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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 85

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: 0.82.

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

The machine reads it as

  1. ad
  2. sipe
  3. M Ed
  4. Est
  5. dF,
  6. IC rd.
  7. acigi.
  8. C den
  9. onei
  10. 0A
  11. B,
  12. ne,
  13. C
  14. 2d
  15. s.
  16. et
  17. GE OMF TR IC A.
  18. eadem ek, cum ratione C ad P ex constructione, igiturratio rectanouli AB, 2d
  19. BC, cadem elt cum Fattone Cad L. lca guantre A Cn alt B, Ha C alt B, CM
  20. permucando A ad C; vE B ad eSCHS AB a BC, CMLaCO B a
  21. D: Sed rectangulum BC ad CD; etiam eAt a ve B adt D; ergo racio AB rectanoui
  22. ad rectangulum BC, cademmen Cumracione ecation BC, 2aC Drccanouta.
  23. eu adcemeaaudde et a e cacequa enC alte vide cclaalio
  24. ectanguli C D, ad DL. seclansulum, eadem elt cum racione rectanguli B C, 2d
  25. CD rectangulum; quocirea in concinua analogia sune rectangula AB, B C, C D,
  26. DE, cum unc inratione A ad C. Constacigitur vericas propolicionis.
  27. R OPOSEFIO
  28. C, tres in continua rarione. Sincq D, F, F, in eadem vel di
  29. tinuata ratione.
  30. BICb rectansula CD, CE, C F, item BI, BF, BF: ILEM AD, AF,
  31. ese incona alaZCa.
  32. Celangulum CD est ad rectangulum CF, ve D ee C CCclat- b1. Sent
  33. Suru CM Ad rectangulum C I, VE F, ad F: Sed D, F, F ex hypochesi sunc conci-
  34. Demonst
  35. nux proporcionalesiereo aTeaa CD; C L. CF lunein concinua analovia. L0-
  36. demmodo probancur B D; B F, B E rectangula, item AD, AP, A F esse concinue
  37. proportionalia. Duod crac demonstrandum.
  38. aetstetL
  39. Ic A prima ad B secundam, ve C terria ad D, quartan.
  40. Dico quadracum capetu, ccansulum lub secunda ee rerria, et
  41. Quad uu upe edo
  42. Demonstratio.
  43. Acio quadrati A, ad rectangulum CB, Ccomponirur exracione A ad B (LL CM C2) Senri.
  44. C ad D,) e exracione A ad C. Se lalto eclatsu BC, dd D quadrarum,
  45. compolica elt exiildem rarionibus: nam ratio recranguli BC, ad D quadracum,
  46. componitur exratione B dd. HC et A ad, C; ee ex ratione CadD, hoc ell A
  47. fauaum D. Ouoderac demonstrandum.
  48. ad B: erso luneeres concinuae quancirales, quadrarum A, recrangulum B C, et
  49. eROPOSLTIO L.
  50. Inetres linex AB, BC, C D in continua analogia.
  51. Dico AB quadcacum primae, rectangulum ABC, lub prima ee
  52. de Cellas delilee Dquadracum cerrix, esse in concinuara leric ciuldem
  53. lacionis AB ad BC.
  54. Secunda; quadrarum B C sub lecunda; rectangulum B CD Cub sccunda
  55. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 85. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0142?run=74