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Leibniz-Handschriften zur Mathematik LH 35, 5, 27, fol. 11v

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: 0.79.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 10r); this page is its left half.

The machine reads it as

  1. intersectionem duorum circulorum calculo referre ad
  2. rectam datam. sit Recta positione data transiens per punctum P. et
  3. sint duo circuli centris E, H, radis positione, radiis
  4. vero EH EY. HY, magnitudine datis, qua datae
  5. Datae erunt DD, DE. PG GH EY HY Quaesite PX. X 1
  6. quas ombinus. d 5
  7. 8
  8. s- 25y + yy XX - 2d X + dd aequ. ec.
  9. + XX - 2CX + cC aegu hh.
  10. quas aequationes a se invicem subtrahendo, fiet
  11. similiter
  12. e
  13. ssumm
  14. qaematur quia EM + MY aequ. EYy et EM aequ ED - X Y seu f- y.
  15. et My aequ. PX - PD seu X d fiet.
  16. 99-29y +yy
  17. -g9 +29 +ic
  18. compendio Ce -dd - b2 + CC = ss + gg vocemus: l. fiet: - 2 1 y - 2 d X rgo
  19. +2
  20. (12)
  21. 2c
  22. pursus XX aequ hh + 2CX -cc = 1) g-y
  23. et fiet:
  24. 120
  25. Ux + 25Xy aequ. 2chh + 4CCX + 2C3 - 2dhh - 4 cdx + 2aCd-
  26. et ryu cq axase
  27. + n X ay. +my +n
  28. IXL my
  29. Se. XX ry.
  30. +s) = 25 7 -2d X +equ. 11 ) evolatione quaesita describeretur Sed cum ad rem venirem, deprehendi hor
  31. (3
  32. Ergo - 25 xy - - d XX aequ llX. seu XX aequ UX +25 Xy, C +2C -2d
  33. E
  34. et dd
  35. + cc
  36. 1t su ead

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 27, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068045:0022?run=73