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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 411

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: 0.86.

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The machine reads it as

  1. Ht
  2. c
  3. d
  4. 10
  5. ARS TF, R TI A
  6. Sectionis socum eo muluas parabolarum intersectiones
  7. Geometrice desienat.
  8. PROPOSITTO CXIV
  9. Arabolam ABC cujus axis AD, contingat in B quXuIS BL, OC.
  10. Lcurrens axi in E: poliraque ordinatim BD, ponatur B F normalis ad
  11. B.F, occurrensaxi in F.
  12. Dico DF lineam aquari dimidio laceris recti
  13. quod axiinsernie.
  14. Demonstratio.
  15. Vmacur A C aequalis laceri recto. quoniam BD ordina-
  16. eim ponicur adaxem, quadracum BD aequale est rectan-
  17. sulo D AC: quia vero angulus, B B F rectus est, eric ee qu2-
  18. deaco BD aequalea rectangulum E D F. iBicUE E D F. DAC
  19. rectansula luneinter le xequalia, ex Ve F. D ad AB, sC A C+ est
  20. ad D F: eAt aurem E D dupla bipsius AD, cum F B, SccOn.
  21. ringens; igitur _ AC dupla eAt rectae D F: ad coque DF a-
  22. qualis dimidio lateris recti. Ouoderar demonstrandum.
  23. PROPOSITIO CXV.
  24. Adem maence Routa: SIE A C latus rectum et
  25. sillius dimidio eguerur DF: ponatur aurem or-
  26. dinacim DB, ex B F. contingens, iungancurque BF.
  27. Dico angulum E. B F rectum esc.
  28. Demonstratio.
  29. AVm E B sic Continsens, ex B D ordinarim pOSiT2, erie CR DaUPIA recte AD: _ C Ibid.
  30. quia A C dupla ponitur D F, cric D AC rectangulu daquale rectangulo F. D fi: a10. out.
  31. sed D AC rectangulo cquale est quadracum BD, isitur _ quadrarum D B aequale
  32. EX ele-
  33. ckrectangulo F DE, unde cum D B normalis POHAEUTipGE F, paret c angulu F. B F monis.
  34. eerectum. Duoderac demonsteandum.
  35. PROP03111D CAV1.
  36. DArabolam AB C cuius axis AD, contingat linea
  37. BE, conveniens cum axe in F: policaq3 BD ad F. B
  38. rectam normalicer, dividatur ED bitariam in f.
  39. DicoF A quartam parrem esse laceris recti.
  40. Demonstratio.
  41. riam Sicdluila, _ F. C+ in A (ob F B contingenLEM) VEF. D
  42. ad BF, (IC P. C: eA ad P A, vnde ex residuum AF ad residuum
  43. GD, VEcocum P. D est ad dimidium sui F F: AF igicur dimi-
  44. dium est C D: hoc est quarra pars lateris rectii cum CD late.
  45. risrectidimidium (Ic. Ouod etar demonctrandum.
  46. FFF
  47. C
  48. DOnacur B Gordinacim ad axem; cuim ixitur E D in P Bita-
  49. relo

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 411. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0468?run=74