P
  68. L: Denique circa BY, Solidum : C R Z
  69. 6k
  70. 53∞
  71. 64
  72. et semisolidum, se RD L : av X + 350X
  73. Fadem habentur ope Fraperii BBa V. Ouippe si ex quadrilinei BB a A
  74. fig. 266. auteracur Fraperium bBa V, reltabir Semiey cloidis segmencum b V A:
  75. rijusque momencum ex momento Ouadrilinei subductum, relinquit segmenei
  76. b Va momencum, hve respectu recta Y A, tire ra; unde et reliqua conte.
  77. QVIEHTUT.

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. 807. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0827?run=74