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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 352

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. CL115
  2. Demonstration
  3. Tuita KI bitariam II DaUCatUT per O diameter HT: dein appliceeur ad
  4. F F. diameerum ordinacia PO. segmencum auterens aquale segmento
  5. AB: divih(que AB, AD bitariam in R ee S, dueancur semidiametri CTR I, CrSV
  6. iunsancurque puncta AC, BC CC, DG. Duoniam seomenta AB, BC, CD, DA
  7. per constructionem Cunex qualia, crune ec lectores AEB, BC C, CCD, AG D X
  8. 246. huius. Quales, adeoque A C B C a diametri coniugatx pexcere a cum ex const. GT, GV
  9. 650. bums. BilCCenEC CenErO rectAS AB, A Db sectoreS AC F, AC V, dimidia parssunc sectO.
  10. rum AC B, A C:D, hoc es Semielliplisslector isitur TC V quarca pars est ellipleos
  11. C46. huius. CrSDCO F, C V sunE conIUBAEX _E AB, AD lince ordinacim ad illas polIEX: isieur
  12. 2187. hu-
  13. 15.
  14. cum per constructione segmentum, PF. O aequalC SIC(COMENEO AT B, EIUC AFD:
  15. exic P O quadrarum bis sumprum, aequale quadracis AB, AD simul sumpris, 2dc09;
  16. P O quadeatum quarro sumprum aequale quadraris AB, BC, CD, D A. Rursum
  17. cum Ccgmenrum P O sIT adsCGIENEUM RI, vrd ABC ellipES ad circulum R L. NI,
  18. =188.hu- F, F, FII diamerri sunc e in X e O, proporcionalicer dimla, ad eoque FPO linca
  19. 15.
  20. C178. Lou-
  21. aequalis lincx KL. isicur ee quadratum K P. quater sumprum xequale est quadraris
  22. AB, BC, CD, AD. Ouoderac demonstrandum.
  23. eR OPOSITTO CCTII
  24. Sto ABC ellipsi inscripeum quodcunque polygonum regulare
  25. ABCD, EFGFT: duclaq; TK vna ex diamerris coniugaris rquali
  26. buS; desCTIDACUF CITCMIAS L MI N habens diamerrum equalem diamerro
  27. LK: dein circulo inscribatur polygonum regulare tor lacerum quor est
  28. Polysonum elliphinleriprum.
  29. Dico omnia quadrata lacerum poly goni ellips inscripri, simul Cumpra
  30. aquari quadratis laterum polysoni circularis limul lumpris.
  31. Demonstratio.
  32. 10.
  33. Paruantes L, C, ollipuae emompa cuc barsona regularia, eadem quip.
  34. Dc demostracio polygonis omnibus convemiet. in circulo L. M N ducatur diame.
  35. CeF NO sCCAnS LM, lincam bitariam in S; diameerum vero IR secet ordinarim
  36. linca PO seomencum auferens x quale legmento AB, cum ducancur semidiame.
  37. 60. ha- ErI TIX, A X, BZ, CX, item TZ, V X que lineas AFT, CB dividane bifariam.
  38. IHS.
  39. Duoniam sesmenta AB, BC. CD, XC. lune ex constructione xqualia, erurit s ee
  40. secto.
  41. ( e u u 1 . . s . Au nu n u u H . A tuttu a u u r pui i

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 352. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0409?run=74