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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 16

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. etlis mehodus invenientus omnium scrierior
  2. onuers ectum terminationes.
  3. PROP. VI. THIEOREMATA.
  4. Dico differentiam intertrianeulum ABP ex trapeZium ABKF
  5. a
  6. maiorem esse duplo differentiae interiravexium
  7. ABIP esx polyeonum ABDLP.
  8. lerriangusum ABP A, craperium ABFP, B; Trapexium
  9. ABIP, C, ee POIyGONUM ABDLP, D: quoniam A
  10. eA ad C vEC ad B, 1gicur vr differencia iurer A et C. ac
  11. Aita differencia incer C et B dd C; e permutando, vedisse-
  12. rencia incer A ee C. ad d.Nerenciam incer C de Bira A ad C:
  13. e componendo, reditterentin inter A ee C de differentia in-
  14. ter C de B Cimu), hoc est difterencia incer A et B, ad differen.
  15. Eia incer C _ B, i. a A C ad C sled ve A F. C ad C 11d2C
  16. adD. de ideo differencia incex A ec B est ad difterenciam in-
  17. ter C e Bve Z C ad D. quoniam A C CAt ad C. VE ZC, adD,
  18. erir permurando ve A C ad2C ica C ad D; et dividendo,
  19. vedisterencia inter A et C 2d2 C ird differencia inter C eD
  20. ad D; d permucando, differencia inter A e C est ad disseren-
  21. tis inter C _ D vr 2C ad D; led demonstrarum est disteren-
  22. eiam inter A X B esse ad differencia incer C et B ve 2C ad D;
  23. et proinde dissereria inter A eC B CR ad dIAereMEI L InteTC et
  24. B, ve difserecia inter Re C 2d dIFerer eiam inter C Se D; sed
  25. differentia incer A ec B est maior dlseremia inter C eB, de
  26. ideo disterentia inter A X C est maior difterentia inter C de
  27. D: de praedictam analogiam permutando, disterentia inter A
  28. _ B elt ad differentiam incer A e C, ve disserecia incer C _ B
  29. ad disterenria incet C et Diac disterencia incer A d BeA mai-
  30. or difterencia incer A e C. _ ideo diftereneia inter C e B CR
  31. maior disterencia inter C ee D;acqué disterencia inter A ee B
  32. aequalis est differencijs, inter A ee C, inter C e B; cumque
  33. earum veravis sie Maior diAerenei a inter C ee D, manitestum
  34. est difterentium inter A de Bmaiorem esse duplo differentix
  35. IntEK

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 16. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0024?run=74