Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 224

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. B E E MI. C U R Y A R. U M
  2. CF diverta CIC, punctum N cum puncto C non coincider
  3. ac per NVip(i L. M, ideoque e contingenti LC R, aequidistans dun
  4. etalic PG. Calletitaque: punctum C, adeoque recta LC X in-
  5. fra rectam P N B: nimirum, versis Fllixlens centrum. AC veris
  6. e eodem modo punctum N, ideoque recta P N Q, intracon-
  7. cingencet. e nempe, versusidem cenerum cader. quod re
  8. pugnac. Non contingit erso ICRE PIliplin. Fadem de omnibus
  9. aliis est demonstrario, ac proinde constar provolicum.
  10. Corollarium.
  11. Constat itaque FIlipli cuilibetrangenti parallelas, xequi
  12. distantes quoque elle diametro conjusata ei, quae per tactum d
  13. centrum ducitur; de proinde ee ad diamerrum per tactum ductam
  14. ordinacim applicast, atque ab illa bitariam dividi. e contra,
  15. quae per cujulcunque diametri cerminum ducieur x quidistanscui-
  16. ier recta, pel candem diametrum bitariam sectae, FIlipsm in
  17. cocem rerihee Contingere.
  18. L HT E O R E M A Z VI.
  19. Propositio 18.
  20. Si qualiber contingens productae LIlipseos diametro
  21. cnicunque occurrat, atque a puncto contactus ad can-
  22. dem diametrum recta ordinarim applicctur: Crit re-
  23. ctangulum sub diametri portionibus, a CentEO PeE CON-
  24. cingentem applicatamque abscistis, lemidiametri qua-
  25. drato aequale, a COnETa.
  26. Ouamcunque FIliplim OD, cujus centrum A, contingat in
  27. puncto D, urcunque sumpto, recta DP, diametro PG Occurrens
  28. in E; atque a puncto contactus D ad eandem diamerrum ordi-
  29. natim applicata sit D C: dico rectansulum C A F quadrato se
  30. midiametri AC aequale esse.
  31. Sic enim primum axis diameter IC5, Sitque OWV describens, in
  32. Cacione utituic, cum per eandem descriptum eAt punctum D; ita
  33. uEO D incervallum Pemi-axi A C ae quale (IE, P R aurem describens
  34. in Ctacione, ipsi OW reciproca; ita uc d curra puncto H, quod
  35. nempe
  36. per + C0
  37. 24 Bujus.
  38. per 2C
  39. 23 hujus
  40. per idem
  41. 2L
  42. oll.
  43. per Corell.
  44. praecedens.
  45. 5 per 4Cor.
  46. 13 hujus

Cite

Ps. 2, fol. 224. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0248?run=74