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De Locis Solidis Secunda Divinatio Geometrica, 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. VARTAR: DISPOSTTIONVM LIMIT. LIBER III.
  2. EOPOSCILO.
  3. Ocus, quem in isoperimetris par alleloerammis aequi
  4. anculis ad communem anculum constieutis, atrin
  5. sunt ipsorum anculi communi anculo oppositi, est
  6. Locus planus, nempe recta linea, quae sit basis trian
  7. suli aequioruris, cuius aequalium laterum summa
  8. qualis sit perimetro onius ex paralleloerammis.
  9. D illico manifectum sic ex lui converlo, ve sequicur.
  10. Eco trianonlum quodcunque aeguiCTIre A B C, cui in eodem angulO
  11. B inleripea sine quortibet parallelosramma B F, B II. Dico horum peri
  12. metros, ee inter sC, ee summae lacerum AB, BC. aequales esse.
  13. Ouum sic enim B C aequalis BA,
  14. erie etium CHI aequalis C A, _DF.
  15. aequalis D A; quare duo Cinul BC,
  16. GFL aequaneur laceri BA, Pariterque
  17. duo simul BD, DF eidem laceri B A,
  18. ee lumptis omnium duplis, Perimeter
  19. Paralleloerammi BFI aequalis eric du-
  20. plo iplius lateris B A, nempe aequa-
  21. sis duobus simul AB, BC: ac simili-
  22. ter perimeter parallelogrami BF. Xe-
  23. qualis duobus simul ijldem AB, BC. Ouod erat dc.
  24. Frinc Locus, quem in expolitis parallelosrammis iloperimetris attingume
  25. anguli communi angulo oppoluci, C Locus planus, qualis propositus fuerat.
  26. Ex hoc lacim otensenda se prabet sequens
  27. PROP3L1LC 1.
  28. Soperimetrorum paralleloerammorum quorum libet ma
  29. vorrodrdi es iitos cobtrtib.
  30. M

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 57. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0249?run=74