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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 225

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: 0.88.

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

The machine reads it as

  1. c0d
  2. et
  3. De
  4. D
  5. c
  6. AD SEC FTONES CONI.
  7. ectus est, quadratis AB, BG, G F. quadiatum ducem AC xquale est quadracis
  8. quadeatum AC, quadraco LO: quare quadratum A Li aequarur quadratis AC,
  9. CF. vudenormalicer insictie brecta AC, ipsi G F in puncto 9. quod est in peri- b 48: primi
  10. merro circuli habencis diameerum BD.
  11. Secundo basis crianouli P F Contingat Cir=
  12. culum BOD in puncto D; ducaEurque AD, A
  13. ad punctum conactus, quod idem cA cum
  14. cencro balis coni BTTC; IUNSANEUEQUC AF,
  15. AF: quoniam c anguli BDF, BDF recti
  16. TIIHE, eE F. L lacus laceri D F, ac B D Sibi ipsi
  17. =quale cM, cciam bases BB, B Faquales c.
  18. TUHE. CrgOqUadEaTA BF, BA, quadraris BF,
  19. B A aequalia lunC. AEqui quadeatum FA ∞ -
  20. quacur quadracis BF, BA, _ quadracum
  21. E A quadracis BE, BA, quod recta AB
  22. olano balis comi lic recta, adcoque anouli
  23. ABF, ABR recti: quadraca igitur L A
  24. A, dc proinde criam recta P A, F, A equan.
  25. cur. Duare cum in Ilolcele P AP, balim bi-
  26. CCCE AD, cric haec e perpendicularis ad
  27. balim. leaque in hoc eriam cali perpendicula-
  28. is AD est ad circulum BCD.
  29. Tertio LIcrianSUIUI PEF axEM, cranLCAEPCF
  30. AB normalem a vercicc ad balim coni du-
  31. ctam, ac proinde ejus basis eadem sic cum B D C: tum perpendicularis a verrice ad
  32. balim trianguli, eadem quoque erir cum perpendiculari AB que aUCIEUE A VCTEICC
  33. ad basim coni. Ouare eciam hoc calu cerrio perpen dicularis ad balim criansul ad
  34. circuli peripheriam exister; in conoigicur (caleno, et c. Duod tuic demonstrandum.
  35. PR OP OSITIO V
  36. IOnus scalenus à cuius verrice verpendicularis cadicinera conum, (1
  37. Alececur per axem exhibens triangulum, ad cuius balim normalis du-
  38. catur a verrice procedens:
  39. Dico illam perimerro circuli oc-
  40. curluram cuius diamerer aequalis erir
  41. linex incer perpendicularem à verei-
  42. ce coni e cenrrum baleos eiuldem
  43. COHIITETCEPCA.
  44. ccimin
  45. Demonstratio.
  46. DCOnUS AB C Q CUIUS VEFEICC Per
  47. Pehareutaris AD demilta cadat inErS
  48. conum; occurrens bah in D: a quo ducta
  49. sIE D F, recta ad cenerum basc05, super qua
  50. ve diametro circulus DHIF describatur:
  51. deit peraxem hiac que cunque lectio exhi.
  52. bescriangulu A L Ci: cuius BasiS F. C primo
  53. secer circulu in F _HI, cu exverrice A dc.
  54. miccatur AII ad rectam C. Dico illam
  55. in perimeerum circuli DFI F. incidere. du-
  56. cacur enim ad punctum H, in quo CtY
  57. circulooécurric recta D Eli iunsancurque

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 225. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0282?run=74