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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 603

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: 0.80.

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

The machine reads it as

  1. atei
  2. di
  3. 5
  4. ain.
  5. ela
  6. nuS
  7. _c.
  8. ita
  9. 10.
  10. 1.
  11. A Y PE RBOL A.
  12. F L ad BC; isicur quacuor linea AB, VL, L P, DC mM Concinua analogia, ac
  13. 607
  14. proinde DLumeael 2BBC. aouus deatcu
  15. P R OPOSITTO CXXXIR.
  16. DOnANEUF AB, BC, _ AB, L ap ccatu COOTM
  17. GHI, IKL aqualium _ MIMMAI BC COMMIUCE; HDEaBC;
  18. sine parattetx inrer se: duclcur aulem L. C parallela DB.
  19. Dicoparaltete can e asuapacum arum duabus hyper-
  20. bolis IK L, HIN F comprehensum.
  21. Demonstratio.
  22. luidacur BC bitariam, recta S F, parallela C F occlirrence Hyperbolis K
  23. X C. veligicur spacium RG FI L, duabus hyperbolis incercepeum; matus bet
  24. minus est dimidio corius spatii, duabus incercepci hyperbolis; vet IIII a quale: Rminus
  25. vel aguale; polra REalcera R C ParaIlela CL, VEK C: T FL (paccaar i Musidio
  26. coriusspacii hyperbolis comprehensi, occutrarque CK rectis DF, BC in S L L.
  27. eritisitur FC maior qua B P, ex T F. parallelosrammis maius dimidio corius paral.
  28. seloprammi B P. quia vero hyperbolae dux aequales sunt, de similes, habentque
  29. alimproron communem AB, IpAEIUM RSP F, aquacur O TTIC spacio, addicoq;
  30. communi (HISR Paralleloorammo Y S F. C aequale est spacium R P CiFT. Simi-
  31. licer B T linea bitariam divila in P, Bonacur P M aegnidistans A B. idicur lpacium
  32. MNK O. vel minus auc maius est dimidio residui spacis R C F L, _c. producti, elil-
  33. liae qualo. sxquale aue minus, posica Sc, ve ance, quaedam MNP vt spatium MLC
  34. maius sic dimidio relidui K C: F L producti: erir igicur, re prius ostensum est, palium
  35. MNVO K aquale; parallelogrammo PS, quod maius quoque cllamiato Patatte-
  36. Brammi BS: qua operatio cum sine cermino concinuari possic, ica vrablaCA Cx Pa -
  37. rallelogrammo B B, maiora sint illius dimidio e aegualla ablacis ex spacio duabus
  38. hyporbolisincercepro quae maiora quoque lunc dimidio ciuldlem spacis, ConstaE EOCII
  39. uclum duabus incerceprum hyperbolis, aparallelogrammo B L. CC ascale. I rel proeressioni
  40. aqua a relidu du u pituo Cactns e oat
  41. 16. v
  42. Pato lbe Th aequalis lic dimidio cociusipalisi peloots eteae pasm ous

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 603. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0660?run=74