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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 254

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: 0.86.

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

The machine reads it as

  1. 1 112 11 1 1 1 1 11 1
  2. a + huins
  3. E LL IP. S
  4. d
  5. Demonstratio.
  6. DOnatur HL R ParaIlela FC, quae producta OCCUErAE
  7. L.C in l; cric ieaque HIK aequalis RI. Ergo, cum
  8. rectangulum BKD ad BF D, a cam habeac racionem,
  9. quam IIR quadracum ad quadracum A F, crit quogne
  10. BKD rectangulum ad rectanoulum BF D, ve IK qua-
  11. dracum adquadracum F. C: unde punctum I est 2d el-
  12. liplim, ee FIT linca perimetrum BIC, _ F. C rectam
  13. in eodem puncto inter (ecar. Ouod tuic demonstrandum.
  14. PROPOSITIO XVIII.
  15. Adem manente Houra, sine A BC ellipleos
  16. saxeS AC, BD, _ HIF diameter quaecunque.
  17. OPOTTCE Ex E vertus C diatellum educere, x qualem ipsi HF.
  18. Constructio ex demonstratio.
  19. Gtat angulo BP F aequalis anguluS BFF, dico rectam F. P Patisfacere pecirioni,
  20. productx enim linex HIC, L. L, Sccurrane actae per B concingenci in F _ C.
  21. Tungantur puncta FF, I. quomam auvli B F FT BF F POnuneuE aqualeS, lunE LU-
  22. cem _E F B F, F B C anguli rect a BF linca communis, PATCE FBF. G BR
  23. criangula, adeoque de lacera FB, B C incer se esse aequalia; unde _ HTD equidi-
  24. b parry. Aac FC, CAqUC DE FF ad L, SC FTF 2d TF, quare HTF, TF linex aequalesi
  25. PROPOStTIO XIX.
  26. Inex in ellips coniungentes extrema quarumcunq: diamerrorum
  27. incer se sui a guates a Parallela.
  28. Demonstratio.
  29. ECenE AB C elliplm diamecri dux quaevis A C, BD.
  30. dicoiunctas AB, C D, icem AD, BC, CNTCINCCFCC X-
  31. quales _ parallelas: cum DB, AC bilecta SnE in F,
  32. CFIE DE DF ad EB, sC CF ad AF, e permutando
  33. DEDF ad CF, AIC BF. ad AF. sunc vero ec anguliad
  34. F Xquales, similia igitur Cunceriangula DF. C, AF B;
  35. ergo ve DF ad F B, sic D C ad AB; quarE CUMDF,
  36. F. B aequencur, etiam AB, DC xquales crune. similicee
  37. octendemus AD, BC Equales eAse. Ouod exax demon.
  38. Arandum.
  39. LADPOSTTIO XX.
  40. Inec que da extrenmates diametri, inera sectionem equidistantes
  41. ohacu, equales quoque cruncincerle.
  42. hurus. ixitur ex F. diametrum cduximus, et c. Quod erac Faciendum.
  43. 7. hviuio
  44. Demon.
  45. es u u ei . ue u. e a rt ti te 1 e u pt eta p t t ste e t 1t. 1 1 sa s 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 254. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0311?run=74