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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. 821

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: 0.79.

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The machine reads it as

  1. vel
  2. PFOD. XXI. DeCaleulo Centri Cravitatis.
  3. 52sBR = 495
  4. 14SR = 2055B; e d ra, 3 R + 525B R + 435
  5. 4415 R = 205 sB. Semritolidique Ciica TA, E, C. 166,
  6. magnitudo 3f R P = Z5 BZ; mOmenEuM respectu TA, 52fR = 13SB R2 - , BS R;
  7. Cenrique gravicaris inde distantia L28 R. 208 shR = 19653
  8. 2+~ 4+2fRP - 105SBZ
  9. Trem, Ongulae Segmenti aBa, aciem habentis ra; momencum respectu ra, est
  10. 8a R3 = 35 R3 - 8sB R 2 f E s R, e respectu T A, 3a R3 - 85 R3 + + SBR =
  11. iES R; per SY. prOP. 26. Ongulaque respectirae in Zrilineo Relticuco bB7,
  12. momencum respectu + a, 34R = 35 R) = E sB R + ; sR; et respectu Y A,
  13. Ea R3 - 35 R3 = 3 5 R; Det SD. PrOD. 19.
  14. Ergo, Ongula portionis Semiercloidis bBr, aciem habentis + a momentum re-
  15. spectu ra, 3 a R3 = 37 5 R3 = 8 5B R= = 28 5 R = 2b R3 ~ - 33 a R - 3 s R.
  16. =35VR 2 = 353R; respectu T A, 3 a R3 = 33 5R3 + + sBR2 L 3+ 53R
  17. = 28 R 3 - 22 a R3 = 2 5 R3 = 2+ sV R = 385 R. Adeoque (prOPteL magni
  18. cudinem, Za R 2 = Z5 R2 = ZSBR, Per SF. prOP. PraeCed.) Distancia Cencri gra-
  19. vicatis a 74 205 aN - 1055N- 63 sB R + 14 5
  20. =3X.
  21. 900. R = 905R = 305B
  22. T4SBR = = 5pV
  23. 45 a R - 4155R = 255B 3
  24. 25a R2 -755R = = 35BR = 24 52
  25. 90a R - 905 R - 305B
  26. R-
  27. =62
  28. T4SB R = 7 53
  29. 45 a R = 455R - +55B
  30. 45 a R - 455R - 155B
  31. =3.
  32. F 15aR = 455R - 15 5B
  33. Semi-
  34. solidique correspondentis circa ra, magnicudo, 8 a R P = 3s R P - Z5BP; ejus
  35. que respectu ra momentum 33 a R 3 - 325 R 3 - - 3 sh s E. H 18 s R; indeque Di-
  36. Pancia Ceneri gravicacis, 24.
  37. 285B R Bn etum
  38. 32 45 a RY = 455RY = TFFBY.
  39. Similiter; Ongulae segmenti aB a, aciem habentis F A; momencum respectu
  40. FA, est 3a R3 - 35 R3 + sB R f 2 S. R; Der 8 Y. PrOB. 16. Ungula que
  41. correspondeneis in Tcilinco Rellicuro b er, sa R) = 35R + 35b R F 35 R:
  42. DET S D. PFOV. 19.
  43. FrSO, Ongula BBF in Semieycloide, aciem habencis FA, momentum respectu
  44. T A, 33 a R3 = 395 R3 = 12 sBR = + 38s R; et respectu ra (idem quod aciem
  45. habencis ra, momentum respectu PA,) 37 a R3 - 34 5 R + S B R= = 285 R. Ad.
  46. eoque (propiet magnicudinem Z a R2 - 2s R + ESB R, Der S F. prOP. praeced.
  47. Distancia Ceneri gravicaris a F A, 277 a R
  48. =3ER
  49. 3P.
  50. 525BR + 495.
  51. 442 a R - 442 5 R + 105 5b
  52. 525hR + 495
  53. 44F a R - 44F s R + 105 sB
  54. 1
  55. 5R + 57sBR + 145
  56. 126 aR = 1265R + 305B
  57. lXd
  58. 25 a - 75 5 R + 3sBR- 14 5
  59. 226 a R = 1265R + 305b
  60. Semisolidique correspondentis circa FA,
  61. magnicudo B a RP = 8s RP + shP: Momenrum respectu YA, 33 a R
  62. =225 R + 1 sBR F 1b 5 R: Cenrique Graricacis d T A diltancia L18 R.
  63. 20d 5BR2 L 29653 R
  64. 44T a RP = 442 5 RP + 1055BY
  65. 242
  66. Eiem, Ungulae Scementi Semicirculis B V A, aciem habenis F A; momencum
  67. respectu TA, cAt, SCR3 + 35V R = 3 s R = 4 53y; d respectu ra, dC R 3
  68. +35VR2- 3 5 R + siv; et respectu bBV, = 3C R3 + + avR - 5 sV R
  69. 1E5 R = 1 SV; per B F, PrOP. 16, tu
  70. Et Ongula Frilinei BB A aciem icem habentis TA, momencum respectu FA,
  71. est = 30 R + 3aV R + 3 5uR3- 3a 52R ∞ 55 R- 3 a sev; et respectu ra
  72. L. IIL
  73. ZC R
  74. 70
  75. D
  76. 821

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. 821. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0841?run=74