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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. 796

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: 0.82.

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The machine reads it as

  1. De Calcuto Centri Cravitatis. Cap. V.
  2. Dictancia Centri pravicaris ab A en 6X. + 96 X=
  3. 2-
  4. 8 R2
  5. 8R2∞
  6. 3P2 + 48R:
  7. 3P2 F 48 .: ejusquem respectu Y2, momentum, R P3 + R. P.
  8. Aciemque habentis. A a, Distamcia Ceneri pravicatis d F 23 6~, = 96 p.
  9. -82-
  10. 8 R2 P
  11. 3 D2 - 48 R2i ab A4, 34-
  12. momentum, R∞ 3 = R34
  13. 8R2∞
  14. 3~2 = 48 p2i hujusque, respectu A a,
  15. Si aurem ex Ongularum parollelogrammi A R Ba momentis, auteraneur respe-
  16. Etira momenta Ongularum A bBa; habencur Ongularum ABK momenta re.
  17. spectira.
  18. EC aurem Ongulae AK Ba aciem habentis KB, vel A a, (uEpote PriIMatS, OP-
  19. policarum batium criangularium,) magnicudo, Z a X 2 R = a R; ejusque ab acic
  20. Tua Diltancia Ceneri gravitatis, 3a; d cermino oppotito, 3 a. Adeoque Aciem ha-
  21. beneis bB momentum respectu Aa, vel aciem habentis Aa momencum respectu
  22. bB, elt = a R: Aciemque habentis bB momentum respectis iplius hB; aciemve ha
  23. bentis Aa, respectu iptius Aa, momentum 3 a R.
  24. Ex His itaque; s Subducantur respectira Ongularum A BBa momenta, S R.
  25. cradica: Relinquuneur Ongularum Ab HE momenta respectira.
  26. Nempe; Ongula AbK aciem habentis BbK; momencum respectu Aa; aciem
  27. ve habeneis Aa momentum respectu BBK; 2 e R3 = a ~ R2 F Ea R. Adeoque
  28. (proprer illius magnicudinem, Z a R = v R2; bujus L a R - a 5 R. F V R?; Per
  29. S FI. prop. 27.) Aciem habencis BbK, Distancia Ceuri sravicatis ab f. a,
  30. T2 C R2 = 6 a V R a
  31. 3a = 6vRi adeoque d BbK, = 22C AE. + 2 a
  32. Aa, Distancia Ceneri graritatis à BbR
  33. A
  34. =T2 C R = = 72 av R + 2 a = 6a 5
  35. 3a - 6. a5 + 6VR
  36. 3a = 60 i Aciemque liabencis
  37. 2CR2 = 6a VR f a
  38. 3a 6a5 +6v R
  39. adeoque ab
  40. Aciemque habentis BBK, momencum respectu BbK, = 2C R3 f Z a R; A-
  41. ciemque habentis Aa momencum respectu Aa = 2 C R3 + 2aV R 2 F 5 A3 R
  42. a SR
  43. Ouaeque de Ongulis AbK dicta sunt; cadem Ongulis =bB, accommodantur,
  44. TubItICEIS a PrO a B PrO V; _ YY, PrO Aa. Ouippe similiter adjacet rectis rI,
  45. rau iptum rbB; acque ipsum A bR, rectis Aa, A P. c
  46. De. Unoule rBB, aciem habeneis Bb KE, momentum respectu Fx: aciem-
  47. ve habencis Tx momentum respectu BBR; 2 a R3 25 A3 aB R= ( Z a R =
  48. Aciem habentis BB R momentum respectu BBH, = 2 a R3 f 2s R3 L = a R: A-
  49. ciemque habentis Fr respectu iptius Fr, = 2 a R3 25 R3 + 2 a B R2
  50. F343R = 0 5R: Et Aciem habeneis BB H, Diltancia Ceneri grariaris d PT,
  51. 12 0 R. - 12 5R - 6 a BR + =; aBBK, = 12 a R + 12 5 R 29
  52. 3 a = = 5BX
  53. ciemque hrabencis Pr, distancia Centri graritatis d Bb K,
  54. 25.
  55. A-
  56. +2 aR = +25N 60BR L a3
  57. 2 125 R2 +2 a B R + 2 a -6 a 5
  58. 3 a2 - 605 = 6BR
  59. X
  60. 38 -, 6a5 + 6bX
  61. e SeL cie
  62. Sed ee carundem Ongularum XbB momenta, haberi poterunt; ex Ungularum
  63. totius Ara momentis, subductis momentis respectiris Ongularum ABBa: RC.
  64. Ctabune utique momenta respectira Ongularum rBB, qua et ad alias, ut opus
  65. tuerie, rectas tacile tranoterentur.
  66. WIIESF
  67. Ex momentis aurem Ongularum ABBa; Si subducantur respectira Vngula-
  68. rum BBaB momenca; habentur momenta respectira Onsularum ABB.
  69. Fs aurem Ongulae bB a B, aciem habentis bB, ret Ba, (urpoie Prismatis.)
  70. magnicudo, Z a XB = Z a B; ejusque ab acie sua Diltancia Cenevi pravitatis, 2a;
  71. a termino oppolico, 3a. Adeoque aciem habeniis bB momericum respectu Aa;
  72. acietVC
  73. pi5. 163
  74. M

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. 796. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0816?run=74