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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 61

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: 0.75.

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

The machine reads it as

  1. 10.
  2. 2M.
  3. est
  4. AC
  5. uX
  6. euE
  7. at
  8. se
  9. 4
  10. C
  11. E.
  12. m
  13. u
  14. N.
  15. 153
  16. 25,
  17. 1m
  18. n-
  19. 12.
  20. N.
  21. aC
  22. er.
  23. GF OM E TRIC A.
  24. Alict.
  25. FOniam D A, C A, B A PONUNEuIF PEOPOritES, C1GO Pet Pam LiilS DC
  26. id CB eAvE C A ad B A: guare (cum aequales sinE I F, B C ex hypOcheSI) vE
  27. A. Ouoderac demonstrandum.
  28. CD ad F. D, A0 C A ad B A, ergo diuidendo CP ad F. D, hoc eAt, CB, VeC Bad
  29. Corollarium.
  30. Vod Epolcis continue proporcionalibus AB, AC, AD, SUMREUE C F, X qu2
  31. isminori differentix B C, CrunE AB, BC, L. D I continua analogia: quod
  32. demonatrabicur proctus oe u propotico la Bo.
  33. R OP OS1Y
  34. Inecres magnicudines AB, A C, AD, in continua analogIa; pOnanEUE
  35. ducem maxima erium A D, _ maior differentia C D, MMI d Certa
  36. quaepiam F. D, Concinu piepONaleS.
  37. DicoBC, CF, aequales esselincas.
  38. NMETES PONANCUECONTINUIX AB, AC, AD, crit V C ad = CB, VED Aad C A: LL. Hau
  39. Lgnarecan A Feclanollo DABC, aequale elt. Similicee cum B16. Sevri
  40. PONABEHE CONCINUK AD, CD, FD, est AC ad CF, CVE AD ad CD: ergo rectan- cu Huins.
  41. gulum idem AC D aquaEuE CtIam rectangulO AD C F. rectangula eron ADBC,
  42. AD, C. P, incer LE XQUanCUT; vndC BC., d C. P. xqualeS (UME. quod erac demon stran du. d1. Senti.
  43. Aliter.
  44. Vandoquidem BONANEIE CONEInUX A B, A C, AD, CrGOPCL PMMAII HIIUS VE
  45. LDA ad C A, SC DC ad C B. TTerum QUONIAM PONUNEuE COnCInUX AV, CV
  46. F.D; per Pcam huiusrE AD ad CD, SC AC. ad C F; _ PetMcaHaO H AB
  47. ad AC,lcCD adC. Sear ADda AC, HC onehdi eAC CD ad BC, ClBOCD
  48. cAtadC E, ve C D est ad BC. xqualesisitur lune BC, C F. quod crac demonstran-
  49. dum.
  50. Corollarium.
  51. IIa plane modo, siposcis continuis AB, AC, A D, etiam A D erium maxima,
  52. DicoBC, F. D aequales eHc. Demonttracio eadem elt que proposicionis decimx.
  53. CD maior differentta, d lerca qua Plam C L therine concinua proporrionales.
  54. OOSIIIOZI
  55. IS (IECL
  56. DICOFD, CD, AD in continua quoque analogia essc.
  57. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 61. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0118?run=74