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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 403

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. P A R AB O L. A.
  2. PR OPOSITIO XCILI.
  3. Tisdem peHIS ducarur linea D RL OCCUEreNS G F in NI.
  4. L Dico CM, GHI, C F lineas in continua esse analogia:
  5. Demonstratio.
  6. Voniam e C asudictac AD (ob D C, parallelogrammum) ec TKD, TCD
  7. Lerianoula eandem habenebasim ID, LINCR M FI, =FTL aquales LunE. LunCaU- 2 Educitun
  8. cem concmue proportionales CF, FIF, I Piisicur ex CM, bCHI, C F linea in con. ex clemon-
  9. cinua sunc analosia. Duoderatdemonstrandum.
  10. EROPOSIFIO XCIV.
  11. L Dico ad FA, Sc HB ad BF.
  12. Demonstratio.
  13. DVCACUTCK C pet B HHCA CN OcCurrens AD linex in N: _ ex A Fecta AC
  14. Paralleta BC LCAHS F. C. productam in O, ex F B lincam in P. Quoniam DC. c67 huint
  15. eAcontinsens e AC eidem parallcla, rectae TIB, FTF, ETPC proporrionalos dg2. huino-
  16. lune. Suncaurem etiam scontinue L F, ITF, OF, ee C F linca xequalislineae II P (ob
  17. AB, AC. Parallelogramma super cadem basi A D, _ incer caldem parallelas consti-
  18. CUTa.) igicur e TTB, aqualis elt rectae LF: unde dempra communi I B, manccHI L
  19. rectae BF, _ N A ipA FD aequalis; adeoque e NY C paraIIClA D R. GUATCVEDN
  20. est ad N A, id est EK ad DF, hC EIB est ad BF. sed vE CR ad D T; sic CHI est
  21. ad FD, id est C F ad F A: igieuE vE C F ad F A, siC IYB eAt ad BF. Quod crarde.
  22. monstrandum.
  23. Eshec Archimedis alicer demonstrara.
  24. eR OP OSITIO XCIH
  25. DArabolam AB C Subrendar linca A C
  26. actaq; perAcontingente AD que dis-
  27. merro C D ducteper C. Occurratin B, Po.
  28. nancur quocuis diamerri FF. SCCanECS P2-
  29. rabolam in (5, _ per C ex A, ductxelineae
  30. AHI, occurrant diamerro C D in II.
  31. Dico RC, CD lincasproporeionaliter
  32. in F. et Hl esse divilas.
  33. IIdete poliris.
  34. monsratio.
  35. monstratiomanifesta et per precedencem.
  36. nam lemper eAt vC AF, ad. LC, GC FC ad
  37. CF id CA D HI ad FIC.
  38. DII. Depro-
  39. resstorodu.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 403. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0460?run=74