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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 694

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: 0.88.

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

The machine reads it as

  1. SP + R A L 3
  2. Demonstratio.
  3. Ecangula A DB Merse candem habene piovot.
  4. cionem quam recle C D, ve Lostendimus in libre
  5. de parabola. Sed reclL P D sime inter sC vE rectae C. D
  6. cum line carum amlix: ergo de recte F. D (unc incet
  7. se ve rectangula. Ergo puncta F. sunc ad parabolam per
  8. propolic. 329. de Pacbbla. Duod erac primum:
  9. Cogicontur donn in parabola A C B duax este
  10. Cdx CC, in Patabola vero AF B reCtX P B,
  11. SiC D verigue MMICLIpEa lInE EraPeZIA CC DD RF.
  12. DO. Cacile ostehactur (quod brenicaris caula hicomic.
  13. e0) cor duci polle CACErOS C D ac rectAS B F, _ FOI
  14. Proinde Lraperia inseribi, ve lI aUFCFANEuF, ex veraque
  15. parabola relinquantur superticies minores daci. ACqui
  16. Tropexia parabolae AC B simul sumpea dupla lunc.
  17. Trapeziorum parabola A F B SimuL lumPearum, VE P2-
  18. cec ch elemenes cum lecta C: D dupla sinc rectarum
  19. auc Fuclidieo lib. 12. demontabi. LaMctaigItuE F Cunc ad parabolam quae dimidia sic
  20. prima. Cuodctat detohltalicl
  21. 68. D E. D ergo per ea quae in libro b progrestionum demonstranimus, parabola A C B du.
  22. pogress.
  23. Pla est Parabolx AF B. Ouod Facile etiam quivis Creometra Archime daeo discuru
  24. AP P L I G AVF V R CS D LD A
  25. LICTa IpITalEM A E. DB duCanCUFDC,
  26. C; F C, P. C Parallelae incersc, adc0
  27. quonormales ad rectam C AB, d bisc.
  28. cencurinpunctis F, F, 1, I.
  29. Dicopuncta PF; I,I ese ad spiralem.
  30. quae dimidia sic spiralis prima ac proin-
  31. decriam hic spiralem cu parabola Crm-
  32. Dolizare: Led hxc secunda lpira non erie
  33. circularis, ac elliprica. Ouod Furura
  34. Cc dimidia lpiralis primx eodem modo
  35. demonstrabirur quo in parabola. Ouod
  36. Fucura sic spixalis elliprica sic ostendo.
  37. ReCtADC, DC; F C, F C producantUE
  38. vlque ad pcripheriam circuli in C ae M;
  39. e bileca rectas C C in K. rectas vero
  40. NIC in N. Frunc punctaK, R; F, F. ad
  41. ellioim ve colligitur ex Archimed. 5. de
  42. conoid. Ouoniam isitur recte DC. luncad rectas FC, ve rectae GC 2d
  43. rectas KC, nam ex constructione veraeque bilecta TUINC. FrUnEpermU.
  44. cando e inverrendo rectx R C ad rectas FC, ve rectae CC ad rectasDC.
  45. Similicer octendemus rectas NC esse adrectas IC, ur rectae M C ad rectas
  46. E C. habec isicur sele quond hanc propricrarem elliplis ad spiralem secun-
  47. dam, vr circulus ad primam. Sed clarius adhuc ostendamus proposirum.
  48. Pet Archimed. 5. de Conoid. circulus C O est ad ellipsim K K, ve B P, h0C
  49. q et e epies et e ut ptat e e t tt t e A tat ste tt te te e e te tit a t t et t t t e t 1 1 s s

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 694. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0751?run=74