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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 264

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: 0.78.

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

The machine reads it as

  1. 1 1 11 . 1t. a1. 1
  2. 164
  3. ins.
  4. =13. tuiin.
  5. e L. L.C d2.S
  6. Corollarium.
  7. TIncpatet quadrilatera C. F B A, DCF A, equalia esse, eodem enim diseursi
  8. probabimus equalia esse cangula ABF, AP C, quo probauimus aequa
  9. tROTOSATIO XEXIX
  10. EcentA BC elliplim au quevis parallela AB, C D, junctisque AB.
  11. recta EM paralteta ip I AD, concingar sectionem in F, d exF
  12. ducacur EF, XqCaHS AB, secans AD, C. B lineas in G X FI.
  13. Dico continscillem per P ductam aequidistareipa B C. ui ba
  14. XA ol reit.
  15. Demonstratio.
  16. 3+1
  17. VeaneuF ex LcenerO linCX IP, LP OCCUTFeMEOS AD,
  18. CB in K e F: quoniam igitur PM concingens, x-
  19. quidistat AD _ PF diamerer ad contingencem ducta,
  20. secet AD lincam in R, cric A D in R dinila bitariam;
  21. est aurem recta B C in T. divisa sCuE A D in K. recta
  22. enim KT. iungens puncta K, L parallela eAt b ipsIS AB,
  23. DC. igicur _ BC in T. secta est bifariam a diametro
  24. F; vnde e cangenri per si ductae c aequidistat, uod
  25. Tuie demonstrandum.
  26. 121is dC
  27. 11 311B etseetI A
  28. PRODOSITIOLXI
  29. Alrculus super axe maiore ve olamerro deseripeus ellipsi excerius in
  30. ei ACF, ADO.
  31. Demonoorum.
  32. AB C cllipKB axto BL CnEOque
  33. duobustancum purtelis occurrit.
  34. ilius F MMeccallo F B circulus declibacr
  35. dico illum ellixsi in duobus cancum punctis B e
  36. Doccurrere. occurrarenim si heripostit insuper
  37. inpunctaA, de per A ordinacim ad axem aggtuF
  38. AF. dycaturque axis minor CF. cric isicu r
  39. BF D rectangulum ad quadracum L AHC B P. L
  40. rectangulum ad quadearum B Co: sed BL. D rC-
  41. ctangulum in circulo cA ae quale quadrato F AI
  42. isitur ex rectangulum BF D, id est, quadracum
  43. BF aequale est quadrato CrP, quod heri non
  44. Porest cum B, P. linea maior sic quam OR. ixicur
  45. circulus pum occurric in A: nec in alio quouis puncto, prXTex B e D. Quod
  46. tuic demonttratu.
  47. 6
  48. imili discurtu ceabuus circulum circa minore epicos ae acteri.
  49. prum in duobus tancum punctis excremis axeos elliphocCurrCEC, de forum inera
  50. etdesiti
  51. crutocaosio ut
  52. vtas illa B R O
  53. (51
  54. Corollarium. d L b~ 1
  55. elliplim existere.
  56. ( e e ee. e e 1 . n p 1 1 1. e s . u u . p iet

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 264. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0321?run=74