Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 361 · Hansch, fol. 42r

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: 0.90.

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The machine reads it as

  1. Specimen Novac Editionis Euclidis
  2. in qua demonstrationes in suas proposi–
  3. tionum series distincte reholvuntur et nexus
  4. thesium cum hypothesi magis minusve imimediatus
  5. suis numers designatur.
  6. Sit demonstranda prina duodecimz
  7. Hypothesis di (a) sint polygora similia
  8. ((2) eadem que inscribantur et
  9. Ex gr. Sint polygona ABOFSHG
  10. et LRCEMK3
  11. er
  12. e
  13. t
  14. erit pro
  15. um polygonorum
  16. duplicata proportio.
  17. liametrorum
  18. inter se ut AFad FC.
  19. Demonstratio resoluta
  20. . Si potygona sunt similia
  21. 2. () arguli OBA RC) aequales sunt 2)
  22. ((X) anguli OBA et RC) aequales sunt (2)
  23. B) Latera OB, BA proportionalia late-
  24. ribus RC, L3 C2) per des 1. VI.
  25. Vipolygonorum proportio est duplicata pro-
  26. seortionis laterum G2) per 20. Y1.
  27. (B) latera OB, BA, proportionalia 2l erunt Ila OAB ce RL similia per 6. YI.
  28. Nducantat AO, JR
  29. 3. Sibiingulus C aequalis est angulo R
  30. (B) ducantur BF, et LC
  31. (V polygona inscribantur circulo
  32. I. Si polygona inscribantur circulo
  33. 5. Sipangulus BFA aequalis angule LC4 6.
  34. B) angulus FBA aequalis angule CL+ 4
  35. 6. Si omnes tres anguli cequales sunt 7
  36. Si (2)BA. L3: AF. dC
  37. proportio polrgonomm est duplicata propor-
  38. tiones dueta laterum BA, L3
  39. adeoque angulus O aequali R. 4
  40. anguli BF A ee LC+ nidem insistunt
  41. araibuss
  42. conseq. equa les sunt 6 per 2. 1
  43. anguli CL) et FBA sunt in semicirailo 2
  44. consez. Sunt recti 3 per 31. I
  45. conseq. aequales per ax. 10. 4
  46. etiam tertius BAF aequalis est tertio L7C
  47. per cor. 32. 1.
  48. triangula F AB et CIL sibi mutuo sunt
  49. equiangula S
  50. Conseq. Similia per +. VI. 9
  51. h. c. BA. L7 AF. +C.)
  52. etiam est duplicata proportions dia-
  53. metrom AF, 7C. 10.

Cite

LBr. 361 · Hansch, fol. 42r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 159). https://leibnizlegible.com/page/DE-611-HS-970483:0085?run=159