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Leibniz-Handschriften zur Mathematik LH 35, 6, 1, fol. 17v

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: 0.80.

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

The machine reads it as

  1. iaa = dy: dX = n: fit XX + yu = naa. Ergo inciditur in circulu
  2. rgo 1727, eti (9) 2(4) centro A descriplos
  3. antumque opus est motu tali, ut duni
  4. punctum Y transit ex 2 y insys) simul
  5. circulatio vertigo sit tatis ut fial H(y)
  6. ad H y ut n ad 1, seu ut jam AY = an
  7. ergo fieri debet H (y) ad H y ut quadr. AY ad quadr a
  8. Xx + gy 2d7 = xdax + ydy dy: dx = 27: aa
  9. n-
  10. dx + du = d2 + deo (G: aa dg. ex = _ Z7 Y 1y. 2(y) = dcoz: a
  11. y
  12. Tallamus dx et du fit dy et y fiet dy = dZ dx 27: aa.
  13. seu 3d7 = xdx + y dx ZZ. 2a seu dx = 4Zd3: aap + y27
  14. et dy = _ Zd7: aax +yZ2
  15. e
  16. 2ug.
  17. qui valores substituantar
  18. in q. dx t = di +dco Ziaa
  19. restabit aeq. in qua
  20. X et y unde tollatur y ope cq. 22 = XX +yy, etfiet
  21. aequ in qua X, Z, a, dz, ded
  22. haec differentietur
  23. e collendo X et fet aequ. in qua nova in qua de
  24. AlX, et seu habetur, A, de, deo, ddzue, daco, a,
  25. ita andem tolletur X, y, ex dy.
  26. y-
  27. _ dyilx fy a du x
  28. du: W = vdx Wdy -ydu: W = dx 7 (:W
  29. seu dy - yvax = dxZ seu dy.dx
  30. ZF27
  31. XX+
  32. ye

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 1, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067956:0034?run=39