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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 42r

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. 41v); this page is its right half.

The machine reads it as

  1. da = dP +. Ergo dda (= + da P + dP dF) = f, dd P + d P da + d P F da
  2. aat.
  3. At : 14
  4. e itaque dda di = da dd P + d p da + da dp
  5. da idpr
  6. Resumamus: da = dx:r da = dt: p F B(= sAx: -X ergo d 3 Z lx:1- X
  7. 1
  8. ) line sic;
  9. jam C = 1 -X et ade = + dx. Ergo d B= - dx: C similiter d - dr: Y. Ergo per 1 et 6
  10. fiet da: dP = dx: - dr, jam dx: dr = +: 1. Ergo per 2 et 8 fit da = - dP. f
  11. Ergo cujus diffralis est ada = - ddP t = di dF. seu ex 2. fit dd a = dd P. + - d p da - dP t da
  12. in qua seg. po b substiluendo valerem ex oy. 9. fit dd a L - dd . da: dB - d P. da - +P d: d
  13. seu dd dda d = + ddp da = dD da - + a3 ubi cum quaeritur a ex P.
  14. faciemus ddP =0 et fiet, dda il = - dP da- da sed cum quaeritur id exa
  15. faciemus dd a = 0 et fiet de dp + da = d d p
  16. si C+51 = - dt: t
  17. da = t: 1XF. Ergo dst: da = - 1 F F 1 + = - 1. t - t
  18. n f33 B+ sC +. sit arcus a, siu
  19. ratis
  20. 3
  21. i arcus a sium retus r, fist a = r += 4 5 X Cc pua - Y. + t rr A + B+ rC eu
  22. M arcus a, sinus versua, tantur l. filt a = A + =P. Z
  23. Si nilus capiendus in ratione data ad alium arcum opumetem l. florda artus dati N, et arcus quaesitus ad
  24. arcum datum ut n ad 1, et erit argus quasiti horda oS + 1 nn V2A + q- nn ~ B + 2s nn VC er
  25. ubi si n sit namem impao series desunt esse infinita, et prodit aequatio eadem quoe prodit per vulgarem Algebr
  26. Ac
  27. 5. 2sC
  28. sit ratius 1. alicus a tanguns 4, quadrantis 1 arcus 9, et 2a -q = e et siet
  29. ad mult plietadum datum angutifuali per numerum n
  30. 51 = e r GC +7 +61
  31. 5040
  32. 25.7C
  33. 17

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 42r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0083?run=39