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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 275

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: 0.88.

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

The machine reads it as

  1. E L L IPS+8
  2. eR OPOSIFIOLIR
  3. Adem manence Egura propolicum sic ellipsi heragonum regulare
  4. inlcribere.
  5. Constructio e demonstracto.
  6. Vmancur dux quaeuis dinmetri coniueata AB, CD, duitaque ED quadrita-
  7. riam in F e G7, AGAHEUF Per F _ C lincae FTF, RL aquidistances AB: du-
  8. CaNEUTGUC DR, RFI, ETC, CI, IL, LD: Pacec per praecedencem: rectas illas se
  9. smenca auterre aqualia, adeoque figuram hexagonam DR, ITC, TT. D, eAcregu.
  10. larem; igicur ellipsi hexasonum inscriplimusregulare. Ouodcrac taciendum.
  11. PR OP OSITIO LX.
  12. ECenE AB C ellipum duxe quanis linee A C, D E auFerentes (esMen-
  13. ea equalia, dueaneurque adillarum extremirates Pemidiameeri P A,
  14. iC, FD, FF
  15. DicOlectOTES AFC, DFF, este equales, et Si Pectores fyerinE e qua
  16. les, dico legmenta esse aequalia.
  17. Demonstratio
  18. Tuitis A C, D F bitariam in C _ FY aGanEuF PeF
  19. G e II, diamerri FB, F P iungancurquo AB, BC.
  20. DP, ET. quoniam (CDMONES AC, D F ex Bypoches
  21. sunexqualia, ergo rectae, qux puncta C _ F; A _ D
  22. iungerene, Forencaparallelae. ergo bcriangulasesmen-
  23. eis AC, D P inCoripeorum maxima, sunc aqualia, sed
  24. ABC, DTF, csunt inscripeorum maxima erunc igi-
  25. cur rriangula ABC, D TF, aequalia: quia aurem F B,
  26. EI diamerri in G et FT, lunc propoecionalicer ddiui-
  27. Ex:isicur ve ABC triangulum est ad criangulu AF C.
  28. Ac DFF. criangulum est ad crianoulum DEF, dE Per
  29. murando ve AB C criangulum est ad criansulu D IF
  30. sIC AF C criangulum est ad criangulum D F F. Cum
  31. isicurtriangula ABC, D TF xqualia Cine, criam erian-
  32. sula AFC, DF P aqualia cxunc. Ouare addieis equa-
  33. libussesmentis AC s D F; erune (CCtOTESF AC, FDF
  34. aequales.
  35. Sinc iam lectoFes A F C, D F F aequales, iunsatiturque AC, D F. Dico AB C.
  36. DIF segmenca quoque eNC aqualia; sin vero: SC alcerverum (puca) DTF minus
  37. alceros duenturquec ex D linea D R. segmentm auferens xequale segmenco ABC:
  38. e iunsantur ti, H Ononiam igiturscomentut D IK equale CA PeginenEO A I C
  39. TCCtOT DFR aegualis est sectori AFC, id est sectori DH F. quod hcrinon pacest.
  40. (cxtchea cleo AC, L F non plaequalla sunt. le daequalia. Duo d exac demonstran dut
  41. Corollarium.
  42. 52. hutus.
  43. Bubes
  44. quales, corumque subceme er de Il une btariam. Quod diamecriper du
  45. HI ductxe, ijldem pirtes proporcionalicer dividaneurs
  46. SCcoMO eccoreS O HFC. DF F terine aquales, lubcendancurque iplorum
  47. ansulirectis AC, D F: quoderiansula AFC; D F F. sncequalia.
  48. Fercio hinc cale problema Colurur: daco AF B sECtOTE quOCUnQUE, OpOEtCE Cx F.
  49. MI 2
  50. duas
  51. EX hac _ Cx sz. huius se quicL PEILIO, A A F C, D F L Leclaes gutuis tuerine a-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 275. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0332?run=74