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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 469

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: 0.83.

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

The machine reads it as

  1. 80
  2. BC
  3. BC
  4. AB;
  5. e
  6. 1210
  7. 212.
  8. m
  9. um
  10. 31-
  11. a.
  12. du.
  13. um
  14. A.
  15. P. A R A B, O L A
  16. ad FT AT componaciir exracione eriangulu C AG
  17. ad G AF, XE Cx G AF aaHTAI, PaECCC AC trian-
  18. rarione erianguli, C A C ad criarbulum AAF,
  19. e ex ratione OFI ad TB, quadrilarerum, (id ell ex
  20. HTATcriangulum, cum L A, FT As B A proporrionaleS HNE) CNIE F. C3 quadrilacerun
  21. ad quadrilacerum B IVE C AC erlangulum ad criangulum (L AI; igitur _ P. C qua-
  22. deilaterum ad BY quadrilacerum rationem habec criplicacam A C. 2d A V. b
  23. PR O PO SITTOICOIVII
  24. BC pataDolae diaeFEF AD. Policaque aa LITAI OTALMACIII
  25. CD, descrilatur per N e C, patabola AE C, quam in R concin-
  26. sac AD, ponanculque ordinacim quauis FB, II C sccances A F. C Para
  27. DICO AGUTAM CONCALAI A F P. A, ad fIGUTAM CONCAUAM A FTIA, du-
  28. plicacam haceae lacionem parabole B AF ad parabolam C A F.
  29. Demonstratio.
  30. EnGANEUE AF, A P. FIgura mixcilinCA AFP. A
  31. ad siguram AHII A eam haber rationem quam
  32. AF. L criangulum. ad eriangulum AIFI. rarioaU-
  33. cemtrianguli AE F ad criangulum AIFICOmPO-
  34. SIta CCCK ratione AF 2d AHI, hoc est duplicata
  35. rations F B ad FLG, e ex ratione F F ad TEI
  36. hroc est duplicataracionis A F ad AFI, id est qua-
  37. druplicata racionis FB adTIG; ISITUE AFP A
  38. sigucd ad sguram A HL L A sexcuplicacam habet rarionem linex F B ad HO. sed x ,10 it
  39. B AF b Parabola ad G AFI parabolam criplicatam habec rarionem FB lincae ad iu
  40. lineam FTC: IBICUE RGUFA A F F A ad Aguram AHITA; duplicacam habec t2-
  41. rionem parabolae B AF ad parabolam Cr AFI. Ouod erat demonstrandum.
  42. Corollarium.
  43. lnc parer concanuin LL R, ad concauum A FTI, etiplicacam habere rarionem
  44. LF ad AFT; Nam A F. F criangulum ad criangulum AIEI rarionem tiabet
  45. COmPOIITaM Ex AF ad ATI, ∞ P FadIF, id est ex duplicara rarionis AF ad AII.
  46. PROPOSITIO COZEVIII.
  47. IEdem posiris sinE AFI, A F, AD proporrionales, iune L QuC AC.
  48. Dicomistilineum IP 2d F O mistilineum rationem habere sextii-
  49. plicaram, cuius rario craperii R F ad L. D, craperium est quadruplicara.
  50. se crianguli C AF ac
  51. In-
  52. erianoulum ad criarigulu FT A Fin duplicaca cacio-
  53. nC F G ad FIF isicur cum racio crianguli C A C
  54. sulum esse ad criangulum EY AT in criplECaC2 F2
  55. tione F C ad FII: ouia vero racio quadrilace
  56. ei F G 2d BIquadrilaterum, componieur ex
  57. Facione F C ad C HI quadrilaterum; (id cA Cx
  58. exaranaii. la
  59. bolam in L. l I.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 469. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0526?run=74