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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 186

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.

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The machine reads it as

  1. 11
  2. IR CYLV S.
  3. Demonstratio.
  4. Lisc enim quadracu A B agua.
  5. Lse quadracis BR n B, A, hoc
  6. estrectansuloB CTrna cuqua-
  7. dracis Calis L. A. Veex clemen
  8. eis pacer: est aurem quadearum
  9. A. aequale duobus Critis A
  10. ergO AB quaATACUM XquaEuE
  11. BCl hoc est CFl rectangum
  12. do rna cum quadraco C+. A: quod
  13. fuic demonstrandum.
  14. l cde a Le
  15. IIdCTHI POMCISILAHSAMIAT ITE, FF;
  16. L 2 l X.
  17. Vicolimeasres HE, B tn F. F, in conrinua este analogia:
  18. Demonstratio.
  19. Penim FTD incelligatur produci in R, exit F R ae qualis ipA R F, VE cL Cie
  20. eis educicur, unde _ HFF rectangulum, aequale est rectangulo BL L, id eAt qua-
  21. draco BB. Ouoderat demonstrandum.
  22. Ildem POlICIS:
  23. PROPOSITIO XA1.
  24. Dico AF ad AII, eandem habererarionem quam FG ad GHI, (1.
  25. ve AF in C e HI diuilam, excrema e mediararione proporrionali.
  26. Demonstratio.
  27. Ectangulum FGFI, ona cum quadrato OA; aequatur B A a quadeato led
  28. BA, quadraro aequale estbrectangulum F AFI, isicur FOHI rectangulum rua
  29. cum, CA quadraco aquacur F AHL rectangulo: quadrarum aurem AC xqualo
  30. Acrectangulis AC, H; C AH; rectanguta isicur F C FF AC HI, C, AFP, aequancur
  31. i. FA H rectansylo: Rectanguto autem F A FI xqualia quoque sune s cectangula
  32. GTTA, GATI. ablaco igicur communi rectanoulo (+ AFL MAnCE FCHI A re-
  33. ctangulum, rectangulis AO FI, F C FB id est rectargulo F AC HL xequalc. vnde re
  34. F A, 2d TI A, EC F C 2d GFI. Ouod Fuic demonstrandum.
  35. Scholion.
  36. Aec Propoo Pontur a lappotoro septimo proposrione 154. ed quia sort casut viaetu
  37. applicata quo recta RD. per centrum ducta est circuliB D C. adeoque ex videatur casum
  38. ecta A F excludere, placuit ostendere vniuersalem prorsus esse: Diio dipsum praestas apollo
  39. nics lib. 3. Proposuione 37 sed diverso à praesensi discursit. .
  40. R

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 186. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0243?run=74