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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 401

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: 0.85.

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

The machine reads it as

  1. Demonstratio.
  2. P A R A B C
  3. Vn enim eam rectangulum
  4. EFC ad quadrarum E A, qua
  5. rectangulum LOFI ad, guadra-
  6. cum C A Habeanerationem qua
  7. deaci DB ad quadratum D A,
  8. constacica eNe R F C rectangulum
  9. 2d IOTIve quadeacum PA ad
  10. C A. Duod demonctrandum Fuit.
  11. Corollarium.
  12. iT ex A ducacur diamerer AR, Occmerens ordinarim ap pHaciS In R ee L. rect an:
  13. outum C FE ad FFOT, duplicacam habebic rarionem elS quam C K F habee
  14. ad rectangulum FILI. rario enim rectanguli CR F. ad HI L L. eltracio linca R A
  15. 2ad F A, hoc est F A ad C: A. Sedrario rectanguli C F F ad FTCI, est racio qua- a +4. hmins.
  16. draci F A ad C A: igicur racio rectanguli CF F ad TICI, duplicara eA eius quam
  17. habec C. KF ad HIL. I, rectangulum.
  18. PROEOSITIO LXXLVIH.
  19. Darabolam AB C cuius diameter BD, ex ordinatim ad illam polica
  20. ADC; continear in A linca A F, conveniens cum diametrO IN F,
  21. erectilque Ex A e C diametris AF, C C ducatur quae cunque HTI, paral-
  22. lela AC, OCCurrenS A F. contingenci in KE, lineae AF in F, diametro BD
  23. in MI, iunctae AB in N, _ rectae CG in 6.
  24. Dico IEFC rectangulum xequa-
  25. ri rectangulo HFI.
  26. a5. I Demonstratio.
  27. 1L ccr esp C.
  28. Voniam eam FNB in R, quam
  29. LFC In M bitariam divila est, erie
  30. FR ad FN, VE FM ad FC. vnde re-
  31. ctatigulo FRFG, aeQUaTUE FNFM
  32. rectanculum: sed rectangulo NIM
  33. octensum cest X quari rectans ulum HI P P. igicur etiam rectangulo HIF L aequale est Is. humr
  34. KL Crectangulum. uod erat demonttrandum.
  35. ivODOBT P R, O P, OSAFLO LXXZIX.
  36. IIdem potitis: C
  37. 1. 12 4.2 1:
  38. DICOHK HF, FC sineas elle conrinue proporrionales.
  39. 5. 115313 1C S1E et
  40. Demonstratio.
  41. E
  42. Voniam rectangulum R F (d ae quale est rectangulo FIFI, VE FHI, ad F R, lIC 188. Buins
  43. LF C est ad FiI: ex congerrendo ve F II ad c FTR, Sic F G eAt ad CT, id eA ad F FT; cPor elo
  44. quadracum isicur F H aequale est rectangulO HRFC; e HIR, HP, F C PEOPOT. Menca.
  45. rionales lunt. Duodtuic demonstrandum;
  46. ninc
  47. 35 30

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 401. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0458?run=74