Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 151r

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: 0.85.

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. 150v); this page is its right half.

The machine reads it as

  1. quaeritur uvae ubi avae ad unum focum propor
  2. tronales angulis ad alterum focum C, punctum medum
  3. inter focos F et V Et CX, X. XY, G CF, C
  4. GY cX G YH. X ob Tiiangula FKH, et Y D(Y)
  5. simila, erit FK: FH = YD: Y (Y) seu FK. Y() = FH. YD
  6. ergo. FH in ex = duplo rect. triangulo FY(Y). porro F
  7. FH = FGseuy = GH et GH = GY, ag- dx et G2t = c -X. Ergo
  8. FH = y = (C. X) dy: dx Et FH in dex = ydx = (C- X) du = dupl. Fy(Y)
  9. similiter VY = c+X, et H VG - 9 + yG. Ergo fiet Dupl. VYp)
  10. yx HCt X) dy id si dividatur per. VY seu v = 1(x+ 2x CCFgy) habibitu
  11. xdx + (C+x)dy: v = ut) jam ut investipetur angulus YI(Y) centro V, radiovC
  12. descubatur arcy secans VY et _VY in V et 8 jerit 8es ado (Y) ut vipseu c ad v, et erita
  13. 14= ydx + (ctxdus, c: vv quod si anguli proportionales areis crescunt
  14. fiet FH dx YG, constans seu ydx - (. X) dys, (00: C):, ydx + (et x) dus = cons auti
  15. sit jam Hoc generatim pro curva quaesita
  16. ponamus jam esse FY Z et VY, ~ et Z0 = hh
  17. dq = Zdv: v = hhidus: vnb
  18. 7do - vdZe 4v - vtz. Z du-htat .7
  19. qZ - yy + CC = 2CX+ Xx DD = XX + 2CX + CC + 9y 2Z0r = h7 ergo ful
  20. 47 = 3dy + X. l - R CdX, : Z
  21. du= ydy + X dX + Cdx 3: v
  22. = qu (gy + XX + c1) - 4 cexx 7
  23. dv: dZ = v: Z y hy +xdx + c dx : ydy + Xdx- cdx = v Ergo 3dytxdxt v0
  24. ydys +xdx-cdx Z2
  25. seu ydy +xdx +Cdx = XX + 2ext cetgu
  26. gay +xdx - CdX XX = 21X + CC + 9y
  27. gyrxx tec, ydy exdx = 2 cexdx
  28. Est et 2 Cyy+XX +CC) (Eydy + 2Xdx) = 8 cCX dx = 0 se
  29. bpe aeq. e tollamus dusidx ex aq. cd. prodibere debet aequatio coineidens cum 6q.
  30. Ex Zgely: dx = X (CC = gy - XX) : (yy+XX + C9 y
  31. lcrx C fit 3ax = ((Vv: C) . = h) y dx = ((oV: C) (C- X) + h setX)) dy
  32. quod duos valores
  33. aequando non veniet aequatio D. Itaque cro demonstratio Gregouana non succedit
  34. seu dys: dx = 3 (Bv: C) - hy,: (vv: c)C. X) + h(CX) Cassintana
  35. enon praestat quod ei tribuit Gpequius
  36. Quaeritu sedhace odum Mechanicus construendi curvan quaesita
  37. per regulam FY, mobilem circa F, procedit Tubus stylus Y
  38. Tubum Gieris is ventum violentum efflans instar fisente fistulae volantis
  39. ignioomae quan Germani Raquetam, Galli fusaam vocant
  40. repellet regulam circuntgetqus sed ita celeritates, in quavis distantia
  41. eadem eunt non per distantias crescentes decescent
  42. tec
  43. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 151r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0301?run=74