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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 259

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: 0.86.

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

The machine reads it as

  1. EL L FPSIS
  2. e R O P OSITIO XXIX.
  3. L. Culus aamecer B C, centrum O, concingat AD Occurrens
  4. Lsdiamerro in D, ductaque ex puncto A ordinarim AOF, e iunct a
  5. AC, per B ponaturrecta PBG Parallela rectae AC.
  6. Dico FB, BG aquales esse.
  7. Demonstratio.
  8. G occurrac ellipsi in FI, iungancurque HO, AO
  9. quae erunc in directum. Tum AC bilectâ in I, du-
  10. Catur per I diameter IOP BCCUTTeNS rectX AR in
  11. L, X iungantur puneta L. C, per rectam L C OcCurren
  12. cem ellipliin R, ec recta FTIin M, cCdR verOFTO in P.
  13. Ouoniam AC ex conttructione ordinarim posica
  14. cA ad diamerrum II, rectaque per A e C dupla
  15. occurrune diamerro in eodem puncto L, erit b L K pa
  16. rallela AC. EAverO d B FF Parallela ipS A C ex hy-
  17. Pochel: et Cemidiamerei OB, OTI IcCanE AF, C K in
  18. 2 e P. ergo OP equidistace recte BHI, tres isieve
  19. AC, OP, FR Lincpar allela. Ouare cum ex hyporhesi
  20. A F. bilecta lic in C, eric ex CR bilecta in P, ac proin-
  21. de ordinatim polica ail diamecrum A FT. Leaqued CK ∞-
  22. quidictaccangenci A D. est aucem e FM ex hypocheM
  23. Parallelaad AC, ergoc dim aequalis eAt AC, (cd F cF-
  24. iam BHI aequalis eA AC. ISituE FM BH aquales sunc. quare COMMI. dempea
  25. BM aequaneur F B. HM. Acqui eciam s C, B, HM Xquales CunC. icaquC F B, C B B17 huin.
  26. aquales lunc. Duoderat demonstrandum.
  27. PROPOSITIO XXX
  28. Elipsim ABC cuius diameteF B C continsac in A recta AD Conue-
  29. niens cum diamerro in D: ductaque ex A sic linea A F ordinarim ad
  30. diameerum BD.
  31. Dicorectam DC in B e F diuitam elle exrrema de media ratione pro-
  32. porrionali, hoc cst, veC. D cA ad BD, (iCC HI CA ad HIB: ee li dinila Fuc:
  33. ririn B ec I exerema ex mcdia rarione proportionali agacurque per F. Or-
  34. dinarim linea AF ad B C: dicojunctam AD, sectionem contingere.
  35. Demonstratio.
  36. Vrcta AC, agacur per B linca C H parallela roctae A C
  37. Occurrens A F lineae in PI e A D cangenei in C. Ouo-
  38. ntiam RC, B HT lincx aequidistane, eric ve A C ad BII, (iC
  39. CF ad R B: sedVE A C aA B FI, SC A C est ad ∞B, (quia
  40. GB BH TunCh X qualeS) isieurve A C ad GB, sICC F
  41. esad BF: CA aUECM DE AC ad GB, sC C D ad DB
  42. (quia C B, A C aequidittane) igitur ve C P ad D B, sICC P
  43. ad F. B. Quoderac primum lic iam ve C D ad BD; Sic
  44. CTT ad PVB, S per F ordinaum agaeur AP: dico
  45. surctam AD sectionem comcingere in A. TI enim AD
  46. tron tanoit, ponarur pera eangens quae BD diamerro
  47. occurrarin K, cricigieur ve CH 2d F. B, SCCK adRB;
  48. Sed osve CF ad F B, AC CD ad D B, igituE VE CR ad
  49. RB, Hc C. D ad D B, e lliuidendo re C B ad B R, siC CB
  50. ad B D, quod fieri non porest, cum punctum K Cupra vel
  51. intra D cadac. ixicur AK non est cangensnec quauis alia praecet AD. OuodFuit
  52. Bi5. lnitis.
  53. C28. biviuio
  54. d1.
  55. ins
  56. 13. Buins
  57. 19.
  58. R
  59. demonstrandum.
  60. ba
  61. Corol

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 259. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0316?run=74