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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 602

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: 0.79.

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

The machine reads it as

  1. ATY P ER BOL A.
  2. PROEOSIFIO CXZZVI
  3. Acer duas dacas quoclibet medias proporrionals dele Coce.
  4. Constructio es demonstratio.
  5. TIN, IO, RP, PO esse QuattOr que requiruneur. Osendimus
  6. cructione, rario F C ad MI F. quincapcala estracionis F. C ad FTN. isiEuEHIN, IO.
  7. PK. L. Q Cunc quari Ca et asitata L C, M P. Ouod cracpraestandum.
  8. AAtOSTEIOBALXVIII
  9. Tirculo AB Crectangulu e DC Dinscribatur a sumprilque rectis
  10. AB, B C inalzmprocos, pet M eoldem describatur hyperbola
  11. F. D occurrens circuloHenuo in F, ex quo demitrantur rectae F. IL, FF
  12. no. hr
  13. BI29. BM
  14. alsumpea hyperbola cuius atympeot C, C. E ponacur C F aequalis A et xquidi
  15. sans CD; ee hac ve B ad A, ica C C 2d C P; _ crigatur P M aequidistansFO
  16. que parces aequales in FI, I, K, L. _ ACMIETANEUE IIN, IO, KP, L. 9 Parallela
  17. asymproco: dico
  18. ergo cum FC Mquancicas concana, ala lic in quinque parces aquales cciam quan-
  19. cITAS E GFMI per parallelaS FTN, TO, RL, TO in cocidem parces aequales, divila
  20. eies b quancicas F CFF. M continet quanaem F CENTFI, hoc est quinguies ex con-
  21. Ine A, B dux dacXe: oporceat inter illas quaruor medias proportionales assignares
  22. e ductis C F. CM: divila ponacur quantitas FCM, concaux lyperbola, in quin-
  23. quancicates LCFI, IICL, eec. 2 xequales ese quanciracibus FONTI, NFIIO, dec
  24. eric: ereocum rario LC ad MF, toriesmulciplicer rationem F C ad FTN, quo-
  25. huius.
  26. d EX 73:
  27. 161s.
  28. CCorot. 1).
  29. alymprocis aguldictances.
  30. Dicobe, aldo CeeMa B, BC.
  31. Lobtbnstatet
  32. Depuncta F e D agacur rect
  33. ITLC Ponacurque BB: erir
  34. igicur IF, cae qualis Id C: , H K
  35. aqualis L C ALB, LG
  36. triangula HIRB, D C, Cd aequalia
  37. sincincer (e, de similia; quia vero
  38. circulo AB C inleriprum cA re.
  39. ctangulum AD C, Cndemverique
  40. Ex ila-
  41. heneis.
  42. tEx cto.
  43. mense
  44. cerit diameter; quare angulus BE. D, adeoque _ angulus FIF B rectus est: quare
  45. eum FK aquidister AD laceri rect ansH AD CD, recta FK normalis cA ad
  46. HIB: Vndeeres sunt in concinua analogia LL IB, K F, K B: scd HI K R quAEUE AB, &
  47. RF aqualis est B Fs vei _ R B ipsi L L, iEIC AB, BF, FF proporcionales, sune
  48. deinde cum rectansvlo AP C. B a ute ulum R F, F; NE A B ad B P, iea est
  49. iF ad
  50. a e a pat u te u t ee t u te e t te ta e ta et tet t et at t e t a ti ite d e e te te ut et it t tit a t t e ste dib

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 602. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0659?run=74