Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 57

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: 0.84.

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

The machine reads it as

  1. 51
  2. DI
  3. d
  4. t
  5. U
  6. el
  7. np
  8. FGuex XYL cirCA axEM VSInPATIONO COMPORCA; ex PFOPOPA
  9. tione suverficiei eronci inferioris 34 C D ad superhciemerui
  10. ei inferioris 567 Y X2 e ex proportioneradiirocacionis F L.
  11. ad radium rocacionis Ter, quod demonstrandum erat.
  12. HIoc Theorema ctiam locum habee eodemque modo de
  13. monstratur in supertciebus rorundis genitis a rotatione li-
  14. nex vellinearum quarum cunque tiguram non comprehen.
  15. dencium.
  16. P RO P. 29. Y HI E O R F M A.
  17. Si super qualibet sicura circa axem intelligatur exlindricus rectus.
  18. ita sectus a plano in duos truncos, ve planum per oppositarum cy
  19. lindrici bascum axes ductum, siat plano secanti normale: truncus
  20. onus erit ad truncum alterum reciproce, ut partes radiirotatio.
  21. nis resecta a centro eranitatis ficura.
  22. Vver qualibet ABUFR L RM cirCL LXeM K N sic cplindri-
  23. a CUS RECtUS ABDMLK sECtUS IN ErUNCOS ABDZYZ, ZYZ
  24. XLM, 3plANO E TV C ad planuM ACNK, per oppolicarum
  25. exlindrici balium axes AC, RN, ductum, normali: AINEP, O,
  26. cenera gravicacis balium oppolicarum, quae iunsantur recta
  27. PO. Producatur planum (ecanSi dOnCCAXES AC, RN (A OpuS
  28. eA) productos incersecet in punctis F,S; de in co(dem axes
  29. (E OpuS CH) produstos line perpendiculares FL, SO; mani.
  30. Feccum eA FIS Desse Parallellogrammum rectangulum, icem
  31. FPesse cylindricialcicudinem, ee IS rotationis radium, quip.
  32. Dead incerfectionem plani secancis ec ba (cos L. RE MI nemDC
  33. rectam TV es perpendicularis, quoniam ducieur in plano F
  34. 2ST, quod verique plano ee sccanci dc b2 (c05 L. ICM est nOr.
  35. male. Dico eruncum ABDZ Y Z eNC ad cruncum 2 YL
  36. MLK re reciproce IO ad 05. amediis punctis rectarum
  37. FI, IS, nempe H, R, ducantur rectA HIS, RF, necnon
  38. TR sCCANS O P in X; crune icaque inter se Parallella d
  39. aequa

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 57. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0073?run=74