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De Locis Solidis Secunda Divinatio Geometrica, fol. 108

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. 108
  2. VINCENTI VNAMM
  3. Sed duo Cinul quadrata
  4. DE, DF aequancur dimi-
  5. dio quadrari Eorius R F se-
  6. cundae diametri; ergoinda.
  7. ea TIy perbola ABC, qua-
  8. dracum lemidiametri erans-
  9. vertae DB 2d duo limul
  10. DE, DF est; ueidem qua-
  11. dratum D B ad dimidium
  12. quadrari secundae diamerri
  13. L F; vel sumpeis horum
  14. quadruxlis, ur quadeatum corius diametri transversae ad duplum qua-
  15. drari ejusdem P P Conjuracae, vel, ue diamerer eran sversa ad duplum
  16. sui recti lacoris: sed nuper ostensum est, rationem inter quadracum
  17. DB, ee duo simul DF; D P similem else rationi inter quadearum
  18. IA, d duo simul IF, IF, similemque rarioni inter quadrarum L. C.
  19. et duo limot L F, LiF _C. ergo hae omnes rationes lune similes illi
  20. eidem rationi, quae reperitur incer diamerrum eran svexlam daca (Iy-
  21. perbole, ec duplum lui recti laceris. Quod ere demonstrandum.
  22. Ex his Facile Colremus eriam Problema lequens, quod aliqui per-
  23. AEDULM PATAEHRE.
  24. 20B.
  25. LRO
  26. u
  27. N dato plano ABCD, in quo sit data linea recta F. F, ut-
  28. cumque posita, es in infinitum uerinque producta; in Bac
  29. vero data sint quoque duo puncta C, II; e proposirum sit in
  30. hoc dato plano LOcum invenire, in quo sincula quadrata
  31. ordinatarum ad ipsam E. F, ad singula accrecata quadrato-
  32. rum partium ejusdem P. F inter data puncta (, I, 8 ordi-
  33. natas incerceprarum, eandem habeant rationem cujustibet da
  34. tae rectae R ad S.
  35. lancia CEHI inter data puncta bifariam secetur in l, a quo in
  36. dato plano asatur lK, urcumque inclinata super P P; lIIMA-
  37. curque recta T dimidium daca rectae S, ac incer has R, V, lic tue-
  38. dia Droporcionalis V; ec uc est V ad R, ita Aoc ICF 2d IL; Factoy:
  39. puncto lcontro, lEF secunda Cemidiameero conjugaca, ee IL temi-
  40. diametro eronlversa, describatur in plano dato AC. per punetum L.
  41. EIrperbola ML. N.
  42. Dico hujus convexum ese Locum quaesitum.
  43. Ouum

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0300?run=74