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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 986

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: 0.89.

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

The machine reads it as

  1. NGVLA CXLENDRIC
  2. Demonstratio.
  3. Sc enim per PrXCCdenCeM
  4. rectanoulum EBD, aqua
  5. le A C, F K rectangulo. sed re-
  6. clangulum C.BD Per candem
  7. aequacur aCLC ECclaliu
  8. 10. lgicur rectansao etill
  9. aequale est BD. L C rectane-
  10. lum. Duod Fuie demortata.
  11. dum.
  12. Onatur in lemicirculeACca Moendens arcum C F, ex cuins
  13. cerminis perpertu utes Hane P. F, CD ad diamerrum AB.
  14. Dico rectangulum quod continerur
  15. veraquesimulCD EF, _ C F aqualcel-
  16. Ccrectangulo contento rect a linca DF, et
  17. rectâ P. HI subrendente circumferenciam
  18. E BII, quae una cum circumterencia C F
  19. Semicirculum CBHI perticic. F.A Pappi
  20. ibidem propol. 23.
  21. Demonstratio.
  22. Omplero circulo, sicipsius diameter CHI,
  23. e producta CD in K, ad ipsam perpendi-
  24. cularis dUCAEUE E. C, _ FFI, FK tunganeuT.
  25. Duoniam igitur diameter AB (CCAE C K ad re-
  26. a05 angulos, aequalis est CD ipA DR. Scd _
  27. ED eA aequalis B F. ergo OK aequatur dua
  28. bus CD, e RF: est aurem G F. requalis eriam
  29. DE; que vero reliquam semicirculi C F. HI cir-
  30. cumferentiam lubrendie est F FI. Itaque quo-
  31. niam angulus K cA ae qualis anguloTI, _ IIFC
  32. angulus in semicirculo rectus, aqualis recto
  33. RC F; crunc eriangula HF C, K F G xquian-
  34. gula. ergove IIF, ad E C, ita R C ad +F, e
  35. ob id rectansulum concentum HE, P C, hoc est HI B, D P, aequale cA ei quod OK,
  36. CE hoc est ei quod veraque simut CD, PF, e C P continetur.
  37. EROPOSTTIO ZZZIX.
  38. IIdem politis demitratur perpendicularis P. I ad diamerrum HC.
  39. LDicorectangulo CF, P. lX quale esse HIF, C Prectangulum.
  40. Demonstratio.
  41. 2B.a. VnEenim aerIanSUIZ CFT, C F HT Similia, ac proinde laFerA CP, FP sunE lateri-
  42. bus CB, P. FL proporcionalia. un de rectansulum CB, PHL rectangulO PP, C P. est
  43. aequale.
  44. PkC.
  45. ROPOSITIO ZZEVIII

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 986. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1043?run=74