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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 305

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: 0.89.

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

The machine reads it as

  1. E L LTP 5IS.
  2. PROPOSTFTO CZIX
  3. VIncinelliph diamerri coniugare AB, BC iungacurq; AC cui paral-
  4. lela haclinea D E ransens elliplin in F, de occurrens diamerris coniu-
  5. aris prorractisin D X F.
  6. Dico criangulum E. D B crianguli C AB duplum ese.
  7. Demonstratio.
  8. X CeNEO B perEnctum F ducacur diameter BFTF,
  9. cuioccurrat in K recta C K ellipuim cangens in C,
  10. deinde exractu F ponacur ordinacim FPC. Duoniam
  11. AC parallela est exhypochesi eangenci DF, crie a ad
  12. diamecrum B F ordinacim polica. ergo RB, FB, IIB
  13. lune concinuae proportionales. ergo c eA veKB ad F B,
  14. AIC RF ad FHI. sed RB est ad FB, de criangulum
  15. KCB ad criangulum F C B, hoc est, quia d criangula
  16. CCB, EFB aequancur, ve criangulum E FB ad idem
  17. criangulum CFB, hoc eAt ve F B ad C B. IBIEUF VEFB
  18. ad CB, sC K F ad F FI. Deinde quia ex conAr. KC
  19. cangic, de FC est polica ordinaum ad BC, rectae F B,
  20. C B, GB TUNE CONEIHUIX. FrBO VE F B ad CB, sCFC
  21. ad CG. Sed eriam est veiam octendi, sicur R B ad C B
  22. ITa R E ad FTI. EFBOVE RF ad FHI, AIC F C ad C C.
  23. Ergoreeriangulum K CF ad criangulum F CFI, Sic criangulum F. F C ad crian-
  24. Gulum CF C. AEqLi CUM EOTA RCB, F. FB, aequaliasine, ablaco communi F BC
  25. reliqua RC F, B F C aqualia sUINC. FrgO ex F C HT, C F C aequalia sune; ablacoigi-
  26. cur communi FIC; aequalia rEMANOnE FIII, CTC quibus si commune addis
  27. BHTO, FGB aequabitur CHIB. Jam vero quia AC ordinacim polica est. velupra
  28. ostendi, ad BF, bilecta est AC in II, adeoque e criangulum C A B duplum est
  29. crianpuli CTIB, ec DF parallela ad A C criam BileCACUE in E: CA VCEO L CF, VE-
  30. Pore ducta ordinacim ad C B, Parallela ad C B, diamcerum coniugaca ipsi C B. ergo
  31. e BF. bisecatur in G. proindeque P F B duplum est GFB. Aequi CHB, F C B
  32. ostenta lune aequalia. Frgo ex eorum dupla C AB, F F B xe qualia lunc. sed criangu-
  33. lum DE B duplum est crianguli P F B, est enim D P bilecta in P. Ergo criangulum
  34. DE B duplum quoque est eriangrili C A B. Duod etal demonstrandum.
  35. 23. huoin3
  36. b32. huius
  37. erest
  38. d70. huius

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 305. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0362?run=74