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Leibniz-Handschriften zur Mathematik LH 35, 8, 7, fol. 24v

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: 0.89.

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. 29r); this page is its left half.

The machine reads it as

  1. egregie memirabile
  2. sit BC, t, fiet
  3. a
  4. +: y:: dx: dy. Ergo =
  5. Hinc patet si detur B
  6. du
  7. ex A, AB, dam
  8. seu t ex x. reduci aequationem ad quadraturus
  9. inventu Cogartthmdrum nam (dx = log. y. Ergo
  10. et si datur AT ex AB res reducitur ad quadraturas.
  11. Hinc porro quia dy==. hinc pato
  12. es de
  13. si in aequatione inter x. y. d7: dx, detu
  14. et
  15. V et dy servent inter se legem homogeneorum (vel
  16. X et Lx) tolli simul posse du, itemus per
  17. e
  18. S
  19. adeoque haberi relationem inter (+ et X. adeoque
  20. rem reduci ad quadraturas.
  21. sit CT= C, fiet c: y.. Sdx +dus
  22. 2: dy
  23. Ergo si detur aequatio inter y: C et X.. vel
  24. detur aequatio in
  25. V est C, servent inter se lenem
  26. nec aliud praesserea sat adsit quam X.
  27. homogenecrum, res reducitur ad quadraturas.
  28. si ratio EC ad AC detur per A
  29. virendum an aliquid praestari possit
  30. EC: AC:: ax +dy: dextu
  31. dYx+y = xdxtydus. Sxyr
  32. datur ratio EC ad AC seu CL ad GLperX
  33. datur et ratio CG ad GL per X= seu ratio EA ad AL
  34. sed nondum hvc aliquid
  35. Et seu si AE
  36. deturrelatio inter AG A
  37. vel CG: Gt) detur ex AL res reducitur
  38. ad quadraturus ex supposita ciculi quadratum
  39. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 7, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068102:0004?run=73