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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 316

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. ar2y. hriios.
  2. LlipSeoS axis SE A, C, poli D, L, ex quibus ductx SInEDB, PFO
  3. Mormales axis ellipsim aurem canSac IL B I in B, occurrens axi in R,
  4. recta VerO OF in L, iUngaTuTqUED F.
  5. LL LP SIS
  6. POSTFIO CXXXVII
  7. Dico rectangulum F LC quadcaco D F aequale esfe.
  8. b120. hucines.
  9. Demonstratio
  10. Voinam DB, L. B auc
  11. clcte Fetio del rlcabu
  12. aBut ABB, LBL 2 xqualc
  13. Mmeote suta DB.llparalle-
  14. lae anguluskBD angulo L lB
  15. aqualis CIt, Xquanturigicur au
  16. Sct LBR, F lB, C130BR, II
  17. xqualeslunc. Dende quia le
  18. ctangulaC L. LL, C DA baqua-
  19. unexqualia, ad eoque _ rectae
  20. LF, DB a. quales. Juare cuu
  21. lia Cune, ccra quadraca L. L, DB
  22. 2x. huiu
  23. OB, BHCXgu LL3LL
  24. etiam BP. D F Xquales erunE.
  25. Algur BF onca eC equalIS
  26. EI. erso e DF CAaequalis F I,
  27. e quadracaproinde DF, B IX.
  28. qualia sUnE. Sed quadrata DP.
  29. E F, aQUanEUE quadratO DP3
  30. _, quia OF bilecta eA in P ci-
  31. que adiecta FP, rectangulum GLF cum quadrato P. F aquacur quadraco FI.
  32. quadeata ergo DB, B F aequantur rectangulo GTF cum quadrato F F. Dempro
  33. isicur communi quadrato P. P, remanene xqualia rectansutum C PF ee quadratum
  34. DE. Ouodera demonstrandum.
  35. EROPOSITTO CXXKVIII
  36. AIACH pOMIS AMCantur quorcunque alix O, FL, R, MI, normales aXI.
  37. Dicorectangula HI, Q, M, quadraris DK esse aequalia.
  38. Demonstratio.
  39. Lcans M IIO, dIC In 5. quoniam NC, TC, OM luncnormalesaxi, aequi
  40. distanc. erro per ca quae propol9g. huius demonstrauimus, rectanoutum F LE, aequa-
  41. tur quadraco SI; de rectangulum IIO M quadraco O aquale cA: quare requa
  42. dracum IS ad quadeacum O, hoc est requadrarum S B ad quadratum OB, hoc
  43. elt ve quadeacum F. D ad quadracum RD, ita rectangulum F. PC ad rectangulum
  44. EIO M, e permucando vereetangulum FLC au quadracum P. D, ita rectangulum
  45. HIOM ad quadratum R D, sed rectansulum F PC Per praeced. aequatur quadra-
  46. EO F. D. Ergorectangulum quoque ITOM a quatur quadratO RD.
  47. Similicer dem onstrabimus ad alceram parcem poli D, rectangula ITOM qua
  48. draris KD elle aequalio. cansar enim ellipum A P, in A occurrens rangenci in P, d
  49. cactus iungac AB sCCAnS O MI in R. in crianoulo BCN, Ducatur aliqua O, Pa-
  50. rallela NC normali ad axem, ira sc habens ad O B, Vr O R ett ad OB. cricixicur
  51. PETU.
  52. GLLIpSIM FANEAE CN in C, OCCUrTENS tanBCnEI BN in N, ducarurque BC le
  53. u e e e e u 1 s e e . s e et e u1t t e e t p t. e u e e e e 1e te e e t e e e te e ut s 1 e e e ss

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 316. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0373?run=74