Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 781

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: 0.72.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. PFOP. XIX. a De Calculo Centri Cravitatis.
  2. a T A, i R: Momemum respectu Aa, ZR2 ∞: -2 R; respectu F,, Fiβ. 169,
  3. rsA
  4. 33R2 D2 + 2 Ra; distancia Centri Bravitatis ab A a, + ∞ 26R2 1151
  5. ∞.
  6. 26 p2
  7. VSStE rV. vA: X 2 158
  8. SPiem ina00 insi
  9. dF7,
  10. 23C, dc 115.
  11. Aciemque habentis Aa; Magnieudo sRZ 2 = 2 R3; momentum rOsp. 2 a
  12. 5 R2 P 2 = 2 R+; re(B. TA, Z R2 P2 - 2 R2; distantia Contri sravita-
  13. E5 2 7 , 3 R = ∞ 16 3 i 2 A, a +
  14. 4 R
  15. NtGICNCUMFE
  16. espectu YT, ad RP Esi distantia Centri era.
  17. 8R27
  18. R2
  19. vicacis ab A ey 1 2 = 9 . =48 p 2 1 d. Y, 1, 6 P + 2g.48
  20. 170
  21. 5
  22. X
  23. Aciemque habentis Pr; Magnitudo, 5 RP 2 F 2R3: momentum respectu 6.
  24. Tan B R P2 + 2 R; respectu TA, 5 R ~ f 2 R; distancia Ceneri
  25. E
  26. Gravicaris a r a, ZR F gu. + 16 , i Y A, 3 R = x, = B
  27. 8R F
  28. vicacis ab A a, 5 P - 5 P. + 48 23 1 d F. 19 5 P +
  29. 8R34
  30. 3P + 48 R
  31. Onoula (Semiguadrancalem intellise) Ouacrilinei ab els aciem ha C.
  32. bentis a; magnicudo, 3s R F Esh P; momentum respectu r la 2 R
  33. F EShR -5s R; respectu X A, 3F R3 +, 53 R; dictantia Centri er2
  34. 45B
  35. 453
  36. vitatis a 5 07 13. R 37f R f 9sq i d F A, 3 R = 27sA fosB: AAOIMCnEIMFC. F.
  37. SpectuBB, 8aR2 H V R. F 552R2; respectu A a) 32 R + Z aS R2-
  38. a SVR L vR 5s P; distancia Centri pravicatis a bB, a
  39. 80R 5a5R F SR a5V
  40. SVR 5a5R S R + a5V
  41. Fa saK 1OSR 2syi ab A a, Lairriu sase F (OSA 25 F 11) BCII3 C3L
  42. Aciemque habentis FA; Mapnicudo ZSX2 =L PhX; momencum Fe-
  43. spectu + a 3fR +35 R; respectu F A, SSX3 - ZSBR - 952 R; di-
  44. Ratitia Ceneri eravicatis d r a, 3 R + 24 5B R + 205
  45. 2235R = 43 5B : d Y N, B X
  46. 24 sh R + 2053( 113 3111.2
  47. t duthocitr
  48. A 225]P = 45oB. Momencum respectu bP, 3a R, + y R. - 5 5 P
  49. eisis
  50. respectu Aa, 8a2R2 - v R + 5 52 R2 + 3 as R + 5 452 R: distanti
  51. Ceneri Braritatis à bB, 5 a ] 8~ R = 52 R = 3 a 5R - a 52
  52. i ab A a
  53. 10aR + 65R + 252
  54. 14 - 8vR= - 52 R = 3aSR = a 5V
  55. 102K + 65R + 250
  56. C
  57. Aciemque habentis Aa; Maeniendo, = a= R F aSR = V R~; OMENTuM p
  58. respectu ra, 8a2 R + 3a5R 2 = + a svR = V R3 - 5s2 R2; resrectu F A,
  59. 3a R + = aSR2 = vR3 F Ss R F + a 5V R; distancia Centri Bravitq
  60. EiS 2 7a, 3R - 2vR2 L4a 5R + s2 R = 2 a 5. V111
  61. 422 + 8a5 = 8VR
  62. id FA, 2R +
  63. 2v R. = 4 as R. + 5: P + 2asD: MomentuM Fespectu A a, 2 C H - 21R K.
  64. 442 + 8a5 - 8V R
  65. +a R + a sRi relvectu bB, - 20R F av R + 3a R; distancia Ceneri stavi
  66. tacis ab A 12CR, 12aVR + 20 +605
  67. 342 +645 - 6vR
  68. idbB = 12eR + 6auR + a
  69. 3a + 6a5 = 6uR
  70. Aciemque habentis bB; Magnitudo, La2 R f. V R; momencum respectu F.
  71. en du R F V R3 F os R; respectu T A, 3a2 R = v R = 85; di-
  72. EFFFF
  73. stantia
  74. 8C

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. 781. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0801?run=74