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. 41

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: 0.87.

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

The machine reads it as

  1. ic
  2. 11
  3. iC
  4. C
  5. Secundo, Si heriporest, cadac linea OB exera lineam O A
  6. in puncto D; Suppono curuam OA (quo propius ad A) eomi-
  7. nus distare ab axc C. L; cadar D F perpendicularis in rectam
  8. OInon productam inera curuam DO, de ideoD L cA minor
  9. axC AgurerDOcuolute: lic in cuolura ordinarim applicata F
  10. II equalis recte D I; manifestum cst Aguram OFLII eNc IOD
  11. cuoluram, acque ID Ccu HIE maior cA quam rectAR E, d
  12. idco CLesmaior quam FIE. nempe ld Fmaior quam axis A-
  13. BurEIB OeuolurE, quod eltabsurdum exhuius anceceden.
  14. cc, e proinde Bo non cadic extra AO: eodem modoproba-
  15. tur OB non coincidere cum OA, cadic ergointra, quod den
  16. monstrare oportuit.
  17. Ouod si perpendicularis DF cadat in IO productam, non
  18. Potelt (OB esse figura IO AC. involuta, quoniam lI maior
  19. erie quam vila ordinatim applicaca in figura lOAC.
  20. CONSFOTARIVM.
  21. roniam AgurECAOOR; IBOP, se muruo rangune in
  22. puncto O manifeltum eltrectam, unam ex histiguris
  23. eansencem in puncto o, alceram eriam in eodem puncto can-
  24. Sere; deque hinc cuidens ekmechodus ducendirectam, que
  25. inuolucam in daco puncto eansaI A modo decur methodus
  26. ducendirectam que cuolutam in dato puncto concinsae, de
  27. C contra; recta enim eansens cuolucam eodem inclinat an
  28. Dulo ad ordinarim applicaram, quo tansensinuoluram in-
  29. clinac ad eandem ordinatim applicaram in cenerum involu
  30. cionis cum reliquis concurrentem.
  31. Omnia predicta de ficurarum involutione eodem modo
  32. demonstrantur, quando cuolure curua est conuexa vertus
  33. anem, eriumsi im noAris ABuriS SuOduTS CurUa sE versuS AdC
  34. COREaUA.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 41. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0057?run=74