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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1082

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.

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The machine reads it as

  1. 1082
  2. a1B. hyib draris L HI, N M, _ reCSS L E_L AS sumpeis, hoc esta rectangulis PLO H
  3. deaca PM aequalia sunc rectangulis PL 9, LNV una cum quadraris NM. ablacis
  4. icur communibus PP 9, rectangulis ec NM quadracis, remanent rectangila
  5. PNMbis Cumpea aequalia L NV. Cediildem rectangulis L NV aequalia lune quadea-
  6. ca NR, quodNR lincrectae ad diamerros circulares LV. Igitur N R quadeaca x
  7. qualra lunt rectangulis PN M bis sumpris. Quare rerectangulum PNMad PNNI.
  8. hoc est VE LInCa NMTad NTM, hoc est vE N B ad N B, ita est quadracuM N R ad N R
  9. quadtarum. quare BR P, sectio parabola est. Ouod erar demonstrandum.
  10. ROPOSILIO CLXKXI
  11. IE ABC conoides conolD DE F, alymprorico inclulum, Fact a de
  12. indelectione D F. F per comistunem axem coni d conoideos, hat al-
  13. cera CtIl atimpiore Gulde C. L a quidictans lednormalis ad planum
  14. Diectas palarab ete palaltelas seu saudere communilacerere ct0.
  15. Demonstratio.
  16. laE SECTIO LM N paralIela BaH exhIBCHS I
  17. conoe conoide circulos LM N, OP O _
  18. producens in plano GFTL communem inter-
  19. lectionem R MI, que, quia est communis seccio
  20. duorum planorum LMN, GFII rectoruM
  21. plano DEF, eric r9. vndecimi recta plano
  22. D F F, ac proinde defin. 3. vndeciminormalis
  23. ad lineam N OOL, reccansula igituIF NRL
  24. ORO RGUanEUE quadEATIS RMI, RP. pari aF-
  25. Sumento reccansula FHID, CH A xquantur
  26. quadeatis HII, HIR. Ouare cum reccangula
  27. NOL. FCD sinc differencie brectangulorum
  28. NRL, ORO AE FHID, CHIA, crunc quo-
  29. que cadem rectangula NOL, FCD, differen-
  30. FIX QUAdEATOTUM RMI, R P d HTI, TIR. AEqui
  31. rectangula NOL, FCD exegualia sunc. Igi-
  32. cur excectus quo quadracum R M superatqua
  33. dracum R P aequalis es excessui quo HII qua
  34. dracum excedie FTK quadrarum. Punc igieur
  35. per ca qux lib. de parabola diximus s parabolx
  36. BIIR e OHII parallela, saudentes eodem
  37. lacere recro ad communem azem. Ouod Fuic
  38. demonstrandum.
  39. EONOTDES HYPERBOLLCVH.
  40. comtingenti, hoc eA BZ, hoc estrectis 19, erirgue quadeacum P MI xquale qua-
  41. ut cum qua icaris NM, _rua cum rectangulis P NM bis sumpeis. led criam qua
  42. D E F exhibens parabolas BFTK, GIII.
  43. PROPOSITIO CLXXZI
  44. I conus rectus asymproricus AB C lectus plano per arem exhibens
  45. criangulum ABC, de Pau O PTaHADLF, CHIL hormalilet
  46. comnuca dd planum se qualu communes incersectiones FD, II6
  47. cumcriansulo AbC agaae laleliDe.
  48. Dicopalabolata DLFMPlGEC
  49. ab alymproco BC.
  50. mor

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1082. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1139?run=74