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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. 828

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 Calculo Centri Cravitatis. Cap. V.
  2. (per S G. prop. praeced.) dirisum; extibet hujus Diltanciam Centri gravicatis ab
  3. 252R f5B
  4. A∞, =4 + 5
  5. f5V- 2a5R
  6. 4Ba . +24sR - t 2aB -- B5B : t a t 24a R. + Bs R + L2aV + 850
  7. Fig. 166. Si itaque ex Ongulae portionis Semicycloidis ABBa aeiem habentis T a, MO-
  8. mento respectu Aa; Peu, aciem habeneis A a, momento respectu 7∞; 3 a 2 2 f
  9. 23a 5 R 2 F 325 2 R 2 = 8 V R3 = a 5 V R = 365 = V R (Der 6 G.) auteraLE
  10. respectirum noula bBa V momenium modo tradicum, a 2 R2 = Z 2 5 R 2 Z52 R
  11. =Ea 2 VR = Z a 5V R = + S V R = = a 25 2 = = a 53 - Z 5+: Ilabetur Ongula
  12. AbV, aciem habentis ra, momentum respectu A a; aciemve habentis A a, MO-
  13. mencum respectu 50; = 3a 2 R 2 = 2 a 5 R 2 + 35= R 2 = 3 V R3 + = a 2 v R
  14. F= a5V R F i s2 V R + + a2 5 2 + 5 a 53 = 854
  15. Duod per Oneula AbV, aciem habencis ra magnicudinem, - 2 a R = +
  16. 35 RZ = aV R = +5V R F =a 5 = f 353, (Der SF, G. prOP. Praced.) divitum;
  17. extribet ejusdem distantiam centri graricatis ab A e Z a F
  18. 27 a5R2 f55 2 R 2 - 64V R3 f 9a5VR + 4 5= V R + +2 a53 + 954
  19. =54e R2 +72 a V R = 185VR + 36a5 F 2453
  20. Idemque momentum per Ongula AB V, aciem habenus A a, magnicudinem,
  21. a R + asR + 3 S R = 3v X + 3a V + = a 5v = 55= V, (Der SR, L. PrOP. PrX-
  22. ced.) diritum; exhibet ejusdem distantiam centri gravitatis d ra, 3R -
  23. q X = 80R + 18a VR + 36asVR + 245 VR - 18425 = 24a5 - 952
  24. = 18a R + 36as R f 65 R= 480 + 36a v. f 36 a50. F 12 5V
  25. Adeoque d F A, 3R +
  26. 452 R 2 = 8v R3 f +8 a VR = 36a5V R = L4SVR = 18a 2 5 = 24a5 - 95t
  27. = +8a R = 36a5R f 6s2 P = 48uR = 36a V + 36a 5V F 1252V
  28. dbV, 3R = B (= v - = R) -
  29. 4 = 8v R + 18 av + 36asuR + 245 V R = 18 a 5 - 2445 = 95
  30. = 1Ba R - f 36aSR + 65R = 48VR + 36a V- 36452. + 1252V
  31. Ejusque propterea respectu T A, momencum, = 3a 2 R2 = = a 5R2 + 252R =
  32. qu R3 = a2 V R = 3a 5VR + 18S2 VR = + 4252 - 5 a53 = 5 5+: Et respectu
  33. BV, (Factum ex 2 in maonicudinem, dempro momento respectu Y A,) 1a 2 P
  34. +a S R2 = 252 R2 + 3 V R 3 - 3 a V R = = a 5V R - -8 5 = V R + + a 2 52 + 3 S
  35. F 554 = 3V2 R2 + = a 2 v2 = =a 5v 2 = 352 V23 TCU (PFODLET V2 = 2V R -5,)
  36. 5a RE = 3 a5 R2 f 92 52 R2 - 3V R3 + + a 2 V R + 3a 5V R + 8 s VR = = 4 5
  37. =6253 = 5+. Oux duo, tune etiam (propter alcicudines et distancias reci.
  38. Procaras) momenta, respectu A a Ongularum ABV, acies habentium F A, e
  39. b V: Adeoque per harum respectire magnicudines, - Le R = (= - = a R + 2 5 R.)
  40. = avR F35VR = 3 a 52 - Z53 C R2 (= = a R 2 - 4 5 R2) + Za V R + 52R
  41. =Za S2= 353, (Der S F, G. ProP praeced.) divita; exhibenc earum distanciam
  42. cencei gravicaris ab A a: Nempe, Oneulae A B V, aciem habencis T A, distanciam ab
  43. A a 3 a f 3 a S R f 7 52 R= = 32 V R = 27 a 5V R = 205 V R = 12a5- 954
  44. 28CR 2 + 72 a V R + 545V R = 36 a 52 = 24 53
  45. aciemque habenris B Y, ab cactem A e distanciam = a Y
  46. 4L SR = 9 a 5 R = = 64 vR3 + 27 a 52 R = +OS2VR = 6453 - 3 5a
  47. 180 R2 F 36 av R + 54 5V R = 36a 5 = 22. 53
  48. Fadem Momenta, Vngulas ABV spectantia (et quae hinc dependene,) sic ad-
  49. huc alias inrestisantur, absque ope Ongularum AhBa.
  50. Tnoutam AB. V, aciem habentem B V, (Ei planis ipsi A B V plano parallelis.
  51. aequalibus ab inricem distanciis remoris, sectam incellisamus,) constituent, omnia
  52. ABV plana, eo spectancia; Cumpris AV, hoc est u arichmerice proportionalibus,
  53. ulque ad AV, seu V, maximum. Adeoque eorum momenta respectu A a; HOC
  54. t (per SH, L. ProP. Praced. ) Omn. = L a R + : a 5R + 1n 52 R - 3V L +
  55. 242

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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. 828. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0848?run=74