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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 708

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: 0.90.

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

The machine reads it as

  1. VCTVS DLA
  2. Praerex balim quadrataM, BIG L. L. DBC Planx lunc d criangulares ad punerum
  3. 908
  4. erac demontrau.
  5. C concurrences, unde de lxurapyramidalis olt, gux balim habet quadracam. Ouod
  6. 1.dofon.
  7. DSIxIO IV.
  8. ducic quae balim habet rrians atalem.
  9. Rianculum rectangulum in se ductum subalcerne, pyramidem pro
  10. Demonstratio.
  11. Riangulum rectangulum AB C, duccun
  12. in se lubalcerne, id est in criangulu BCD.
  13. figurami producat L BC D. dico illam esse
  14. prramidalem, gua bauim habeceriangula-
  15. rem. erisacur ex B linca L. B, recra ad plg-
  16. num ABC: ee AB linex xgualis: ponan-
  17. curque quoruis F. F C+ ParaIlelx AB. linea
  18. P F ducra in FO recrangulum producie
  19. EIF F C, rectum ad planum B CD; quare
  20. FF, FIG lincx quoque rccEX lunE, ad
  21. planum BCD, _ LB lince parallela.
  22. quia veco LB, FF aequales sune re-
  23. Cris AB, E F; ve AB est ad FF, id eAt BC
  24. ad F C, SCF B est ad R F; in direccum ixi
  25. THT SUNE L. F, C, _ L BC superticies plana
  26. est de criangularis cuius lacera BI. _ CL.
  27. concurrune in L. Smilicer ostendetur, L, H.
  28. D puncca in dircerum eNe et L BD Superh.
  29. eiem ese planam ec criangularem desinen-
  30. cem in L: BE quia LF C, L FTD linca rC
  31. cex sunc e P. H aquidiltar FC, adeoque
  32. CD, FCCEX E FI, C. D quoque in codem
  33. suncplano _ CL D criangulare planum de.
  34. snens in L. quare cum illa superhcieserian.
  35. criansularem. Priangulum isitur rechlgulum duccum in se lubalcerne, de c. Quod
  36. Riangulum reclatigulum ductuminse
  37. lubalcerne aequalc est dimidio prra-
  38. midis qua resultar et ductu ciusdem trian-
  39. Demonstrario.
  40. Tcrriangulum AB C. duccum in BC D crian
  41. sullin Ceiplumce DC B B prramis orca ex ducu
  42. AB C in se lubalcetne, dico prramide AFF BC
  43. duplam esse pyramidis CB F. D; planum ABC
  44. duccum in se B exhibee prramidem, quadracam
  45. AB E F basim habencem. quia vero angulus
  46. ABC reccus assumitur, eric BC alcicudo prra
  47. midis ex criansulo ABC in se ducco extribicat
  48. dueta
  49. eral demonctrandum.
  50. gulares sinc e concurrenc esin L. prramis cA Aixura L. B C D, habens balim BCD
  51. 61. Feninus.
  52. PROPOSITIO. V.
  53. suli in le
  54. culum xquale d Mle, subalcerne policum:
  55. sICq; F F B C Apyramis Orta ex duCtU A B C crian

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 708. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0765?run=74