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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 97v

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: 0.83.

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The machine reads it as

  1. ope harum aecquationum restabunt simplices 10, 1314, esc.
  2. ce
  3. stabunt et simplices, quamqalviram valores, et destruantur
  4. fingantur lolinem novae sem simplices, quot est opus ad tollendas
  5. 10, 11, 12, 13, 14, Earum ope tollantur insae lio, dir etc.
  6. restabunt 10, 11, 12, 13, (4, hoorum quaerantur gatores, qui erunt
  7. reddende identici seu aubiles ope tam assumtam iterarm
  8. arbitiariam in fictitis seo equationibus quam ope ipsam
  9. aqua arbtiariam ad mulhiplicationem assumiatum
  10. cum scilicet multiplicaretur aequad 2
  11. Ilya
  12. 100 + 110y + 101 dy + inory H e y aequatio data resorvenda ast
  13. sumatu 2e0 + rioy + 3oidg cujque tam habetur polutio metiplicetur per
  14. Asumatur ny et fid gede + +ny +ndus, hoc multiplicetur erfy
  15. ul y an
  16. fiet (B gm + m + fny + fndy + gnydy + gngy =0
  17. hoc aequetur datae fiat ntd dueo
  18. + funu
  19. agmys +gndu
  20. et gn = I1I, et fn = 101 et gm = 110 et fn = 100
  21. habetur n costanti
  22. +gangus
  23. f = 101 :n ergo un m: n = 110 seu m = nOn : W1 et 101 m: n = 100
  24. sed ita res nimium determinatur F sit n+ dn -0, erit n constans ut dixi
  25. y = CH : n
  26. et aequalio ert fn + comus +fndy + gnusdus ~ 100p = 10 sy + 101 pdys + II py dy
  27. fiet p = fx p = gn: 11I Ex defit fn = 101 gn : 111 Ergo fg7 g = IU1f: 101 et p- (1d n fu.) 101
  28. dy
  29. Ex yfit am = Uop seu IIfm : 10I = 110Fn : 101 eu _ m: n = 116: 11, superest
  30. fp = 100B seu (n = 100F1: 101 sud ita fieret 100 = 101, quae praeparatu an sit
  31. postibilis videndum sit 200 +210+ 201 do + 11IVdV, fiet v = fx+1 et
  32. 11. 200
  33. 210. I1 20 dfy
  34. duc (dy ds. V + fdys + du
  35. ergo prostat collere dis 20183 pe C99. fm + 9my + fn dy + gnydy =0
  36. 11d1
  37. et o 100 +10fy + 101dy + 119 dy fit dus = fm +gms, :, fn + gny sed ita
  38. mulplicatio evanescit. Ergo resumatur in + (1 + du) y = - dy = 110 410y, : , 101 + Iy
  39. sit 10im + 1 my. + 11I (1+ du) gy C = 100 + 110g ie non procerit
  40. +(1+ du) 1017
  41. si elbet m Allumatur in yy + ny + p et sit in constans
  42. et fiat mgu + ny + + p + ny Q + mgy + gndus f29m ydy C7 00 Aicoy + rat 12099 + 11 dy F 111yd
  43. qap tgany tam gy E
  44. qu = 101C gm = WII. 2A fit 9 = 101: n X IZ: 1
  45. et m : n = 2. 101 : 111
  46. seu fit E = 2m, : 2. 120m uam et 9 = 110t - n, : du = 101 t. n. seu 1otn - nn = 10lF dn
  47. rursus q=. 12 c = m, :dm = 1nF: 2m et fit 2. 120t 2 m = 11 tm
  48. et nusus t = nM, :, non - 101 du, ubi pro quia n = 2. 101 m: 117 = Bm,
  49. 2.1om - iIdm 11oBm - 101d Bm - 101 Bam, ubi B cognita ita videtur plena haberi
  50. Asmmi
  51. liet mm
  52. porro p haberi pd pro 0
  53. solutur, quia feliciter evanescit nm umo reperitur am: in fieri=
  54. 52egu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 97v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0194?run=74