Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 847

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: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 15 X. + 37. Re +36 Lo uber exacum Omn.
  2. dem duptum, nempe
  3. aC2
  4. =33 R3 4757 R 19 X et deslexatum Omnium
  5. P rectam A BFs. 282, curramque A b Fg. 177. spectanium.
  6. Insuper Omnes s (sumpris c arictimetice proporcionalibus,) sunc idem acque
  7. omnes bo Hi5. 282. seu dupium Omnium 5 = 70 tis. 183. (ut S Cc. Octentum est.)
  8. Sea Omn. 5 (= Omn. 20) sunc Omn. V: 4 R2
  9. =c
  10. seu Omn. 27. Adeo.
  11. que Omm. 55, (seu iptius AaV, vel A7V, momentum respectu AG, vel COF
  12. respondens Ongula) sunc, Omn. C V: 4 R2 - c
  13. 2R
  14. :(Idem acque Ungula A990
  15. vel A Q97, aciem habentis AO, momentum respectu AO, per 2 R diritum:)
  16. EF Omn. SC; (hoc est, momencum Ongula Aav, vel A70, AB. 183. aciem tia-
  17. benis AO, respectu ejuldem AO,) fnE Omn.
  18. E. Ec provaltu Mt
  19. et tdit ste
  20. 4
  21. oticab
  22. 4a
  23. Teu Omn:
  24. d03 Letu
  25. DeCalculo Centri Cravitatis.
  26. 34
  27. PTOP. XXII.
  28. eo spectancium. Ft C Prop. FiE. 177
  29. cex AF A8. 282. figura alcicudinem, duplam alcicudinis A a A8. 183.) eju (. 183.
  30. 4
  31. seu Omn.
  32. Sunt autem mgnes V: 4 R = c: leu Omnes X: (sumpris e arichimetice prO. FIB. 283,
  33. porcionalibus,) ligullatu agitates rectis rg, complentibus quacrantem A aO 184
  34. fig. 183. (per SG.) Ouibus aequales incellisantur rectae r9 quadrantem Aa C
  35. fis. 284. limilicer complentes. Cui adjacere incelligatur semiparabolocidis Cubi-
  36. calis complementum, APa, quadrato AaPD inscriptum; verricem habens A.
  37. Cujus icaque Parabolocideos Latus rectum erit 4 R (quod utique in diametttim
  38. AD = 2R, ductum, clliciat 8 R. Cubum ordinatim in Paraboloeide applicara
  39. OP = 2 R;) per quod itaque 4 R, S diridatur recta DP = A∞ = 2 R, cubus
  40. 8 R3; habebicur Diametex in Parabolocide, rel Ordinacim in Complemenro axpli.
  41. catas AD = aP-
  42. R3
  43. = 2. P: Ee similices, Si per idem + R3, diridatur, recta
  44. ed = A3 = c, Cubus e; habebicur diameter in Pacabolocidle, vel ordinacim ap.
  45. plieaca, in complemenio, Ad = rP = P e lic ubique (Sune urique Ordi-
  46. nacim. applicatae in semiparabolocidis hujus complemento, in diametrorum inter.
  47. ceptarum complemenii ratione criplicata, teu uc carum Cubi.)
  48. Cum itaque qux quacrantem AaO A8. 184. complent rectae r 4 Cnt ipla
  49. X = V: 4 R2 - 62: quaeque semipasabolocideos Cubicalis complemencum A a P,
  50. complene recta rP, sinc ipsae ; quae ex his fiune rectaveuta sune ipsa
  51. CV: 4 R - c2:
  52. + se3
  53. 4 L

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. 847. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0867?run=74