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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 419

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: 0.89.

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

The machine reads it as

  1. PA R A BOL.
  2. Constractio ex demonstrario.
  3. A ABC parabolae atis BD, e in eo pun-
  4. ctum dacum D, oporcec cenero D circu-
  5. lum describere, qui parabolam incerius con-
  6. cingac in duobus punctis: Oporret aurem BD
  7. lincam maiorem esse dimidiolaceris recti. Aac
  8. DE aequalis dimidio laceris rectii ex per Frc
  9. eta agacur F AC, ordinacim ad axem: iun-
  10. gancurque puncta D, A: Tum CenEEOD incer
  11. vallo D A circulus describatur. dico illum
  12. concingere incerius parabolam in duobus
  13. Dunctis. agacur enim per A ContinsEnS AF
  14. conveniens cum axc in P. Ouoniam linca
  15. A F Parabolam concingir in A, _ F D aqua
  16. tis est dimidio laceris recti, angulus a F AI
  17. rectus est; est aucem ex hypoches BD maior
  18. dimidio laceris recti; ergo per pracedencem
  19. circulus cenero D, incerualIo D A deseripeus
  20. parabolam concingecinterius in duobus pun-
  21. Etis: a daco igirur in axe puncto D circulum
  22. descripsimus, Xc. Ouod crar faciendum.
  23. PROPOSITIO CXXXIII.
  24. DArabolam ABC cuius axis AD continsac interius in duobus pun-
  25. cis B ee C circulus HIB C. actaq per B contingence parabolam in B,
  26. quae axi occurrarin F, ducatur exF, linea FHI, Secans circulum in G e
  27. HI, dein per C e FI, normales ducantur IEOI, N EI L. OCCurrentes pa-
  28. rabolae in K ee N, axi veco in l e l.
  29. Dico eseve HL ad 61, sic NL. ad H1.
  30. Demonstratio.
  31. Ccinsic in B e C, d lB MnCa Pet B ducta p2
  32. taboram in B concingit, eadem B F circulum quo-
  33. que concingic in B; ipitur ve HIF ad FO, ACDTIP
  34. onde L A ad AI duplicaca habectacionem L A ad
  35. AI. duplicaca esiationis FLN adRI, igiturNI
  36. est ad K I, ve L D ad. DI, id cA LHT ad C: I. Ou0d
  37. cras demonstrandum.
  38. Voniam circulus B G C parabolam irteus con-
  39. eR ad PC: eE VE T E ad F L, SC L D ad DI; Ced ve
  40. F. F ad FI, siC F HI ad TO, igitur L D eAt ad D I.
  41. veTHI ad TC. quia vero I. F in D ec B exrrema
  42. ex media rarione proporcionali divila est, d FF
  43. cbissecta in A, proportionaleS TunEA AI, AD, AL.
  44. D e idCACLD ad DTVICaSATO quoque L A ad
  45. PROPOSITIO CXXXIV
  46. ISdemposiris:
  47. to tectad Lut Ci lentit t eemlerte aqllaled
  48. 852
  49. 630. D
  50. circatu
  51. omibu
  52. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 419. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0476?run=74