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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 787

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. N PL A N V M
  2. IF dein quoruis ducantur GC parallela ad AB, OcCurrentes L. F HIHCIS
  3. in C: _ E. IF rectangulis xqualia hanc rectangula C IFI.
  4. Dico corpus ex HIF plano in alcicudinem C l aesuari magnicudini
  5. oreae ex ductu superticici 6 F. in IF.
  6. Demonstralio.
  7. Noniam ETF reclanoutis id est
  8. Lrectangulis AIB aequalia AINE
  9. rectangula GPTT CFUNE PUNCCA ATY
  10. aad parabolam: vlcerius CT eA ad
  11. P G7, VE TF adHTF, adeoque e
  12. GF, ad GI, VEFHI ad IF: vnde
  13. FTTOT recrangula aequalia suNE
  14. reccangulis GFIF: ex cum alcicu-
  15. do omnibus sic eadem exie b FI F du-
  16. ccum in GT alcicudinem aequale
  17. OF ducco in IF. Quod fuic de-
  18. monstrandum.
  19. PROPOSITIO CXXVII.
  20. Tirculum ABC secet recta quaedam A G parallela diametro C D,
  21. Acrectaque ex K contro orthogona K L P describatuEper C L. D el
  22. liplis concingenscirculum in C e D, dein ex C dc D cangenres erisaneur
  23. occurrenres linex AC illiulque parallelis in O _ R.
  24. Dico corpus ex ductu OF in FR, eam habere rationem ad COrpuS ex
  25. ductu OC in CR, quam habet L. I5 ad FHE.
  26. Demonstratio.
  27. Veca quavis X V aequidistantere.
  28. CTX TK, que circulo occurrac in
  29. C, Cllipsi in F AGaNEuE per G _E F
  30. Parallele diameero CD: erie igiene
  31. RGO rectangulum xquale ReCTAN-
  32. sulo R FO, vnde parallelopipedum
  33. habens balim rectansulum RCO
  34. ex CV alcicudinem ad parallelopipe.
  35. dum habensbalim reccagulum R F O
  36. ex alcicudinem FV est vE C V ad FV
  37. hoc CstveTR ad LK cEimilicer oAté-
  38. demus intinita parallelopipeda inscripea corpori nato ex muruo duceu planorum rur ex illi
  39. t c0
  40. OO, CR ese ad intinita parallelexipeda in scripea corpori geniro ex duetu mu- de ellipse
  41. ae in lib.
  42. CUO planOTUM O F, E R VE TR ad T R. croo, rei Facile deduci porest e dilcurtu 15. ostondi.
  43. huius, magnicudo orca ex duetu O F in F R ad quancirarem ortam ex duceu O C
  44. in C.R, eam habec proporcionem quam habec L. K ad YK. Duod exac demOn.
  45. AErandUM.
  46. 3
  47. a312. parab
  48. e R O
  49. 9tategletess11s1191t61te71 et91301 311321931138

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 787. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0844?run=74