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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 333

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. 1
  2. DE.
  3. CenII
  4. esta
  5. F L L IPSIS.
  6. REVC HII ad F I AC L MI ad OM: IBICUEDE KN ad PH, AC LM CM d OM. d
  7. permurando ve K N adt LM, hoc es EN ad IMI, sic PN ad OM. in directum
  8. igitur TunE I, O, P. GNArOCUM RNI, LM ad AC, sine perpendiculares, ac proin-
  9. de incer le parallelaes criere II ad P. R, Ac IO ad OP. Guoderac demonstrandu.
  10. PR OP OSITIO CLXX.
  11. Virculum ABC secent diamerri dux AB, C D ad rectos sele angulos
  12. decultances, actxe que per C e D linee que circulum contingane inC
  13. d D, concinganccriam ellipsim A F. B cuius aliqua sic diamerer A B. dein
  14. quaeuis ducatur C HI parallela C F; occurrens circulo in G dc l, ellip(i
  15. vero in I e FI, e C D linee in HI.
  16. Dicolineas GI, HIK essexquales.
  17. Demonstratio.
  18. EX concactu ponacur ad centrum
  19. FN, quae aproducta incider in
  20. punctum concactus L’ad hanc dia-
  21. mecrum, vepacet ex alibi hoc in libro
  22. demonstracis, eruncordinacim poli-
  23. Ex K HI, AB, inde rectangulu P L. F.
  24. eA ad rectangulu F. NV, ve qua
  25. deacum L. II ad quadracum NB, Scd
  26. rectangulum P L F est ad rectangu.
  27. Ium FNF, ve rectangutum CMD
  28. ad rectangulum CNYD, (cum enim
  29. CF, DF b dC K HT exhypoches sInC
  30. parallelae, rectangulorum illoxum
  31. rariones ex ijldem rarionibus Com-
  32. Ponuneur,) et rectangulum CM D, est ad rectansulum C ND; DE quadratuIM ML
  33. ad quadrarum NB, quadeacumigicur M I est ad quadracum NB, ve quadeacum
  34. E II ad quadratum NB; x quantur ergo quadrata MI, L. IT, adeoque _ rectX NI I
  35. LH carumque dupla C, L, K HL x quales lunc. Ouod erat demonstrandum.
  36. PROPOSITIO CLXXI.
  37. VEmicirculum AB C cuius diameter A B ee concrum F; contingat
  38. recta CD, aequidistans AB, et per A de B, puncta elliplis describa-
  39. cur que diametrum habeat AB, e rectam C. D concinsat in puncto
  40. quonis D: ex D vero ponatur D F occurrens circuli peripherix in F, 192-
  41. curq per P parallela CH, secans elliplim in H ex I, circulum vero in
  42. de F
  43. Dico lineam CHL in 1 et F, critariam c e divilam.
  44. Demonstratio.
  45. 3
  46. ona el per praecedene e aqua
  47. lis efablata Co LF, aset FHI,
  48. aequalis CI; sed iph FII aequatur IF (quia
  49. FEI ordinacim posica est ad diaetrum DP)
  50. aequancurigirur GB, IF; FR linea. Quoe
  51. Cracdemonstrandum.
  52. B13. bol 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 333. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0390?run=74