Leibniz Legible

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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. 842

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: 0.81.

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The machine reads it as

  1. 342
  2. 20dR- 23
  3. De Calculo Centri Cravitatis. Cap. V.
  4. 32
  5. 2
  6. deoque, a +
  7. 200 + 32
  8. 30 R - 5V
  9. 50R - 5,: Ejulque propcerea momentum relpecta ra, Bc R. - 3C v R. + ZCV;
  10. et respectu bV, 8cVR = + CV: Superticiei rero semiconrertione ipsus AB circa
  11. 118. 1)J. Slavit
  12. que graricatis inde distana 240X
  13. ra deleripiae, momet et to ten L0 R - 15C v R + 36V; cenri
  14. =800R
  15. + 122
  16. ti
  17. 3a 57
  18. Eadem etiam Sc habentur. Sumpris Subrentis AB =6, (adeoque et curvis
  19. f.18. 177, AB = 20) druchmecice proportionalibus; adeoque (per SC.) dirita Ar curra
  20. in parces aequales; exic lingulordim b punctorum d Y a dillanciae, A Y (= 0
  21. 2 X. (hoc elt, uc series secundanorum, seu ordinarim applicala in semipara.
  22. bolae complemento;) corumque à r a distanriae Y ∞ = 2 R ZR. Adeoque s
  23. intelligatur AbF curra Fg. 177. in rectam expandi, vel huic aequalem rectam
  24. Tumi ABF, vel aBP, H∞. Z8F; Rjusque b punctis, aequaliter ab inricem distanti-
  25. vus, intiltentes rectae bP ipsis A V respectiris aequales, tiguram A PF complen-
  26. tes: Fxhibebunt hae rectae lingulorum B plinctorum, seu particularum minuta-
  27. rum momenta respectu ipsins T A fg. 177. (Peur e reliduxe pB, carundem
  28. momenta respectu Za; nam propter Bp = A V, erit DB = V a:) FE proPterea
  29. cum planum AF P, tOrIS A F CuErE; cum planum A BP, CurVX AB, momien-
  30. cum respectu T A: Fe similirer planum A P a, CUETA A T,, et ADBa, cuera Ab,
  31. momenium extibebit, respectu ra; de ADV, ejusdem AB momeneum respectu
  32. BV. Fst autem, (Proper orctinalas b D = =, in dupsicata racione diametro.
  33. rum AB = 20,) Prilineum A Pr Temiparabolae complethentum; ipsumque A P a,
  34. Parabola: Adeoque (proprer A D = 4. R, ec rP = 2 P,) A P + = = R; e A P a
  35. RE; (per prOp. S. hujus:). Ouae uaque Cumr cUera Ar momenia respectu
  36. Y A _ ra. Similicer; Proptex AB = 20, e Bp = =; erit CurVR AB mo-
  37. B3 lit B. crCiB.1ZeC
  38. mencum respectu TA, ; ee respectu bV,
  39. 25
  40. y e Ap BC (= AbBa = A pb)
  41. 3 R rehissisee 1 3. Aoasi BOVC
  42. cjuldem, respectue r a, momencum. Hoc est, (Propiec e = 2 V R)
  43. 2CV, et 3C2, e 4C R = 30V. VE prius. Oua guidem momenta, eadem surI
  44. acque correspondentes Ongulae; ut lapius dictum ettsrsicu
  45. Cumque quae has superticiales Vnoulas constimune rectae, sune ipsarum ab acie-
  46. bus suis distanciis aequales; adeoque momenta, ut iplacum quadrata: Erit suPCr
  47. ticialis Ongulae AF aciem habencis T A, momemcum relDectu P A, omnia rectarum
  48. . uleue ad corum marinum, noc est quadrurum
  49. 22
  50. bp quadrata, hoc est omnia
  51. 182.

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. 842. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0862?run=74