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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 412

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. perete
  2. A R A B O L. L
  3. Demonstrario.
  4. BOnacur ordinatim linea B G: ee BD tortmalis ad con
  5. encom P B. Ouoniam anguli F. BF, B P. F ex hypo
  6. chesi xguales TUnE, CrINE e F B, F F linex quoque aequa-
  7. les, vnde cum ex angulus F B D reCtUS LICS RICCHETOF, in-
  8. ceruallo F R circulus describatur; cransibie ais per B et D.
  9. Duare _ FF, LD lincg rquales; adeoque LA ae qualis
  10. bquarexe parci laceris recti. Duod crac primum.
  11. Rursum cum angulus F B D ponacur rectus, de B C ordi.
  12. nacim applicaca ad axem A D, eric D C Equalis dimidio cla
  13. cerisrecti, adcogue dupla AF: quare L A ad F C, VE AF
  14. ad CI, d Coponendo ve F F ad FD) RC AF ad CD:
  15. quare L. D CapIa es ipsIuS F F, d cirCuIUS CCHErO PinCer-
  16. PEB incer se aequales. uoeat demonstrandum.
  17. SCtaG A E x quali AD, aucatur ex D linea D C occurrens parabolae
  18. in C; e ex C erigarur diaerer CF, Occurrens J. F. iqua normalis sic ad
  19. Dico DC. F Olineas ce incer (c aquales.
  20. Demonstratio.
  21. Ciacurper C comtinsens C C. conueniens cum aire
  22. in C; ad quem ordinacimm ponatur CFI. Guoniam
  23. CC es contingens; rectx AC, A FL d aequales lunes
  24. addicisigicurx qualibus AD, AR EOEX C:D, PII a.
  25. quales sine; sed D C recta este xequalis CFD, igitur et
  26. D C aequacurlincx HIF, id est C F. Quod erac de.
  27. monstrandum.
  28. 1t 35
  29. PROeOSITTO CZIZ
  30. Darabolam ABC cuius axis AD produ-
  31. crus exera sectionem, lic x qualis laceri re
  32. loBE. A x qualis taFANSMIIS LBF.
  33. BF F, L BF esscinter le alsales.
  34. R SPOSTFIO CXBII.
  35. DArabolam AB C cuins axis AD, contingacrecta quaeuis BL, ec angu-
  36. Dico F A lineam aequalem ese quarea parti lateris recti; _x (I PACE
  37. quarra pars lateris recti, dico lineas FB, FF) de consequenter angulos
  38. penca
  39. b116. ha-
  40. c I2+. hM
  41. 11
  42. valIo F F descripeus, cransibit per B ex D; cruncqs linex FB, F F X anguliF BF.
  43. d17. huiuim
  44. c. 117. ha.
  45. aXCM AD) in F.
  46. P R OPOSITTO CXVIIIdo
  47. SeoA B C parabolx axis A B alsualis quarrae parei lateris recti: Fa-
  48. C. lineaC C quae semicireuli concinsac in C.
  49. DicoAC, C6 lineas elle Mut te aequales.
  50. eto, contingat in Alinca AF, demissaq ex A sCCanTE AC, CriGAEUIF exC
  51. diameter C F, occurrens AF contingentiin F, d DF quae parallela Ae
  52. AE IN F, FaCEOGUC SIIDEF F F vE dTaLICILO, CemicirCUIOF GE, duCAEUF ex
  53. Demor.
  54. ( us u e e sus et . s s p 1 . 1 ut . t . 1 1 1 1e . 1 1 111

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 412. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0469?run=74