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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 172

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. m m 11B .
  2. 18. verois
  3. CTR CNLVS.
  4. Demonstratio.
  5. Voniam BD, lince iph D A sune aequales; veluri et
  6. Let D, rectis D ex hypoches erunc reldux HB, r0-
  7. sduis F A aequales. quare A E F rectanoula, rectati-
  8. sulis BFTC aqualia, hoc est quadrata HI, quadra-
  9. cis E B: aqualeS ISITUE TUNE P B, FII. Quod demon.
  10. eandum fuic.
  11. eROPOSTTIO IX.
  12. circulo LDC, cuius diameter AB, _
  13. Secucrum P circum scriptum quadracum C F;
  14. Det AF ve diametro, deleripeo circule
  15. LHE, percenerum F, linexe ponanturHI, de
  16. per l parallelae rectae AF, occurrentes FC, dia-
  17. metro quadratiin L, rectae vero FD in H.
  18. OniuneuntuE H, A; _ reCX R L, secenc
  19. AB, diametrum in M: Duonia LR
  20. lincx, cangenei GB aequidistanE, CrUNE TM.
  21. anormales ad diameerum AB, acleoque inguli
  22. TME, angulis F IT A aequales; sune aurem d
  23. TF. M anguli, aequales angulis TIF. A, ad rer-
  24. cicem policis, _ F. I linca, x quales rectae DA;
  25. triangula igice TTF A, criangulis IMB lune
  26. aequalia: vnde HIF, lincis RNI, STIA, rectis
  27. ML aequales. Rursum cum L. MI, linex CB X.
  28. quidistene, eric ve GB id BB, ita L M, ad
  29. M F. sunt aurem GB, BF aequales, erBo et
  30. VM EM aequales quoque sunt. Ouare cum
  31. ARI hOC est E B, lineis F I, _E FCCtA LN
  32. ipsiSMF, id est FE, ex demonstratis sine aequales; crune FII lince, ae quales rectis
  33. DICOHL, IEL lineas ICeF se equales eNse.
  34. Demonstratio.
  35. C. K, quol fuic demonstrandum.
  36. 15.t V
  37. PROPOSITIO Z
  38. Dico duasillas Pele orthoxonalicer decussare.
  39. Demonstracio.
  40. Vod siper circulorum sele Secancium centra, recta ducta (ic, quam
  41. alcera incerlecer, sectionum puncta coniungens.
  42. let Cs coletistio
  43. des
  44. Int enim cucculi duo aBC. AlB quocuta
  45. centra F, Fs coniunsac FF recta: _ puncta
  46. incersectionum, recta AB, OccurrenS F si linea
  47. D in G, oporcet ostendere angulos ad Crectos esse.
  48. ducta LiC normalicer ad AB, lecta cric ABbI.
  49. tariam in G; Ced recta gua ex C ducieur, ad F
  50. centrum, diuidens AB bitariam in circulo ADB.
  51. cidem quoque AB orchogonalires inliltic, pacee
  52. iBIeuE
  53. Ai u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 172. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0229?run=74