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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 327

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: 0.88.

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

The machine reads it as

  1. Oreo
  2. itert
  3. rectat
  4. ELLIPSIS.
  5. 32
  6. rectangulorum BC F. Ligitur ve quadracum LTC ad quadrarum FTC: Sic BG L
  7. rectangulum elt adreetansulum BC L. quare puncta B, li, e omnia puncta LL, ad
  8. eandem lune elliplim. Quod eracdemonstrandum.
  9. PR O P OSITIO CLVII.
  10. Sto ABC circali diameter AC _ ex C recta quaeuis alela C Boc.
  11. curranic circuli perimeero in B, dein ex B demiltarecca B l que AC,
  12. diametrum ad reccosangulos secet in IC. ducaneur quorcunque linex F. F
  13. parallela rectae B l’occurrences AC. diamerro in C, de lince, BC in D:
  14. hanEque E D F rectangula aequalia quadcaris (7FI.
  15. DicoLLHC puncta eslead candem elliplim.
  16. Demonstratio.
  17. J Z ED Frectangulum adrectanigulum
  18. P. DF, SiC BDC rectangulum est ad
  19. rectangulum BD C, id est rectanoulum
  20. KOC ad rectanoulum R C C: sed
  21. (quemadmodum alternando patet ex hy-
  22. Pocheh) veP. DF recrangulum ad reCEan-
  23. sulum F DP, Sic ITG quadrarum est ad
  24. quadeatum HIG: IBITUEVE RG C FCCTAN.
  25. sulum est ad recrangulum KOC, SiC LTC
  26. quadracum est ad quadracum FI 5. quaret
  27. KHC puncca lunc ad ellipsim: Ouod Crat
  28. demonctcundum.
  29. eROPOSITIO CLVIII.
  30. VECenE ABC circulum OrEOGO.
  31. Dnalicer diametri AC, B F act 293
  32. Per B tangente BD: ducacur per P. centrum recta Gua uIs L.D, Occur-
  33. renstanseni BD in puncto quonis D. dein rectx ducancur FHTI, pa.
  34. rallelae cangenei BD, OCCurrenteS E. B diamerro in LIFI, et P. D linex in
  35. LI: RarGuC VEF HI ad F HE, SIC TK ad IK.
  36. Dico AKD puncta esse ad eandem elliplim.
  37. Demonstratio.
  38. DE linea donee accx per Mcangencioccur.
  39. FaC in N. Ouoniam BD, NM; FTI linex aequi
  40. distane, eric ve reccanoulum BIrM ad reccall
  41. sulum BHM, Sic D LN reccangulum ad FCCTAN-
  42. sulum DIN; Sed cst ve BHIM recrangulum ad
  43. rCCEangUIUM BITM, sic Fi FT quadeacum ad
  44. quadratum FHI, id est quadrarum TK ad qua-
  45. dracum TK. igicur ve DIN reccangulum ad re-
  46. cransulum DIN, sic est quadrarum IK ad qua-
  47. dracum IR. quarE AKD puncca sunc ad el
  48. lixtin. Quoderac demonctrandum.
  49. DROduCTA B F diamecto in MI. ProducaLIE dt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 327. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0384?run=74