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De Locis Solidis Secunda Divinatio Geometrica, fol. 68

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: 0.88.

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

The machine reads it as

  1. 68
  2. VINCENTIL VIVIANL DE LOCIS SOLIDI
  3. uni DA aequale cA quadrato segmenei C B absCIHII CX ARC ab ordimatim
  4. ducta AC, cum reliquo quadrato B D semirecti lateris. Ouod primo
  5. Oltendendum crac.
  6. Sit modo ramUS D C lupra OrdinataM FI, _E COnCIPIaTT CD produ.
  7. etus ad alteram partem vique ad Parabolam in A, e ex C, D, A, Ordin
  8. 20. primi nentur ad axem, quae in figura. Frit erBo recta C.B act BFL ZVE quadrNTIM
  9. AC ad CH, vel vi quadracum CD ad
  10. DFI (in Similibus crianoulis ADC, C.D
  11. HI) quare tres CB, DB, EIB sunc in ca.
  12. dem ratione continua, licu, e iplarum
  13. difereHEa CD, DHI. Ouamobrem.
  14. quadratum C B ad B D est ve qua.
  15. dratum DB ad BHI, _ ve quadrarum
  16. CD ad DH, _ duo simul CB, BI
  17. 2d duo simul D B, B FL, ve rnum.
  18. CD ad vnum DEI, vel vernum DA
  19. ad vrum D C; sed permurando duo
  20. simul C B, BD aequalia superius demonstrata sune vnico quadrato ran
  21. D A intra ordinatam FD L, ergo _ duo simul D B, BFT guadrato cami
  22. DC supra eandem ordinacum sunc requalia. Ouod secunco erac demon.
  23. strandum.
  24. Insuper de quadratum rami D F ordinatim ducti xequatur rectarieiilo sub
  25. DB in DF rectum latus, sed eA D B dimidium D F, ergo idem quadra-
  26. tum DF aequatur duobus quadraris DB, hoc cA quadrato Pegmenti axis
  27. DB cum quadrato semirecti DB. Duod supererat demonstxandum.
  28. Hinc Locus praedictarum porentium est ad concauum, Parabolae piope
  29. sIX _C.
  30. Ex hac Le se otere mechiodus toluendi sequens
  31. u e dd uc e
  32. R O P
  33. Atis, vertice axis, (5 semirecto latere, Ld ad
  34. in plano per puncta desoribere.
  35. det
  36. ET describendae Parabolae axis AB, vertex B, de semirectum latus M
  37. BA. oporcet iplam Parabolam tuco, ac prompre in plato per pun-
  38. eta descrivere.
  39. Lrigatur ex B ips Despenencuats, a aeuats BC, Mcaueue
  40. ad axem quorcunque ordinatae AD, F F, C FI _c. de junctis lubtensis
  41. CA, CF, CO _C. ex A termino semirecti cransuersim appliceneur ipsae
  42. aliasonales vlque ad proprids or dinacds: nem pe CC in AH, C A in AB.
  43. C F in
  44. COnICo

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0260?run=74