Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 3, fol. 2v

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: 0.74.

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. 3r); this page is its left half.

The machine reads it as

  1. Eademarte dabitur modus aequationem datam attollendi ad Cbos
  2. eam cujus eadix sit (ubus datae: hoc modo:
  3. sit aequatio data: X = pX + gX VX +5+ aequ. 0 eritque multiplicati
  4. X8 + pX 1 p X
  5. 44
  6. +p + p X +DpqX qX
  7. X pX pX +paX +q X +qPX +YX rsx + 58
  8. X + pX + p X ApgX +9X+ PYX + r6x + YsX +s
  9. X - pX3 +gX = YX +s
  10. X2 + pX + P X piXD XrX +rBX + BX5 +sR+
  11. -p - p Lp opa - pq -pose - pr - p) A - psoX X
  12. 19 +pa +pqs +pus + 96 +9r + qY +973st +qs
  13. =B. - pr
  14. et. it
  15. Iuro d video hoc modo Jam non omnino procedere, sed adhuc aliud quiddam adhbendum
  16. sit equalio X + pX + 4, quam volumus attollere ad X. X. X
  17. x+ . Xa + pX + CX +dX + e
  18. Cuqu. p 9
  19. X _p X + 4 aequ.0
  20. XB + PX + CX+ 1d2X3+ C =X
  21. d’aqu. p pu pX p ape -pa3 - pex
  22. e’aequ. 9
  23. e aqu p d3 - pa t 9 X X
  24. aequ.o
  25. 14 +P +C +9d tqe
  26. X
  27. Erpo a agu: P4+H ap. 4 ) laque fir: X + p X + p X +p 9 + 9
  28. p +9
  29. Ergo denique C) aequ. +94
  30. p aequ. p
  31. caqup 4
  32. 8 aqu et
  33. a 1t e +
  34. Claqu. f- 453
  35. vel flaequ 4er
  36. btu.
  37. pr
  38. e
  39. X + pX+ C X + d X + ek 1f X +9
  40. X - pX + q X _B
  41. X) + pX +CX + dX +C X + G X + gX
  42. a’aquie +pgq
  43. -p -p -pe -pd -pe - p9x
  44. 19 +pq +9c +9 19e +95 t9g X
  45. -B - pr - et - d37- -13 f - rf
  46. Erugo e +pq9- pr paYq aequ- puast r + pe tepi pr p
  47. Ergo C aequ pq +q+ pY, pq p 9 +p r = 4r, pr pe
  48. 2pq r- qu p 2 + p g
  49. C’aequ. p- q. e aequ. pdgC + pr. faegu p d= pgc + p73 - Gd + p r 9r3
  50. gipr + 94 Ergo e+ aequ pd - p g. + gt + p. V3
  51. faequ. p d3 - p q + pqt p r3 - 9d3 (+ pe r7 - g r3
  52. daqu prd
  53. I
  54. seu ee C 8aqu. PYd-pd
  55. rursus g g aequ. va= paY+ qV Dr6 - p9d + p 9= q 2p9 7 9 d + 93
  56. Ergo prd- par +4p qr+ 2p Y aequ 2paerd3 +r + 2p qN- p 9d + p 9- pgtdA.
  57. Ergo d’aequ. 29er3 + 2p p r6 + p h 46- p9 + 4 + p aer- a pi gtr.. rp 6
  58. pr3 - 2pqr + p q- g
  59. Papi f
  60. Eupe ps. qn

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 3, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068216:0004?run=74