Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 97

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. GRDINATIONVM COMIC. LIMITIBVS LIB. I.
  2. cur aegresatO ex Pemirecto PF, _ ramo minimo F. B) arque FyperbO-
  3. lae semiaxem transversum PL. posse rectangulum sub D P, aequale praediu
  4. At0 asoregato, in idem Parabola Lemirectum PF. Oux omnia ostende
  5. re proponcbamus.
  6. eROPOSTTTOLMI. LCMMA IV.
  7. I inter AB, BC. sit media reometrica BF, cui sit
  8. d aequalis, (5 in directum BF. Dico rectanculum F AL
  9. rectangulo BAC. aequale esse.
  10. Vum sic enim tOrA A B ad EOTaM BF, VE PArS BF. ad parrem BC
  11. erit 10i2 AB ad c0 am BF, vel ad BF ipsi aegualet BOLITAM, V
  12. reliqua AF ad reliquam F C, e converrendo, ee componendo F A ad
  13. AB vi C A ad AE; ergo rectanculum E A F, sub exremis, requatuI
  14. rectangulo B AC suib mediis. Ouod Cxac _C.
  15. aedtt Lta
  16. Le laradora. Lues Orainationis ramorum ad orieino
  17. tum Ordinala pet ortenem t ardoolam tandentium.
  18. Centrum verd ipsarum distat ab orieine verticem ver-
  19. sus per semirectum Parabola. Semiaxis autem transuer-
  20. sus potest rectanculum sub axis scementis inter contrum
  21. ipsarum. Cs terminos avis triansuli cireumseripii com
  22. prehensis.
  23. Sio Parabola ABC, cuius axis BO; verrex B focus l, intra quem
  24. L(ic origo ramorum O, quae, vel diltet a vertice B per interuallum
  25. OB semirecto Parabolae aequale, duplum nempe distanciae LB, quxe est
  26. Quasta pars recti, re in prima fgura: vel per internallum OB iplo semin
  27. recto maius, re in secunda, vel per minus, re in tercia; ee in omibus
  28. super ordinacam AC per originem si crianeulum circumleriprum ADC
  29. CuiuS
  30. interna infra focum, sunt ad LOcos connexos Sectio-
  31. nu Oppoptarum aequa ube du erminos lo

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0125?run=74