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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 22

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: 0.84.

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

The machine reads it as

  1. 3c36223+f 3c3b230--C, 23023 8 quancirates reiiciendo in quibus
  2. reperituro vel ejus pocestas, reCtanE = 3b2c3 a Z2 - 3b353Z2
  3. 2C3ab23 = 3c3b2233 ee ubique defectus addendo ee omnie
  4. dividendo per c b22; aequacio cA 3barF 3b2= 2a217. 3bZ, ec
  5. idc02 = 3ba F 3b nempe recta FL, qua invenienda Crat,
  6. a2 1 3b
  7. tui
  8. 115
  9. D. PROBLEMA
  10. TE CUEDA A DTM CnInSaxIS AL, Reque alIA CUIrUA AFK
  11. D eius naEuEX, uC ductr recta qua cunque HI IK, re-
  12. Ax AL. perpendicularis curra AISIE ad rectam IK uF D ad O.
  13. oporcet ducere rectum eangentem curvam A F IO in pun-
  14. etoKE: ducatur recta BIEaNSeNS CUrraM AD IM in punctor
  15. Chocenim heriposse suoponimus) lirque rects lB aequalis
  16. CUIrVa A I_ dUCAEUE ReCt+BR, quam dico EAHOere CUrVIm
  17. A F K O in pUNCtOK: S eam nON FanSAE, Cadat inera, CEque
  18. punctum C inera curram versus vercicem, e dueaeur rectx
  19. AEII PATAHLeMA G7F E D C. manifectum CHt LIE eNC ad F. C WE
  20. IB ad E B, e per convertionem rationis II eAt ad differen-
  21. tIaM INEeF LK _E F C UEIB ad LE eC perMUTANdO UE TR ad TB
  22. (cuTa curram, hoc est uc Jad P, ita differeneia inter IR et L Cx
  23. 2d FI, aEque uE Qad P ITAD F ad D A currI; _ id eO uF IR ad
  24. TA curuLin icL D FadD A curram a permutandO uE TK 3d
  25. DE itATA curuA Ad D A curvam, e per convertionem F2-
  26. eionis, uE TK ad diferCNEIAM iNteE TK _ D L iea CUEVA
  27. Ia seu recta IB ad curram IB; ac differentia inTer IR _ F C
  28. maior es differentia incer TK X I L, quoniam punctum
  29. supponitur cadere inera curram; ee proinde IK minorem
  30. habet rationem ad excestum supra tC quam ad excelsum
  31. supra DF; S ideo IB eA ad IE in minore racione quam ad DI
  32. estisitur TE maior quam DI, quod eA ablurdum, non eroo
  33. CAdIEFECTA BK InETa CurvaM A FK O versus verricem: CadaE
  34. inera (sitieri porest) versus balem nempe producta in pun-
  35. EtC

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 22. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0106?run=74