Leibniz Legible

Machine transcription of the Leibniz Nachlass

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De Locis Solidis Secunda Divinatio Geometrica, fol. 48

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: 0.90.

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

The machine reads it as

  1. VICENTII VIVTANI ERO LOCISS
  2. P R O POSITIO ZXVI
  3. N quacunque Coni-sectione. Scementum diametri a
  4. vertice sumptum, quod semirecto sectionis laterisit a
  5. quale, poresi rectaneulum sub semiordinata ex diametri
  6. sermento in semiverticalem tancentem, osque ad latera
  7. lem, ductam ex termino semiordinatae. Oportet autem
  8. in Ellipsi prolata, quod ipsius semirectum latus minus
  9. sit suo trantuerso.
  10. Sco ABC Coni- sectio ParabOIR, VE I PrImL HSIId; vel HIS Per BOla
  11. A re in sccunda; vel Fllipsis OblOnex ve in certia; vel PrOlaX ve in
  12. QuarEa (quae tamen TaliS SIE VE ipSIUS FranSuerSu lacuS aiuS sIC LuO LemI-
  13. recto) quarum diamecer cransiers2 sit BD, CEMTUIM F, vertex B, sit
  14. que in omnibus segmenum B F aquale lemirecto lateri sux Sectionis,
  15. ac per P sic lemiordinata F A, e
  16. verricalis cangens BII, lacerali
  17. tangenci A C occurrens in II.
  18. Dico quadratum B F rectanoulo
  19. sub AF, AB aequale esse.
  20. PrOduCAUY A EI diaMetTOOC-
  21. currens in C7.
  22. rr. primi Tam, in Parabola, quadeatun
  23. LOn.
  24. AF aequale est a rectangulo sub
  25. F B in rectum lauS, siure in du-
  26. plum ip(IuS F B, ergo quadra-
  27. cum AF duplum est quadiari FB,
  28. b33. primi scd linea A F dupla eAFTB, cum
  29. Lonic.
  30. FC quoque sic dupla b C B, Ob
  31. tangen e A C, ergo guidea
  32. tm A L ad FB cArelinca A F ad
  33. ad HIB: Quapropeer rectanguum
  34. sub excremis AF, I B aequaUF
  35. Guadraio mediae BF.
  36. In religuis vero Sectionibus,
  37. 12. 25. pri- Quadraum AF ad rectangulum
  38. i Conic. D F B est ve c semirectum BF (ex
  39. construct. onc) ad lemitransuersum
  40. BE, rectanguium DF B ad quadratum BF est ve linea DF ad PB, erBD
  41. ex aequili in ratione percurbata, quadratum A F ad F B est ve linea D F ad
  42. 25 huius BE, vel ad D E, sed DE ad DF est ve d F C ad C, B, ergo quadratum
  43. AF ad FB est ve linea F C ad CB, vel ve linea AF ad HIB: rectangu
  44. lum ergo sub AF, H B aequaux quadrato sesmenti B S Lemirecto aequalis.
  45. uod erat, dico
  46. PRO.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 48. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0076?run=74