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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 552

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. L LL
  2. V
  3. Sectionum oppositarum ac coniuratarum affectiones consulerat.
  4. PRO POSITIO XXXII.
  5. EctiOnES OpPOLIEX COMMIULES HaBEHEaCyMPEOTOS.
  6. Demonstratio.
  7. Inc ABC hyperbolX asyMPEOTI DL, DF:
  8. policoque axe DB, ducancur concingenri
  9. per B, duaae, aequidictances GI, AR: prO-
  10. ductis deinde lineis F. D, FD, BD, AaNEDL, DV.
  11. DT aqualesipsiS DB, DI, DK; ponancurque
  12. PeF L, V, T linCA ML, NP, OS parallele li-
  13. neis EB, IO, TIK; quoniam igicur aqualeslime
  14. linex DE, DB, _ anguli D L M, :DB F. ad hxem
  15. recti; criangula D L. M, DBP. adcoque e lacera
  16. TM, BF xqualia Cunc: Similicer octenduneur la-
  17. cera VN, T9 aequalia laceribus at TIK: igicuE
  18. Ehanc L. M quadracox qualia rectangula NOP.
  19. DRS; puncta L, O. RD ad lxperbolam Cunc.
  20. CUIUS 2CyMPEOTI DMI, DP: dE NOP, ORS
  21. rectangulaaqualia lunc rectangulis a GB, II AX
  22. quia F B, LM quadraca xquancur; xqualia au-
  23. cem lunc quadraca NV, OT quadracis an AIKi
  24. reliqua igicur quadrata OV, RT xqualia lune
  25. celiquiscir, AR; sunc aucem per constructionem
  26. distantia D L, DV, D Y aequales dictanciis DB,
  27. DBDK, CoppolicE igitur sectiones lunE L. OR,
  28. BC A; que communibus faudene alymproris. Ouod crat demonstrandum.
  29. PROPOSITIO XXZIII.
  30. rEctiones oppolx lacera recta habent aqualia, quae communi infer.
  31. muncdiametro.
  32. Demonstratio.
  33. i Adem allumatur fgura; Scque BZ lacus rectum hyperbole AB C, e per Z _
  34. D Centrum, recta AUCAEUE, OCCUTEeNS P MI linex in Z: PaceE L X xequari ZB
  35. (cum DB, D E linEx xqualeS SInC, _ anguli DLM, DB F xgualeS, Ob L M, BF
  36. parallelas.) dico aurem L. X lacus recrum esse hyperbole ROT: recta Z Z pro.
  37. ducta, OcCurrAE NV, ar lineis in Z e c: quoniam igirur Z B lacus rectum est, e
  38. ExH hu. C Y ordinarim posica ad diamerrum D B, proporrionales (ine d linex BL, (7 1, las est
  39. durem BI aequalis L V, per hypochelim, e ex demonstracione pexcedenci, rectae
  40. C, 1co aequales VO; VY: recte quoque LV, VO, V Y proxortionales lunt: quare
  41. La lalutc Tecum clthyperbolE I. OR. Ccctiones igicur oppolitc, et c. Ouod erat
  42. demonstrandum.
  43. lina
  44. positarum
  45. b11. buius.
  46. bid.
  47. P R O
  48. nee e o oa

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 552. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0609?run=74