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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 203

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: 0.84.

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

The machine reads it as

  1. ele
  2. BV
  3. de
  4. 11
  5. ertin
  6. a
  7. les li
  8. ND
  9. AI
  10. ncta
  11. et
  12. cet
  13. A
  14. n
  15. ud
  16. CIR CYLVS
  17. in quo circulus A EB secabar recam QC. Ount cum circuli K G H diametex
  18. aequalis sic rectae OL, diametro circuli BL C O, sequalis quoque crie rectae IC
  19. circulus igieur R GFI cranlic per P. Aequi eciam lupra oltenaus cenerum eius df-
  20. Cc in recta OC tranlcunto percenerum circuli A E B; CFFO CITCHIUS R OLL CalIZHL
  21. circulum AF B C. Ouod crac demonstrandum.
  22. PR O P OSI F 1O
  23. per ABC crianguli laceribus semictcus calibantur ABL, BIC.
  24. RGC, QuOTUM CCHETA SINED, E, F, cemtris aurem F vel P, circuli
  25. Construancur HC, KN, qui circulum AC C Concingancin C d H.
  26. Dicocoldem, quoque reliquos concingere In. L, L L.
  27. emonstratio.
  28. TCaNEUE FF, DF G, DF. quoniam
  29. diamerri AB, CB bilectae Cune in
  30. Cencris B, _ F, erie P E parallela AC.
  31. ergove AB ad EB SC AC adt F F. quac
  32. ec cum AB dupla SIC F B r eFIC AC du-
  33. ola quoque EF. Ergo AD dimidia iplius
  34. a C, hoc est CD, aequalis eric F F lmi-
  35. licer quoniameres diameeri AC, AB, BC
  36. bilecta sune in cenerIS D B, R PACCE
  37. ED; BC, _D F, AB essC Parallelasip2-
  38. Fallelogrammum isicur est R BF D. ergo
  39. FB hoc est FL aequalis est DF. OuarE
  40. CHIM EOTA F P EOti GD, _ ParS FF, parti D F. xequalis sic, rehiduum quoque TF
  41. aequale crirresiduo C F, Hoo est circuli diametro CF, siue F. FI, quare punctum 1.
  42. commune elt duabus peripheriis OII ec BIC sive puncta FI ex I omnino cadem
  43. sune incer se. Vnde cum. R. F Per cenera circulorum ducta per Lpunctum eranteae,
  44. manifectum est in eo concactum heri eodem pacto de alcero circulo cenero F de-
  45. Ccripio demonstracio proceder.
  46. PROPOSTTIO LXV.
  47. Netiansulo ABC, sinc in continua analosia BD, B A, BC: d per
  48. puncta A, D, C describatur circulus.
  49. Dicocum rectam AB contingere.
  50. Demonstratio.
  51. Tonam ADC. puncta in perime.
  52. lunc circuli, igicur sinon concingae
  53. ecta AB, circulum, occurrac eidem in
  54. alcero puncto F: igicur rectangulu AB R,
  55. aequale erie rectangulo DBC, hoc est
  56. perhypochelim quadrato B A, quodb eAt
  57. absurdum: quarenon occurret B A, cir.
  58. Monikiin A.
  59. P ROPOSITIO LXVI
  60. 1 super AB C rrianguli laceribus segraenca circulorum similia deleri-
  61. Peatuerint,
  62. L X IV
  63. Dico

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 203. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0260?run=74