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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 185v

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.

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. 186r); this page is its left half.

The machine reads it as

  1. =aagy sGXX + ac gX + aa cC = 0 sit praestanda rationcilibus sampacibus
  2. X: a = 100V + 101a, :, 200V + 201a y: a = 3000+ 301a, : 200V 4201a
  3. seu X: a = 0. y: a = d. E fiet - na aa 8P + asaa b0 + acgat + aa cC = 0
  4. 84
  5. seufiet = aa DD +af + cg0Q+ c 2Z- 8
  6. =aa DD = aa, 300. 300VV + 2. 300. 301 aV + 301. 301 aa
  7. +af 6b = +af, 100. 100
  8. +C90Q-
  9. rcc94
  10. + 2. 100. 101
  11. +C9, 100.200
  12. +CCg 200.200
  13. + 1 109, 201
  14. 1. 101, 200
  15. + 101. 101
  16. + 2, 200. 201
  17. + 101. 201
  18. +201. 201
  19. Ex termino summo 20d ec + 200C 1009 + 100 af - 300aa = 0 haec aequatio divellatur
  20. in duas 200 cc + 200C. 1009 = 0 et 100 af - 300 aa =0. Ex priore fiet
  21. 200 = = 100g: C Ex posteriore fiet 300 = 100 laf: a
  22. et fiet 200cc + 200c. 1009 + 100 a f- 300 aa = 0
  23. aequ. 100 9) c - 100(9: 109 + 100 af - 100 af: aa) aa =
  24. Ex Termino ultimo fit: 201. 201 cC +201C. 1019 +101 af - 301 au = 0
  25. fiet 201C = 101g + 3 V(101g9 = 4. 101 af + 4. 301 aa)
  26. 2 201CC = L101g9 + = 101 gg - 101 af + 301 aa - 101g Y (0igg - 2. 10ias
  27. + L191g1C..
  28. 201C.1019 = - = 10199
  29. +iorat=
  30. -30aa
  31. 4. 3otaa
  32. + 10i af - 30raa
  33. Rursus Ex Termino medio fit o = 2. 200c201 CH + 101g. 20C + 1009. 201C + 2.10101a f. - 2. too goraa
  34. quod succedit
  35. seu explicando 200, + 300 fit 0 = - (2.100g. 201C = 100. 10199 (4 1009. 201G + 2. 10010145.- 2. 100. 301 saf
  36. Ergo 201C = = 10199 + 2. 101a5- 2. 301 a Vaf, : 9 = - L 109g + (. ..)
  37. seu (2)101g9 + 4. 101 af - 4. 301 a 1a f = (- 10199 + 9Y(.. .). Et utrinqe quadrando
  38. +1018 - (8) 101 af gg + 8. 101301 aggat = (101 9 4. 101 a599, + 4301 aag9
  39. + 16 10l aaff +1 6301 a f = 32. 101. 301 aa fraf
  40. sit gg- 4af = ah et ex aequatione hac fiet:
  41. +810i afat + 301 aa aki = 02 101. 301 ahr a taf 0
  42. 0
  43. seu omnibus divisis per ato, fit 105 af + 301’aa = 2.101. 3011 4f =
  44. seu 101 4af - 301 a =0 seu 301 = 101 faf: a sed hoc non
  45. licet, fieret enim 301: 101 = 300: 100

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 185v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0370?run=74