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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. 769

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. PFOP XVIII. DeCalculo Centri Cravitatis.
  2. Dlani AZC, = 3 C (3 F 3 aV R = 8a5 R = 185 R F 5a sV; distanria C entri
  3. Gravitatis ab ATa planO = 120 R + 12 a v R - 6a S R + 25 R +6a 5V
  4. de X + +8a 5V
  5. Portionis ABR; Magnicudo, : a R = = 5 R = = CFR: MOMENEUM FCSpC. R. M.
  6. Au FA, = a R = 85 R7 - 3V R3 - 3s VR; respectu 2a, a R = 1 sE R
  7. +30 _ + ; so e; dillantia Ceurri Pravicalis d Fa, - +V _ + 45. v
  8. 2 ra, R. + +v X F 4 F ~. Momenrum respectu Aa, se A. + ds vN + s a X N.
  9. = as R; distancia Ceneri pravitatis ab Aa, 3C F +3 5uR + 4 a - 6 as
  10. 6a2 - 65 = 6e
  11. Nomentum respectu plani A Ta, ZC R3 = , 8S R; distantia CeHEri STA O.
  12. vitatis ab Ar a planO,
  13. Portionis ber; Magnitudo : ae = i PP: Momentum respectu 7a
  14. a2R 7 = 38 5 R 2 ZBR = 52 BR; respectu Y A, a a2 R2- 33s2R ?
  15. = 3BR3 = Zs2B R; respeCtA PF, + a R3 = 3 s3 f SBR 2 3a 3 R
  16. =as R; respectu plari ATO Z a R3 = 3sR3 = ros R; distancia Cen
  17. eri Cravicatis d ra, R = 4 B R + 452B
  18. ab A a
  19. 34 = 952 i a FA, R +
  20. 3 a R 2 = 35 R2 - 3 s B R 4 a 3 6a 52
  21. 12a R 2 = 225R2 = 25
  22. 6a2 852
  23. P + 45 B
  24. 9a 95
  25. i a plano AFO,
  26. B
  27. 2
  28. Adeoque exhibentur, in utroque solido; cum eo quod sit ex AF a R.
  29. fieurae Sinuum versorum rectis bB, in B0 Fisurx dinuum rectorum
  30. respectiras rectass tum eo quod hE ex Ar a Figura Arcuum rectis
  31. DB, in BV, respectiras semicirculi rectas, corumque partibUS OX-
  32. Dolitis; Tum Magnicudines; cum Momenca respectu planorum
  33. aliguoc expositorum; et Centrorum gxaritatis 2b illis planis distan-
  34. cix. Ec proxterea proprer exhibicas Cenerorum craritatis distan-
  35. tias a tribus laltem planis non parallelis; exhibentur (Per PTOP. 26.
  36. Cap. Praeced.) ipla Centra gravitaris.
  37. 111
  38. Ouae que de expositis dicta sunt; ad alia Facile porerune accommodari.
  39. Et quidem quae de his solidis cractuncur, ad Prorracta, et Contractam
  40. Facile transferentlir.
  41. Ouxeque de solidis fieuram sintium Rectorum unius Ouadrantisre.
  42. spicientibus, cracuntur; eadem ad Solida Fieuram Chorcarum Se
  43. micirculi similiter respicientia, transferentur.
  44. Dper ora Fipuca linuum rectorum eries incelliealut seslindri (Pritmuitoe)
  45. A
  46. a recti portio; ea ratione, ur super lingulis B0, tiguram complencibus (arcuum Fig
  47. arichmerice proxorrionalium sinibus rectis,) alcicudinem habeac respectiris Bb 169,
  48. (corundem arcuum, eorumre complementorum ad lemicireulum sinibus verlis) 170.
  49. aequalem. Auc etiam (quod eodem recidic) super Rra tigura Sinuum versorum
  50. (Arcuumre) insiltens ad angulos rectos, in ra recta, Fipura Sinuum rectorum
  51. erun promoreri incelligatur ad P A, solidum deseribens columnare (Cylindra-
  52. ceum dicas, Prilmaticumre, perinde est,) Paralleloxrammo P Aa r incumbens; quod
  53. sinvola superticie sinvola currae A d r ed angulos rectos insistence, secari POrrO
  54. incellisatur, Solidum a dra abscindente.
  55. Manitestum est, ex constructione, Plana Solidum hoc complencia, rectis bB
  56. intiltentim Pacalletoriamma elte rectangula; ip lib. bB0 rectanertio abique equa
  57. BCC CC +A1

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. 769. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0789?run=74