Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, 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: 0.88.

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

The machine reads it as

  1. id
  2. 1b
  3. SUEX XXZ CIrCAAXEM VS in PaTIOnC COMPOHCA; ex PFOPOP
  4. aione superhicici erunei inferioris z4 C D ad superhiciemeru.
  5. ei inferioris 567YXZ et ex proportione radiiroracionis L L
  6. ad radium rocacionis Te, quod demonstrandum erat.
  7. Hoc Theorema criam locum habet eodemquemodo de:
  8. monstratur in superEciebus rocundis genicis a rotatione li-
  9. rea rellinearum quarumcunque fcuram non comprehen-
  10. P RO P, 29. Z HI P O R F M A.
  11. Si super qualibet Reura circa axem intellicatur cylindricus rectus.
  12. ita sectus a plano in duostruncos, ut planum per oppositarum cy
  13. Vindrici basium axes ductuna, si at plano secanti normale: truncIs
  14. onus erit adrruncum alterum reciproce, ut partes radii rotatio
  15. nis resecta a centro eravitatis figura.
  16. Vper qualibet AGUFA L RM circA axem R N sic cylindri-
  17. CUS reCtUS ABDMLK SectUS IM ErUNCOS ABDZY2, Z.Y2
  18. HLM, a plonOF TV C ad planum ACNK, per oppoliearum
  19. eylindrici balium axes AC, IEN, ductum, normali: LinEP, O5
  20. cenera gravicacis balium oppolitarum, quae iunsancur rect a
  21. PO. Producatur planum (ccansi donec axes AC, REN ((I OpuS
  22. eAt) productosincersecer in punctis F, S; de in eoldem axes
  23. (A OpuS est) produaos sine perpendiculares FI, S C; mani
  24. Fectum eA FIS Gese parallellogrammum rectangulum, icem
  25. Fi esse exlindrici alcicudinem, ee IS rocationis radium, quip.
  26. pead incerlectionem plani secaneis se ba (eos L K MI nempC
  27. rectam TV cA perpendicularis, quoniam ducitur in plano F
  28. ESt, quod verique plano ec secanti e ba(cOS L. R. MI elt nOr.
  29. Male. DICO ErUNCUm ABDZ YZ eNC ad cruncum 2YY
  30. MFK rereciproce 10 ad O5. amediis punctis rectarum
  31. FI, 9S, ReMDC EI, R, ducanEuF rectX HS, RF, RCCNOM
  32. LTR secanS OP in X; erune icaque incer sC ParaIICIA de
  33. aqua-
  34. dencium.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 57. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0141?run=74