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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 129v

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: 0.82.

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. 130r); this page is its left half.

The machine reads it as

  1. Rem nunc de in tegro resumemus
  2. orir ota o y
  3. 11 + 12 + 13 +4
  4. 21 + 22 + 234244y
  5. 31 +32 33 13y
  6. Unde differenttati
  7. H
  8. Quadratrix quaesita
  9. q. Naequ. 9, 00 X + 01X + o2X +03X+ X etc
  10. y, 10X + LIX + C2X + 13X + 14X etc
  11. 9, 20X +2IX + 22X +23X + 24X et
  12. 17 30X +3IX + 32 X +33 X + 34X et
  13. et
  14. erC etc.
  15. Ejus differentialis
  16. Ho +LL. oi VAllosaX H IHe AaX et
  17. L. n HII. praxt MF L IV. auX etc
  18. Ejus differentialis
  19. NH, 60X 10LX +02X 10XX et
  20. Naqu. 1. B, 10X + I IX +IX + 13X + 14X etC
  21. Duy.V, 20X + 21X + 22X + 23X +2 X. etc.
  22. 1X P.V, 3OX +3IX +3IX + 33X + 3+X, etC
  23. ese
  24. er M
  25. erit.
  26. ett
  27. l. II. III. _ sunt numeri ve
  28. (0) (1) sunt doti
  29. B. 1. sunt quaesiti 3 per
  30. et differen tiale in compendiosissime exprimendo fiet vM + at aequ N.. seu vaequ
  31. do.y + di. y + dc. y et
  32. hunc Caleula
  33. is veru haberta
  34. 0. y + 1. y + 2 y etc que coincidit cum aeq. 10.
  35. s
  36. stunoato jum o xgerallex halitur n possi absit 2 inbalitud adtus serul 1. que dum debentvincidere. Semper antem abest per ebrenm quod summatiax aoq
  37. Loco Aequationis 7. assumatur alia inqua V assurgat altius quae ita scribetur
  38. seu distincte Naq. V, CI. X 491X 46) 2N 4(0) 2X etc.
  39. v, () OX +() 1X + Cy) 2X + (1) 3∞B et
  40. et pro y substituendo valorem ex aeq. b. fiet:
  41. V C) 6 6) 6)
  42. (e) M - (1). 11 ML + (2) L aequ. N. quae rursus coincidit cum aeq. 3
  43. ut distincte explicetur, opere ipso perficiendum est
  44. quod
  45. sit jam aequatio data ad ordinatam V. et quidem simplex: (N aequ. V, (0) o X + B) 1X + C) CX + (I X etc
  46. vel compendio Naequ (0) V + (1) V. substituendo valorem ipsius V. fiet: () M (1) Lq. N.
  47. explicemus ergo aequ. 9nper aeq. 4) ut irdere appareat quomodo coincidat cum oqu. 4.
  48. Aliter promredi
  49. licet, tollendo
  50. quia Y facul
  51. Ergo coincidunt: + (1) F. 1 - (1) do (D 31. 2 - (1) d1 () II. 3- (1) d2
  52. N d. (0) V + (9V + (2) V
  53. + 231 a X + II 32AX + H3 N + 1H3 ++ X et C
  54. Compendio: Aequatio ad quadraticem erit Naequ oy +, Y + 2 Y +35 etc. concidit cum
  55. ayido
  56. = 1Dy. 1BIy 2tIVy: 3 etc seuto M
  57. v, (1), oX +() 1 X + (1) 2X H) X etc
  58. tollatur
  59. Rationarile
  60. nolixo
  61. etc
  62. e
  63. + I 21 a X + H 22 RX + IH23RA = 1V 4 fX
  64. C
  65. Aequatio differentialis N asqu fy do 4 ) der d + )d3 etc sente L
  66. (4
  67. fer et loco ry. 9. fiet e + (0), + 4 2.1y. + 1I. ~. y + I13. y. etc
  68. Naeq.
  69. + y, + I. 01OX + LIg2XXF IlosAX + IIoTAX etc
  70. y
  71. quae aequatioq debet coincidere cum initio proposita 1 vel 3
  72. Naq.) - (1)
  73. sed quadra trix initio assumta
  74. seu aeq. 3 erat:
  75. altius assum
  76. V N+Z 1 X + UI12 LX L MIBAX + W. +HX erc
  77. V3
  78. vero differentiallus Naq
  79. 0)
  80. 1
  81. seu compondio P.G EG439+4G aequ. N.
  82. Ejus diffecentialis
  83. corne orxroixtog
  84. nixatIl B3 KatB OX
  85. +
  86. +
  87. aequ. 3.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 129v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0258?run=74