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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. 750

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. De Calculo Centri Cravitatis. Cap. V.
  2. 4. X R = 3 ∞ 2
  3. Fis. vicacis d ra, distanicia, R. + 4v. R L3 N
  4. 6R+ q iide d F A, R + 6 R L 4. V.
  5. 100. Ongulaeque eidem Friangulo B VC insistentis, aciem habentis T A; momen-
  6. tum respectu r a (oppolita) ZSN R = =25 ~3 (sire supra Centrum, live intra,
  7. fucrit V punctum;) et respectu Aciei sua T A, ZS N R F35 X 7 R = L5 ~3,
  8. (prouc lupra Centrum intrare tuerie V punctum) Centrique graritatis a r a (op.
  9. 6R + 4. + i a F A (aeic) R= 4 ~ R + 3 v
  10. Polica) distantia, PJ. F X P + 3.x.
  11. 6R F 4. N
  12. Acque haec momenta, momeneis Ingularum (respectire sumptarum) semiles.
  13. menco BV a insistencium, Addica, vel Ablata, Drone Cupra intrare Centrum
  14. fuerie V punctum; exhibent momenta respectira Ingularum Sectori BC A infi-
  15. Rencium.
  16. Puca; Onsula Semiteomenti BV A, aciem habentisr a momento respectu r a,
  17. 3a R - 85 R (= 8C R3) + 85V R + 13S R = 2 53V; (Ut S F.) A addatr,
  18. vel auteratur, (prout supra intrare fuerit,) respectirum Ingulae Frianguli BV C
  19. momencum, Es_ R2 =35 _ = R = 45 N3; HloC elt, (PTOPTEE N = R - v, Supra
  20. Cencrum, addendum; ec x = -- R + v, intra Concrum, auterendum: adeoque
  21. v3 = R 3 = 30 R = = 32 = R - v3 = R = V R = = 5= R + 5= V, addendum; 8
  22. 63-
  23. = R + 30 R2 = 3v R + v = - R3 F V R2 + s2 R - s2v, auteren-
  24. dum; quae tantundem valent: Scd, N Z = R2 = 2~ R f v= = R = - 52; eltque
  25. vel + x= addendum, vel - x auterendum, quod cancundem ralet:) Si addatur
  26. 35 R - 2 5VR2 -- 125 R f + s v: Hlabetur momencum Ongula sectori BC A
  27. insiltentis, aciem habentis r a respectu r a, 3a R3 12 5 R3 = 55V RE. OE priuS.
  28. Acque ejusdem Ongula BV A(aciem habentis r à) momento respectu F A,
  29. 3aR - 35 R3 (= 3e R3) + 35VR = = 5 R F = 53 V (uE S F.) B addatur
  30. rel auteratur (prout supra intrare fuerie V,) momentum correspondens Ongulx
  31. BVC, 2SN R? = =5N3; Hoc elt, (ob caulam modo dictam) s addatur L5 R.
  32. 25VR 2+ 253 R = 2 53v: Flabetur, Onsulae sectori BC. A intiltenris aciem ta-
  33. bentis ra, momencum respectu P A, 8a R = 55 R. + 55V R. OE prius.
  34. Ongulaque aciem habentis PA, momencum respectu ra; idem est alque illud
  35. aciem habentis ra respectu Y A; proprer alcicudines et distantias ubique rect.
  36. procatas.
  37. Vnerilae vero intisteniis semileemento illiB V A, aciem habentis FA, momen-
  38. tum respectu, aciei, sUIX PA, 3a R3 = 35R3 (= 3C R3) + 85VR2, 35 R
  39. 253V; Si addatur, vel auteratur, (prour supra intrare tuerit V,) momentum
  40. correspondens Ongulae BV C, Z5 N R F3s N = R + 4 5∞3; HIOC ct (ob caulam
  41. modo dictam) B addatur Z5 R3 - 3 5V k = F 253 R f 253~: FIaDCTUE momen-
  42. cum Ongulx Sectori BC A intistemis, aciem habentis P A, respectu iptuuis F A,
  43. Ba RET 245R 55VRE. OEPrIUIS.
  44. Denique: Ex momentis eildem Ongularum Semiscemento BV A intistencium,
  45. si auterancur relpectiva momenca intiltencium Priangulo B AV; habenur mo-
  46. menta insistentium Segmento AB A.
  47. Ouxe aurem Frianeulo B A V insitic Semiquadrancalis Ongula, acieni trabens
  48. LA; CstPvramIS. Cujus vercex A, batis BV XV A = 5V; alcicudo, A V = V
  49. adeoque magnicudo ; 507 = Z5V R = 353: Distantia CenerI Braritatis d I A, 32:
  50. adeoque d Ta, 2 R - 3v: FF propierea momencum respectu T A, + 5V3 = 5V R2
  51. 25 R 253V; e respectu Fa, = 5V= R = 2 5V3 = 55VR 2- 65 R + +53V
  52. Haec itaque momenta, momeneis respectiris Onsulae Semiscemento B V A infi
  53. LtenEIS, (8CR F 35VR2 - 353 R = 2 53V, _3CR3 + 85yR - 453 R + 4 5V
  54. per ST.) subducta; relinguune, Ongula legmento AB a inliltenis, aciem ha,
  55. hentis TA, momencum respecta T A, 3C R3 = 35V R 2. = 12s. R; e retpectu
  56. ra, 3eR3 + sVR2 = = S. P: FC (propier magnicudinem, LC R2 = ESVR,, u
  57. SN. prop. praeced.) ditancia Cenuri pravicaris d F A, exic L5 et 2 = 95u R + 28. e
  58. 1X
  59. deR7 + 50R = 253
  60. T2CR - 45V
  61. 12C. R = 4 siv
  62. Ouaeque Friangulo B A V insistic. semiquadrancalis Uncula, aciem habens. 7 c. 5
  63. idem

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. 750. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0770?run=74