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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 130

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: 0.89.

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

The machine reads it as

  1. 430
  2. 05, 04,03, exancecedences arque recta02 superat rectam
  3. FPCxCCNUI AO, _ recta O5 suPerat rectam FH excessu OF,
  4. ee rectaOZ superat rectam LSexcelu CO;igitur rectae O2
  5. O5OZ. superant rectas FPr FN FSCKCCNU AO OF
  6. DC: recta quoque FX superat rectam O3 exceNuOD, de
  7. recta FV superac rectam O4 exceHu OB; d id coFYL. FV lu
  8. perac (3, F.O4 exceNu OD.OB; Cumque in Perie quancica-
  9. cum C2 f. O5 .OB FiP F. N FS, FYuf. FV, 03, F. O4, sum
  10. ina extremorum 02.65+F. OZ 1f. 03,7.04 sic aequalis sum-
  11. mae mediorum FPFcFNofLhFY if LV; eric differencia in-
  12. terprimam ee le cundam nempeOA,.DF.F. DC aequalis dif-
  13. terencia inter cerriam e quarram nimirum OB of. OD, quod
  14. demonttrandum crat.
  15. P RO P. 70. Y H EO R F M A.
  16. Si circulus parabolam in pluribus punctis secuerit, e quibus in axem
  17. ex viraque parte rectae perpendiculares demittantur; erit ea ab
  18. ona parte axis equalis illis ab altera parte: quod si ab utraque
  19. parte in duobus panctisillam secet; erunt similiter duae ab vna
  20. parce simul aequales duabus ab altera parre simul.
  21. Teparabola B ABC C quam secer circulus in punctisP,
  22. A, B, C3 quorum nullum cA paraBOlXVerTCK. a pun-
  23. AisP, A, B, C. demictuntur in axem eidem ordinarim appli
  24. CAFK AIE, BX, MC, PH: dico ordinacim applicacas exrna
  25. parte axis nempe AII, PH, aequales esse ordinacim applica.
  26. eis ex altera parce axisnimirum rectis BX, CM. Producan-
  27. currectae PA, BC, donec concurrant in D; erirque rectansu-
  28. lum BDC aequale rectangulo ADP, ee igitur rectae parabO.
  29. Lum PABC C cangenteSparallela rectISDC, DP, aequales
  30. crunt, quae isitur se mutuoincerlecene in parabolx axc, ta-
  31. ciences cum eidem ordinacim opplicaristriangula isoscella;
  32. _ IgItUFDP, DC
  33. nrubolilis parallelae Faciune cum eisdem ordi-
  34. x hinc si in segmentis, AP et BC discribantur trian-
  35. gula maxima, ATB, BVC, recta YV bisecabitur al
  36. Aatim
  37. exe parabolae. inquiratur in pliarum curvarum quas
  38. circulus in pluribus punctis secat, respondentes proprietates

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 130. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0214?run=74