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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 417

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: 0.81.

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

The machine reads it as

  1. m Demonstratio.
  2. P A R A BOF A.
  3. Vncta A B OcCUTEAE R C. lineis in L.
  4. Ouoniam POlinca in circulo AH B,
  5. ad angulos rectos in R Cccac ciameerum
  6. BD, recta P G in K, divila est bitariam.
  7. Sed e FTI in parabola ABC, quoque in
  8. X dinila est bitariam; rectae igitur P LI,
  9. TCFIACOE SO X QUALESSUINE. RRUECUM VE AT B
  10. tectangulum ad a rectangulum AL. B, HC
  11. FL Er rectangulum ad rectangulu F. L C
  12. icem FTL I rectangulum 2d. B rectangu.
  13. lum FTL I: sed F. P. C rectangulum x qua-
  14. le est rectangulis TIL P, B FT G, igIEUF _
  15. F HF O rectangulum est ad rectanSuIU RHTG, vE A L B rectangulum ad rectan-
  16. sulum ALB; id cA P R B rectangulum, ad recrangulum FR B. Duod crac demon-
  17. Atrandum. cr
  18. eROEOSITIO CXXIX.
  19. Sto AB CpatabolX axis AD maior dimidio laFeTIS FECHI: CCnETOGC
  20. sD incervallo AD, circulus deleribatUr AB F. : OCCuTTAF IS paraBOla
  21. in B X axi in F. ducaturque ex B, linea B F ordinaeim ad axem.
  22. Dico lineam P F. aqualem este lareri recto.
  23. e
  24. eise
  25. Demonstratio.
  26. Voniam B F ordinacim ducta est 2d axem, quadratum F B
  27. Laquale est reccangulo super F A ex lacere recto: sed es
  28. FB quadracum quoque aequalC CA RCCFanOUIO A F R : RCCFAN-
  29. sulumisitur AF F. aequale est ei quod AEsUPeF A F d laFCTC
  30. rectb. quare FP linea laceri receo es aequalis. Ouod crac
  31. demoncrandum. l
  32. 1311. I
  33. 10me ROBOSITIO CXXX
  34. Databolam AB C cuius aris AF concingat in B li
  35. LneaBD, Occurrensari in D, Ponatur ducem ex B liL
  36. nea BH normalis ad contin-
  37. 1
  38. genrem, occurrens exi infl. Cen cale
  39. troque _ inceruallo FIB cirea- leuD
  40. cillus describatur BOC: por2.
  41. curc dd arem normales quor
  42. cunquo lK, Occurrentes Para
  43. Bolain OL, contingenti BDinuo LV
  44. It FF. _ circulo inera parabol
  45. lam incercepco in I_K.
  46. Dico CKlrectangulum ef.
  47. se ad rectangulum GKI, ve
  48. quadrarum B B ad quadracuin
  49. EB.
  50. serter11D
  51. Virccioslatibo
  52. DOnatur BC aquidistans F L, OC.
  53. eutrens parabole in C; iunctaque
  54. 2
  55. Dhutue
  56. 0c
  57. 1.II.
  58. 111I
  59. 1111
  60. 11III

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 417. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0474?run=74