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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 226

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. PROL F GOMEN A
  2. DO: cririgitur quadrarum AC xequale quadraris AD, DO, hoc cA quadraris
  3. AD, DFI HIC: quadracum aucem AII aequale cA quadraris AB, II.
  4. excedic AC quadracum, quadratum AHI, quadrato IIO: igicur quadratum AC
  5. quactatis AFB HIC MMaGa adeodeca HEl horinalisadlincam L Ct. unde
  6. L2b
  7. pacernormales omnes a verrice A hoc uCal all bales criangulorum perarem de
  8. millasin circuu l Cadere.
  9. Calus secundi e cercii quando balis criang uli auc concingie circulum DFF, duE
  10. incidic in BF. C, eadem est demonstracio, qux proiildem calibus superiori propoli-
  11. cioncallaca eHt; conusigicur lcalenus, ac. Ouod tuic demonstrandum.
  12. PR, OPOSTFIO YI.
  13. in cono scaleno perpendicularis a verrice ad balim duera extra
  14. balim cadac, productum sir aurem sectione per axem facta quod
  15. cunque criangulum:
  16. Diconormalem a vertice ad balim crianguli ductam, eNe ad peri-
  17. pheriam circuli, cuius diameter est recta incer centrum balis coni et
  18. perpendicularem a verrice ad balim coni inceriecta.
  19. Demonstratio.
  20. Xcrabalim coni scaleni A B C perpendicularis a vertice cacac recta A D, 1dt2-
  21. GNC per CenEruM BaseOS F, recta D F circa quam circulus deseribatuE D HF.
  22. Donatur quodcunque rriangulum per axem F AC: e procracta OF vique ad pe.
  23. ripheriam circuli D HTE (ponimus enim primo Basim F F secare circulum DHIB)
  24. domiceneur deinde recta AFI ex puncto verricis A, 2d punctum quo lecaeurcireu-
  25. IuS D EIF 2 linea OF. Dico illam Fore normalem, ad rectam EF productam. du-
  26. cancur enim DC, DII: cricigitur quadrarum A C Xqualc duobus quadracis AD.
  27. DC: (quoniam A D normalis cst ad plani balcos productum, a deoesi eciam ad DO)
  28. 131121
  29. Hoc

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 226. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0283?run=74