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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 393

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. ud
  2. les;
  3. une
  4. F
  5. ulu
  6. P A R A B OL A
  7. coram habCE AL 4d F C+3 exit d AB ad B C, ralto criplicata racionis AF, ad
  8. F C, id cA AF. ad C C, id est AD ad DC. Ouod CTAtdCMOMIEA.
  9. EROPOSITTO. L XV I.
  10. IIdem poliris ducatur ex D ordinarim linea D FI, uungacurqe HB:
  11. Dicoangulum ABF, linca HIB dinilum essc bitariam.
  12. Demonstratio.
  13. Voniam anguli AF B, EIDB, recti Cune,
  14. Creliqui duo anguli ABF, BAF reliquis
  15. AIBD, DHB aequales sunc. Scd B A F angu-
  16. 10 aequatur a ansulus FBG, duo igieur an-
  17. suli LR G, AB E aequales suncduobus FTBD,
  18. BIID: id est angulo HBD bis lumpro, ob
  19. FTD, DB lincas aquales: dempro igieur
  20. communiangulo FBC, manencanguli duo
  21. LIBD, IIBE aquales angulo ABF: a qui-
  22. bus curlum E communem demas angulum
  23. EIBD; reliqui ABH, HB F aequales manen.
  24. Duoderac demonstrandum.
  25. B0ne P R O P OSIFIO LXFIL.
  26. DArabolam ABC, cuius diamecer BD, Concingat in SIIILA D L; C
  27. quouis aurem puncto A in perimerro assumpeo dueta ordinacim
  28. AD iunctilq. AB punctis lumatur in contingence punctum quodeum-
  29. que F, ex quo linea demictatur FG, parallel2 diametro BD, OCCUTFeNS
  30. parabole inC, AB iunctx in HI, ec ordinarim posirxe in C.
  31. DicoF C, FHI, F C lincas in continua esseanalosia.
  32. Demonstratio.
  33. LiRecta ex A dIAMCTEF A L OC.
  34. currac concingenei in F, &
  35. per C ordinatim ponaeur IK sC-
  36. CanS AB, AF. lincas in L ex Y,
  37. e BD diametrum in R. VERI
  38. ad R C, sic BP eAt ad BHI, id
  39. es FC ad FHI: XVE CRad IR.
  40. id est F B, ad F B, GC F HI est ad
  41. E A, id est ad F O: Sed LR, CR.
  42. IR, linex sunc continuac proporcionales; igitur _ FC, FHI, FC linex in conci- c A2. huiue
  43. nua lunc analosia. Duod exac demonstrandum.
  44. EROPOSITIO LXVI II.
  45. Iidem dacis lumatur in concingente quoaus punctum et Guo
  46. Lcur FH parallela BD, occurrenslinex AB in FI.
  47. DicoHI C esead C F ve AH ad HI B.
  48. 2 Coroll. 35.
  49. uius
  50. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 393. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0450?run=74