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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 273

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: 0.83.

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

The machine reads it as

  1. listane
  2. 1D
  3. et
  4. Iee
  5. perc
  6. 1
  7. recta
  8. E L L IPSIS.
  9. Demonstratio.
  10. Vnoancur OB, BFE, F A, AF, FTT. Ouoniam AB,
  11. GF lincx aequidictane, CrunE GB, 2 F A SCGMEHCA
  12. aequalia: sed G B segmento est aequale legmentum HIB.
  13. (nam Scomencudinex CFR B aequaEuT SCGMENEO FTRB,
  14. ee criangulum GB K criangulo HIBK) ex L A segmen-
  15. 100b candem caulam aequacur segmentum AI: igieur d
  16. TTB scgmencum eAt ae quale lcgmenco AI, ex TIIxqui-
  17. distac blincae AB, hoc ek FC. quare eocum legmentum
  18. OBHI, Equale eA cori legmento L AI: adeoque per
  19. pracedencem AC, BD diamecri in R ee I. Similicer
  20. lunc dinilx. Quod erac demonstrandum.
  21. PROPOSITIO LY
  22. Vellipsi data sic quacunque diamerrorum coniugario AB, CB, e
  23. iutSatuE AC, cui parallela lic quaenis E D, ex punctis aurem D, ec F.
  24. ducantur ordinatim ad diamerros DF, P HI, D G, F. I, cruncisitur EgurX
  25. ODFBG, EIBHI parallelogramma.
  26. Dicoparallelogramma illa aequalia esse.
  27. Demonstratio.
  28. Via per praecedentem B A, BC proporcionaliter
  29. Lsune diuilx, erie AB ad BF, ve C B ad BFT: _E Per.
  30. mucando ve AB ad C B, Sc BF 2 d B FT. Smilicor AB
  31. pet praecedencem est ad B L ve CB ad B CF, ee permu-
  32. cando ve AB ad CB, SC BI ad BG. ergo B F cst 2d
  33. BTI, ve BI ad BC. orgoeparallelogramma AC, FII
  34. aqualia lunc. Ouod ctac demonstrandum
  35. e
  36. D ROPOSITTO IT V
  37. 10l
  38. Aester
  39. InE AB, BC diamerri coniusaces innetis pun-
  40. Dais AC, ducacux F. D pacallela rectae AC
  41. cum ex D e E recte ponantur E L, DF, B C, F. H
  42. Ordinarim ad diamerros AB, C B, iungancurque out ciin c
  43. EB, DB.
  44. vctiluru
  45. Dico FBD sectorem, aequaritigura F IFD K F.
  46. Demonstratio.
  47. DEr praeccaencem parallelosramma FG, FII: a illorum dimidia, triangula D FB,
  48. F TB incer se sunexequalias ablaco igicur communi DIB, eric F P B crianoulum
  49. aqualetrapeZIO DF LL. quare addica AgUTA ComuNIVF. L DR E, sectOE EBD
  50. aequalis est AgUEA F IF D K Fi. Quod cracdemonstrandum.
  51. PROP OSIT IOILV
  52. a
  53. huins
  54. ins
  55. huins.
  56. d GL. haius.
  57. C2+ sex1t
  58. 1p16 53
  59. cclabe clbla clla ucltolce aB.L E Oddc
  60. aud parallelam ducere, que legmenrum auterat xquale lesmenro AHB.
  61. Mt m
  62. Coesltn

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 273. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0330?run=74