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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 4r

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: 0.76.

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

The machine reads it as

  1. mo video exhis
  2. AC, C
  3. EC v.
  4. BB, P. H
  5. PC
  6. BF, v-GF:
  7. s
  8. non possenvam
  9. GF: y - BF
  10. J. CG
  11. aege.
  12. A B X
  13. DC
  14. G8,S- eABX+P
  15. y: p :. . B: (-C: X + p
  16. t
  17. sec
  18. a
  19. Xx +yy aequ4
  20. XX + BF aequ. VV- 2VGF + GF
  21. yV + pp aequ. ss.
  22. VD +ss. 2se+ ee aequ. XX + 2Xp + p
  23. ee +GGF aequ. yy - 2yBF+ BF2
  24. e BFaequ. =GF. rursus YX Xy-XBF aequ. ve = eGF.
  25. C
  26. erit BF aequ Xy + e GF - ve,: X. Ergo XxGFaequ exy+ ee GF. vee
  27. seu GF aequ Cxy - veC : XX- el et BF aequ XXy-XVe, Xx ee
  28. 1II
  29. R SV aequ’yx +yp. seu s X aequ. sv- yp: y
  30. Dv aequ ys-ye, seu ppoo + 2pyev Lyyee aequ. yys seu rypp +y
  31. Ax tpxppaeqo suviyy aequ Peretgyvogu
  32. B Opus est ad huc una aequatione inter p. y. V. C
  33. ruteri sed (pro x substituendo valorem in valore ipsius GF, erit
  34. aquave
  35. stantos
  36. a CF aequ. esv eyb - veei (nv- 2 (py ∞+ yorv: yyy- et
  37. senimdatur relatio utere et D. debet p salceum ex duobus haben, e et y
  38. seu GFaego erysv. p-gybee: for-2)vyp +. X7 pp - y7 et
  39. quia
  40. Et GF: e
  41. ja
  42. , fiet syso-yp. yue aequ. Pssvo- 2 sypp +yyp= yyeep
  43. D. C
  44. et pro ys substituendo valorem pr+ye, et pro Qualorem yu +pp, fint.
  45. vyy +vye- ypyve) aequeprpyy v-EDP- 2 epp tyyp. yy ces
  46. s
  47. e
  48. seu fiet febse aequve yt+ yypp aequ. vrpp +2vy ep +yyee
  49. c
  50. e
  51. seu y Syytpp aequ. vetge seu ys aequ. pvaye quod jam sciebamus.
  52. pr
  53. . v- GF .: p: s. seu BF aego PV- PGF,: S aequ X GF
  54. unde nihil hinc discimus noti.
  55. Ergo aliter.
  56. aequet sv yP,: ye seu poye aequ pye +sv -sy, GF seu:
  57. GF aequ. pvye: pye+Iv- syp. et pro sy substituendo valorem potye
  58. fiet pyY pGF ago Pvye: pye + ppV+ yyv- ppV = p7C sou Gfaego Peas
  59. Nova ergo aequatio, adhibenda haec est, quod xxtyy aequvn + ec.
  60. Unde nihul discimus
  61. Est autem XXaequ. Svv = 25VyP + Gy pP,: yy, et fiet Nov-2swyptyyppty aequvoyytge
  62. et pro ((substituendo Yy +pp, et pro sy ponendo v0 +ye. fiet:
  63. ouy (2ppor-2prye Lyyppty aequlovyetgy ee, quam componendo
  64. e
  65. 4
  66. us coincidit cum
  67. cum enu fiet. yyec + puonaanvge quae aequalio
  68. sufficere ergo debet aequatio (.
  69. aiqu. D unde nec hina aliquid novi
  70. A
  71. nosdiberes

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0007?run=74