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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 426

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.

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The machine reads it as

  1. Constructio e demonstratio.
  2. P1. titrite
  3. uH quod pecitut. aela pel A ContinsencC A F, ducacux linea per B ee C
  4. convemee illa cum A F in puncro quonis F: si enim non conveniac, aequidistet
  5. AF: ertetsttur CB, ordinaciem polica adaxem AF. in parabola AB C X quia in F.
  6. bislecca cst, in BDC Palboa Guogi ordinacim eric ducca; ipsique D P. diamerro ad
  7. ansulos rectos. isirur D E. axis est parabole BDC: quod est contra hypochiesimi
  8. CONCUEFCE ergO CB, Cum AF in puncco quovis F. PONATUT ergO ex F linca FD.
  9. concingens parabolam BD C in punceo quouis D. Guontam AF est concingens,
  10. Excauem. in Parabola AB C, linea F B, F F, F C 2 proportionales lune, led e in parabola
  11. BD C eadem luncproporcionaless punccum isicur D concingencis D F. 3 b in diame.
  12. EFO CI D P. Rurlum ducacur diamerer quevis alia C FI occurrens parabolis in C
  13. _ FF, _ B C. linee in I, accaque per C Concingence CFK, qux cum B F conveniAE
  14. in H, ducacur ex K linca K II, concingens parabolam BD C in puncco quouis FI.
  15. Ouonlamisitur CFK linea concinsit parabola AB C, rectae K B; K L, K CC continux
  16. Proporcionales lune: Sed e exdem quoque sunt proporcionales in parabola BDC.
  17. isicur EI punccum concingenris TIR. in d diamerro eA ITI. ipicur componendo
  18. cum A, D puncca daca linc agantur per A e D; contindentes; quae conveniencin
  19. puncco quodam F. duccaque diamerro quanis CTHI; aganeur per C d FI, concin.
  20. gentes que etiam convenienem K: ipicue daca lunc piineta F, K, P; I: Quare e
  21. data erunepuncca B, C: gua in siR. linca esse per resolucionem ostendimus. iricue
  22. extribuimus duarum parabolarum CBC3 BDC incerlectiones: Ouod etaE PPX
  23. Aandum.
  24. P R OPOSITIO CL.
  25. Acet (CcenEsele pataDola dux ABC, F D F inverse posirx, habences
  26. Laxes paralletoS. OpOrter C d H, puncta incerlectionum extribere.
  27. Constructio ex demonstratio.
  28. sIE F. DF patabole axis D B, d laccum sic quod pecitur: acCaC LL L MCA AC
  29. Ibid.
  30. 1 2bid.
  31. lecrionum recta CH, qua convenier cum AC in puncro quouis J. S enimnon
  32. conveniat, xouidister AC. reccaisicur OFI in parabola F DF, ordinacin posi-
  33. tacltadasem DB, ad coque ee diamerrum B D in parabola c AB C ad aneulos
  34. Secacreccos, ce qua s HL d BB, McabINecta CA, recra B D axis est patabol
  35. ABC. quod est concra hypochelim. igirur FTC non aequidistac AC, sed produera
  36. cum illa convenie in puncco quonis I. ducatur ergo ex I recta IB, concingens
  37. parabolam AB C in puncco quodam B. quoniam ID recta est concirgens, linea
  38. C8L. huius. LG, EIP, FII concinX lu Propoctionales in parabiola P D F: sed de exdem
  39. quoquetun propostlotales in parabola ABC, punccum isieur coneaecus B li.
  40. MCA
  41. que E D E parabolam concingar in D, ponatur per C d HI; puncca incer
  42. e Defin. I
  43. uius.
  44. a ee e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 426. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0483?run=74