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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 329

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: 0.85.

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

The machine reads it as

  1. pledo
  2. e
  3. AC,
  4. CCHI
  5. EL L TPSTS.
  6. 22
  7. OcCurrences AC linex in LTHI, e circulo ABC in II: Fancq rectis CF
  8. aequaleslince C L.
  9. Dicopuncta A L. L. esse ad cllipsim.
  10. Demonstratio.
  11. VCanTIE Ex C per C lineX CGK. ve
  12. ROC rectangulum est ad rectangulum
  13. KGC, siC = FC F. rectangulum est ad rectan.
  14. culum LiCtRi sed eAbrEKC C rectangulum
  15. ad rectangulum RCC, sic OH linca ad li.
  16. neam CIB, _ VE FCF rectangulum ad rc-
  17. ctangulum FOF, SIC FC linea ad lincam
  18. FC, igitur ve GHI ad GFI, siC F C ad F C3
  19. id est L. C ad IC, e componendo permuran-
  20. do L. HIad I. HP, vrC HI adCHI. Ouare pun.
  21. aa ALL. sunc ad ellipsim.
  22. PROPOSITIO CLZI.
  23. VIE ABC ellipsis diameter quaecuin-
  24. que AB, actilque per A lincis C D,
  25. que cllipli OcCUEraHE in C C, AaEVEAC
  26. ad AC, siC AD ad AD, _ VE AC ad AD, sic AB ad AP.
  27. Dico puncta A, D; F ad eandem elliplim elso.
  28. Demonstratio.
  29. e cua
  30. Votam eh e l palalteta ClansaGC
  31. Lproinde LC A, DC A lmilia, crunc ve linCa
  32. C a ad lincas AD Cinsulae ad Cingulas, ica singula
  33. FC ad singulas CD. Aequi singul_ C A CuHE 2d
  34. singulas AD VeB A ad AF. EroOsingula FC sunt
  35. ad singulas DO, VE B A ad AF. Ouare quam FA-
  36. tionem habet vna FC ad inam DC, candem ha-
  37. benesinoulx reliquae F C ad singulas reliquas DC.
  38. lgicur permucando velune F C 2d FC, ita CD PunE
  39. ad DC, ddcoguere lune quadrara FC ad quadraca
  40. F C, ica quadrata ED sunead quadraca OD. limili-
  41. ter demonstrabimus, VE A F sUnE ad A F, AC eNC AG
  42. 2d A9. Vnde vereliguae FB sune ad reliquas F B,
  43. ica reliquae G P. sunc ad reliquas OF. O uare cumre-
  44. etangula AFB racionem habeane ad lele invicem
  45. compolicam exracionibus AB ad AF, _ F B, ad F B.
  46. quae ostenla lunc eadem esse rarionibus AC ad AC,
  47. _ GF, ad OD, ex quibus componicur racio rectan-
  48. sulorum AOF; erunc ve rectangula AFB ad rectangula AF B. Ic rectangula
  49. AC Pi adrectangula AO B. Arqui rectangula AFB sunc adrectangula AFB, VE
  50. quadtaca FC ad quadrara F C, hoc est per luperius demonstraca, ve quadrata CD
  51. ad quadrata GDs ergo rectangula AC F sune ad recrangula AG F, ve quadraca
  52. CD ad quadcaca CD. Puncca isicur D A, AD F sunc ad ellipsim. Oyod exac
  53. demonstrandums

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 329. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0386?run=74