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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 113

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: 0.81.

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

The machine reads it as

  1. i0
  2. verta
  3. SC
  4. iama
  5. i erile
  6. tl.
  7. cudi.
  8. lium
  9. males.
  10. cinua
  11. CCXta,
  12. 20
  13. cUEVI
  14. dein-
  15. nibus
  16. E OMEFRICA.
  17. CD ad DF, de DF ad F C, _C. est aureni AB ad BE, vE a AC ad B D, hoc est ; 1bid.
  18. in rarione duplicata AC ad B C, _ CD est ad DF; ve BC est ad F D secuinda
  19. ad quartam, hoc est inracione duplicata BC id BD, hoc eA AB ad BC, ersX
  20. illa progressiones
  21. demonsteandutms
  22. imiles erunc, ec inracione duplicara AB ad BC. Ouod erac
  23. 5
  24. C1X
  25. Ulde pos ploscoloraque AB, BC. L.F1, dol. C 6,l
  26. Lex alcern illa divisionenaca, cerminum hrabebic cundem in magnieu-
  27. dinc AC.
  28. Viac SL aQuact AC, a CapTAML CA Ca ML ES LF, MT, 1Y
  29. DOT, ac. qu LGHalCS HHE Continue proporrionalibus B C: BLd, L D, L F, _C.
  30. CrUnCISICUE SL) LM, MN, NO, _C. ipliSquoque AB, CD; BR, FD, 8c. Xqua-
  31. les; cum enim EOTA A C, S T, _ ablata BC, LT, aequalia sinc i necesse est criam
  32. reliqua AB; SI. esse xqualio: _ cursum quia cora BC, L. T, _ ablata BD, H Y
  33. aqualia sunc, paret quoque religua C D, LM aequalia esse. Similicer octendam et
  34. BE ipE MN. D F ipG NO, acque ica in infinicum, reliqua reliquis xqualia cHc. C
  35. soreraque progressio A e C, prosretsioni SL, LM, Eequales Tunc simut sumpEX
  36. _ quoniam SP, L P,MT, _C. aequancur continue proporcionalibus AC, BC
  37. BD, Rc. etiam ip(ae erune continuxe bideoque SL, LMI, MNV, _C. Tunc concirux B L. huivs:
  38. proportionales. acque ica sine termino concinuacurracio, S I. ad I. MI; CrgO PTO.
  39. retsioc SL ad L M, cerminatur in Y, huc consticuic magnicudinem S Y: quare c7d huins
  40. cum veraque progressio A d C simul sumpea, aequentur progressioni SL, LMI
  41. eciam consticuene magnicudinem ST, hoc est AC ex constructione: cundem igi-
  42. cur cerminum habeane in magnicudine AC necesse est. nam A diversoS habeane, TiHC
  43. illi Y ec Z. vel inter verumque terminum Y, Z. Supererie media quaedam maoni-
  44. cudo, que ad neucram seriem perrineae; vel aliqua crir magnicudo, verique lerieicom-
  45. munis, exieque Z. terminus seriei A, ex Y terminus seriei C: neurrum aurem Aeri po-
  46. ecst; nam primo daco, consticueret veraque series magnicudine minorem quam AC
  47. e potico alcetos maiorem quam A C. Duod verumque repusnar modo demonitrats;
  48. non ixicur diverloshabebunc cerminos dicts progressiones, sed cundem: quod crac
  49. demonstrandun
  50. eROPOSITIO CK
  51. IIdempolicis, seminxe prosress L1D, VL, _CD, OF CL a
  52. lectionenax, communis reast, Ialcudinem AC; diuidee in
  53. racione AC adBC
  54. Demonstratio.
  55. DEF PFXCCdENEEM POnaEuF P CNC communis veriusque cerminus; quoniam IuF
  56. miles sut proretsiones A ee C, erir roca series proeressiotIS A, hOC eA A P.
  57. B. oto

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 113. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0170?run=74