Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 368

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.

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

The machine reads it as

  1. 3.68
  2. DE CONCTNHA NDES
  3. inrerrendo d per convertionem rationis, ut quadratum AB ad
  4. per Cor. 19 Mdratum AB minus quadrato BF, ita G B ad BHI; de dupla-
  5. tis antecedentibus conrertendoque, ut guadratum AB minus
  6. quadrato B F ad duplum quadrati AB, ica B HI ad duplum iplius
  7. CB Icu BF ad BC. Ouod erac demonstrandum.
  8. 33
  9. TTinc
  10. Si. Fancens cujustibet arcus minoris quam 45 gr. ducatur
  11. in duplum Duadratum Radii; a Quadrato Radii auferatur
  12. Fancentis quadratum: illud productum dividatur per hoc re-
  13. siduum: Duotus erit Tansens arcus dupli.
  14. Theorema hoc a Clarissimo viro D. Joanne Pellio excogita-
  15. tum atque ingeniose adhibitum pluribus modis demonstratum
  16. reperitur in cractatu ejus de controrersiis, circa veram circusi
  17. menturam, incer ipsum d Clar. virum D. Chrictianum Sererini
  18. Longomontanum ortis, ac anno 2547 in lucem editis.
  19. IHI F O R F M A.
  20. Si fuerie criangulum ABC, cujus angulus ad B rC
  21. cta BD bitariam sic dirisus, _ ex BC abscindatur BF
  22. Xqualis A B, JunO2EUEquE AE, sccanSBD in F: dico,
  23. EagatuF F. C+ parallela AC, OccurrenS ipSI BD in C,
  24. essc uE B C+ ad BD, ita AD ad DC, _ ABad BC;
  25. nec non DC bis esse ad excessum, quo DC supetaL
  26. AD, Sicut BD adDF.
  27. Scries Analyseos.
  28. FAO BD ∞ b
  29. AD ∞ O
  30. DC ∞ y
  31. _D F ∞
  32. uoniam itaque trian-
  33. ILOTUI A BF, F B F 21 -
  34. ruli ad B ex hypothesi sune
  35. balIs-
  36. 5 per Coro
  37. ouinti, e
  38. Dide Cla
  39. quinti.
  40. Dium 4 22
  41. Quintt.
  42. e per 13
  43. G1ob1106.
  44. a per 4 pri-
  45. aequales, nec non latera AB, B F X F B, BF, quae iplos compre
  46. 1td.
  47. hendume, aequalia: crune deAns et Laequales, id est recti,

Cite

Ps. 2, fol. 368. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0392?run=74