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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 64

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: 0.77.

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

The machine reads it as

  1. . t . 11
  2. 64
  3. L LKL 5SIOHES
  4. AB, BC, de F, erir linea F. aequalis C E: deinde quia COnFINUX (UNE AB, AC, AD
  5. AII. HMInS. B Aac B C xqualis CFD, CrunE quoque in continua analogia C G, DC, D A. p0.
  6. isicur L aequalis C C: vr L L. GuC HUNC XQUDL CS, VEpOEC Ip A C C L C5.
  7. Duod cratpropolicum demonsteare.
  8. i
  9. 513
  10. BAIHEAFAUECM CONFIHUX A D, DC _E F; CrUNE IgIEUE CONFINUX F, DC, AD: est
  11. Lema.
  12. il et coctaris3: 12.
  13. B cob 113Z 3ea
  14. F.d D es CFX m F
  15. 11. ∞t12C1. 3
  16. Demonstriov
  17. E 5
  18. 1
  19. cunda ad CFi cerciam, ica in ordine alcero L. prima, eAt ad B A sccundam, ergo ex
  20. b23. Ouin. Zqu0 in proporcione perturbata, veC F, ad C F, ita Z. b ad D A: acqui ex hypochesi
  21. CHat C A CIdC ae D H, VE CF ad G+ F, CrgOVE CA ad D A, SC L (maior vel mi-
  22. Ld. Duinm 1 Guat C A er a D A, quod est cab surdum: non olt ixicur C. A ad B A, in alia
  23. proxortione, quam P. F ad C F.
  24. PR, OPOSIFIO:121
  25. cionali AC, aqualis sic producta A G. -. l vorrog
  26. DicOFC, FB, F C in concinuara esse proporrionE.
  27. Aei sne duo ordines erium quancitatum C A, B A, D A _E C F, PF, GF; e
  28. sEDE CA ad D A, AC CF ad C F, sEque icem re B A ad W A, SICC F ad FF.
  29. Dico eriam esse C A ad B A, vE P Fssest ad ( F. P sNi
  30. de clire
  31. EP enimnon est C A ad, B A, VE F F ad, C: L, eric erso aliqua maior vel minor
  32. quam C A. nempe Z ad B A, VE B F, est ad CiTis quoniam ergo ve CF prima ac
  33. EF secundam ica in Mctooe B sebuda cst ad D A cercIam, L V L F 1C
  34. ncprovortionales AB, AC, AB, d linca BD COMPlITa ex vEra
  35. que nterea De, e Mlaturbitariam in F, ac medix PrOPOF-
  36. Demonstrati
  37. Vn enim GC bilecta sic in A, e BD in F, eric C C ad AC, vE B alLD.
  38. PracerCa cum AB, A C, AD Ponantur concinua, C Pet PaSB C aC
  39. C. D, VE AB ad A C, id est A C; e componendo ve B C act LL, Ia BD al CD: Sca
  40. ante ostenderamus esse ve C Ci ad A ∞ ita BD ad FD. Ouare per lemmapeacl
  41. dens etiam eric ve C C ad B C; ita CD ad BF, hoc est F D; e diuidendo C B
  42. ad BeCaLDHoCCHFB llaque mucclenao, petmulanao. d componen
  43. docricve CL ad BF, ica BLad C L, er30 Ct hL, Ct lunt proportionules. 1dd
  44. erac demonstrandum.
  45. Corollarium.
  46. X hac provolicione hoc Theorema de ducimus. Sinceres proporcionales AB, BC.
  47. CD, diuilaque sc AB biFariam in F. DICOAE, F C _E COMPONICAM CX AF 8
  48. Lineis BC. C D bissumpeis, esse proportionales, _C sI A R, E C, _ COIPOSIEA CK AL
  49. de DC, CD lineis bis sumpris, sinc continux; dico AB, BC, CD esse in continua
  50. F
  51. 2d 16B. do
  52. Demon-
  53. A s i u 1 1i M 1 ue t a e pou a m ma

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 64. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0121?run=74