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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 60

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: 0.81.

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

The machine reads it as

  1. i 1 . 1 1. 1 . 11. 1 1. 1
  2. P _ OGR F SSION FC
  3. P R OPOSITIO VITI.
  4. IInEEreS maonicudines AC, AB, AF; _ F F aqualis (IC C B.
  5. DicO S A C minima CHIIIII, d CD MIInOr difforentia, e BF.
  6. veriulque ditterencia, eCla line concinue proportionales, iBlas quo-
  7. quemasnicudines LC, AB, A F ese in continua rariolC.
  8. Demonstratio.
  9. a3. Secundi. D F AanOnIUM F A C L XGULaEUE FCCTAHIBIIO F C A vna Cum quadratO C A, rectan-
  10. B1. Sccundi. Lculum aucem F C A aequatur brectangulo AC B, _ rectangulo AC BF (id cA
  11. c17. Sexri. couadrato B. Cu aC. C bF Ponum Commua) ab praccilacuanuee
  12. EF; id est ACB, quia aquales Cunc CB, F. F: igitur rectanoutm lAC aequatur
  13. d4. Secudi. Gua ato AC3C B3 celectangulo AC B bis, hoc elt quadraro a AB; ta eu
  14. el Sentr. ures proporcionales maxnicudines AC, AB, AP. Quoderat demontrandum.
  15. dC.
  16. lat
  17. Mliter.
  18. TT BC ad CA, sC FB ad BC, i CH L L. IBIur componendo ve B A ad GA.
  19. .
  20. Sc BF ad F. F, hoc est BF ad BC: ergo permucando et componendo LA ad
  21. BA, VE B Aad C. H. Saouctac demonstrandum.
  22. Corellarium.
  23. relcix; cruncrurtun AC
  24. TauTeM A C, CB, R F Fuerune proportionales, ee B F aqualis C B minori difte-
  25. dem est, que Plopocibusal pola.
  26. AB. AF concinux proportionales. Demonstracio ca
  27. kOFOStLIO 1X
  28. Int in concinua analodta AB, AC, AB, dMminori disterentia BC,
  29. aequalis sIE FD
  30. C
  31. Dico minimam AB, c MC CLCa BC, deinde _ C F,
  32. veriusque dinctenra elentiam, esse proporrionales.
  33. Demonstratio.
  34. C3. Sccundi. Fctangulum D AB Eaquatur rectangulo D B A, ec quadrato AB: rectangulum
  35. BI. SccuL aurem D B A B XquatuE rectangulis ABC, _ AB F D, id ch LMuS tCuanou-
  36. l0 AB C (suncenim F D, B C linex aqualeS) e rectangulo AB C F: CF~O rectAN-
  37. Sutu AB, aquatur quadraro AB, ec rectangulo AB C bis, a praletCateca.
  38. ulo ACL: quaccacua del ac: aguacit guacale aieclati aABC Oto
  39. ex quadrato BC: Acsut Cum AB, AC, AD ponantur concinux proportionales.
  40. 7. Sexri. ex Cellangulum hD AB aequalequadrato AC; ergo quadrarum AB, rectangulum
  41. A BC BIS. arectangulum AB C F Simul Cumpea, aquancur quadraco AB, Fectan-
  42. eto ABC BI, a guadraco BC simul sumpris. Peaque dempeis communibus qua-
  43. deaco AB, ee rectanoulo AP C bis, aegualia remanene quadracum BC, _ reCtAM-
  44. gulum BC e GlaleAB. DC.Cmes Crua Proporrionales. Suo etae
  45. deonulandum.
  46. Alter.
  47. n

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0117?run=74