Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 114

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. 14o
  2. x14
  3. naturX, ve (ducta recta FC tansence currum HIF. D in quoli
  4. bec puncto F _ ducris parallelis FF, BC) recta F BGIF aequa
  5. lis e parallela rectae C F: manifeltum cA ex huius7 rectam
  6. CF seu BF eNe criplam rectae L:O, cumque hoc semper AaF,
  7. evidens es Aguram IIBDE CNecriplam AgureHIODE, acque
  8. ex huIUS LZ AOUEBHIBDF. CA aequalis ApurA HIEDR; ac pro-
  9. inde EOura HIEDK eAad Aguram FIOD E in racione 3 ad F,
  10. dividic ergo curra HIFD quadrancem circuliin rarione 3 ac
  11. 23 Quod demonttrare oporcuit.
  12. Ouod si rario OIad FI essee quincuplicata racionis CI ad
  13. OI curra H F D quadrancem circuli dinideree in ratione 5
  14. ad 3; li oucem sepeuplicaca inratione 7 ad5; de sic in gene-
  15. res liracio CIad ElEc mulciplicaea rationis Cl ad Olinran
  16. rione cuiuscunque numeriimparis ad vnitarEM D CUEYAHEL
  17. diridet quadranrem circuli in ratione ciusdemnumeri im.
  18. Paris ad numerum imporem proximeminorem, quae omnia
  19. demonstrantur sicur hoc cheorema. Fodem prorlusmodo
  20. demonstracurno Colum illa Vallibi incerpolicio qua spacium
  21. cissoidale mensurat inlibro de creloide. sed eciam omnes
  22. Forcalsis alix quae imaginari poctune, suppolica primxe inter-
  23. polcatisurae mensura. Quod sratio C l ad E l lic mulcipli.
  24. cacaracionis CTadO linracione numeri cuinicunque paris
  25. ad rnicatem Cacile daretur Rgurae R IIF. D quadracura opc
  26. huius 54, uc docet Vallihus in lua Arichmecica infinicorum;
  27. ee ideo innorescie in recta DK cenerum aequilibrii Agura
  28. DEHIA opChuius 37. Ilinc eriam eridens eltDFF eandem
  29. semperhabere racionem ad D E.O quam habet DP HIH ad
  30. LiL(O, quod summopere nocandum nam (praecer multa
  31. ala pulcherrim a proBlemara) S secetur conois parabolica
  32. Plano adarem porallelo, ex data ciuldem ab axc distantiad
  33. dabicur huius ope ucrumliber conoidislesmentum.
  34. e
  35. nonias
  36. .c.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 114. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0198?run=74