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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 84

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: 0.85.

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

The machine reads it as

  1. 84
  2. LLk1.ddCeC0
  3. de DH de F F eAt vE D alt L; C150IL a C, veD ad F. Fodem discurlu eric P ad
  4. C. Me L al 1. Macaccemoatum.
  5. ve AB ad BC, sC DF ad F F. acqui rectangulum AB ad BC, est vE A ad C.
  6. ROPOSITIOL
  7. Lrectangula AB, BO, CB, GH, _c. rectangulis DE, F. F, F L, IK
  8. Dico veram que lacerum letiem A, B, C, G, HI; _D, E, F, L, KL, E pO-
  9. nantur esse continuae proportionales, esse quoque continuas ciuldem ra
  10. C E
  11. Demonstratio.
  12. DEF PFACCHEMEM CNA ad C, VE D ad F: quia aurem eam A, B, C, quam D, F, SF,
  13. Llune concinux proportionales ex datis, eric tam ratio A ad C, (id cst D ad F,)
  14. rationis A ad B duplicaca; quam racio D ad E (id eA A ad C) duplicaca AIE ra-
  15. cionis D ad P. Duare re A ad B, Sc D ad E; _ B ad C, ve F 2d F, exc. Cuncigi.
  16. Eur A, B, C, C FBB _ D, L F, I, K concinux cuuldem proporrionis. Ouod erat de-
  17. monstrandUm.
  18. P R O P OSIFIO LI.
  19. prima A ad securdam B, eamdem habeat rationem; quam cerria
  20. Dico eria rectans und ex hilce Facta, ese in conrinuata proportionei
  21. Demonstratio.
  22. Diireula linguns ataITA HHE:
  23. rionis.
  24. DC ad quatcat.
  25. nembe cccatigua AB, BC e CD.
  26. danigulum AB, C ad rectangulum BC; re A ad a C, sed eriam rectangu.
  27. SC; 2d CD Tob eandemracionem) estve B ad D. cumigitur Sc ratiO A
  28. ad C eadem cum racione B ad D; cam quoque rationem habec rectangulum A B,
  29. ad BC, quam habet BC 3d CD rectangulum: sune igitur in continuata ratione,
  30. dutac demontel attcc.
  31. LCOIOSITIC
  32. ma A ad securtca eandem habeat Laclonem, qualtunta
  33. quarcam , Hacque ve prima A ad cercIam C, ica cerCIa C ad
  34. m F:
  35. Bicorectangula exisesConuta, et
  36. le in concinuaca racione; nemve rectangula
  37. AB, BC, CID, DF.
  38. Demonstratio.
  39. Ectaisca HB dd BC seltansulum, habee
  40. camracionem, quam A ad C; ledracio Aad C.
  41. cadem

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 84. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0141?run=74