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Leibniz-Handschriften zur Mathematik LH 35, 1, 1, fol. [25]v

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: 0.96.

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

The machine reads it as

  1. Puncta designabimus majusculis, loca
  2. minusculis
  3. circuli
  4. CX ~ CA x est circulus circumferendia
  5. planum p, quodvis plani punctum P
  6. Recta Cum in plano tantum versemus
  7. omne punctum erit P. omnium punctorum
  8. locus erit W
  9. Recta esto Y, cuius punctum quodvis R, quae
  10. faciat duo segmenta plani A nen, H V et _ (V)
  11. congruta. Sit sg in N haberi potest
  12. (1) in (~), + sit () R (9) in (V) ita ut sit
  13. H fq7 q.r ~ (4XY)
  14. in q
  15. sint A, B, C in Y e sint A, C, B in Y et
  16. sit AXB
  17. A3 B in _e0 ita ut sit _RC CX ~ CA ~ CB
  18. et moveatur AC in
  19. in Y sint A et C, et munente C moventur recta CM mobilis
  20. congruens ipsi CA, manente C immoto, moveatur ab A existente in Y
  21. donec redeat ad ipsam Y in B. A intelligatur idem
  22. fieris in (o) congruent et describatur AX B
  23. idem intelligatur fieri in (a) ubi et fiat A(X) B
  24. congrua erunt AXB et A(X) B et o
  25. erit AXB + A(X) B circuli ∞ circumferentia Y
  26. posito CY ~ CA, et Y esse X vel (X)
  27. sumto si sumas
  28. in recta A. R, dat habetur B, sic ut sit B. R ~ A. R
  29. AL + LM = AM crr L recta
  30. sunt A, L, M, in e recta et recipirce e converso
  31. AB V LM
  32. Recta AB eodem modo se habet ad A et ad B
  33. AB. A ~ AB. B
  34. nea
  35. extremo
  36. si recta uno puncto manente immoto,
  37. in plano moveatur, altero extremo lineam ircumse lineam
  38. describet quae in se redit. nam continuari potest motus,
  39. linea autem mobile autem non potest recedere
  40. a loco primo ultra distantiam quandam
  41. dimetri longitudinem, neque enim maj
  42. radii duplicati longitudinem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 1, fol. [25]v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067960:0050?run=39