Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 143v

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: 0.81.

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. 142r); this page is its left half.

The machine reads it as

  1. + p. Y 4 aq V 4 ar 0
  2. PV tact
  3. y (- p y) + aqu - ary 2
  4. + - pt u. +p.. - pary
  5. +ac.. - acp. + acaque. - acaY
  6. faciamus. e paq erit etia quartus teminus p0
  7. acpi paq- aer
  8. in = ar-
  9. pessit esse qumntitas affirmativa,
  10. Jam ut ut sit age pt. +an paae Mn:
  11. P-p tar (pagf. sivc
  12. Jum necesse est, ut ut termini quti nitii pars quinta quadrata aequetur
  13. parti Stae Ormini quinti nempe C
  14. est antem D1) . p ar + ar paque 2aq (sive -p at + arque paque
  15. aq
  16. O7 aq - p + aer = paque (aqp p +ar (paque
  17. 1
  18. et C si H P- rar p aer
  19. 25 p2
  20. Sp
  21. P
  22. -p’ at + arg- paque
  23. 6D.
  24. sive pl arp + ar 15, C P at parue - p a qu
  25. Pocumus g. abesse in aequatione data, et atque Y signi esse contrani
  26. erit Lep ta et P e fiet: P ++ arp + a - arp.
  27. et sivep
  28. si pare fiet: sed sine his, s ar + 3ap Y + 9d e dP - +
  29. et YF = 3 p + p3
  30. 2 a
  31. hic r fl . 3 + 15 p
  32. debet 22. u
  33. 242
  34. L
  35. 292 RV iP esse quatitas affirmativa,
  36. quod vero verum est
  37. Nota; si abtit 9 et aequatio sit m cubua data sit intractabilis, debet esse
  38. Scribi RF -r pro signo aequationis quantitatis ultimae, quia signa terminorum
  39. secundi et ultimi rebent esse contraria, et fiet R ( +3+ 15 p3.
  40. et debet Y A R
  41. P P, sive 3 f 5
  42. 24
  43. 24
  44. -p esse quantitas affirmativa
  45. quod vero contingit ponendo + B +. quibus positis conspirant omnia ad absolutionem
  46. problematis. Quemadmodum hoc quoque evenit, ut si modo p. sit integer sit
  47. utiu major untate, sit uti vel cata binant tabe sit aequatio: y pus + ac po
  48. impossibilis itaque radix quae invenietur, non poterit ipsi imputari. Ut jam videamus
  49. possit praescriptus haben valir ipsiu R. Utarum aequatione illa uno termino Carende, unom habente
  50. arbitraricum, ex data facta, quae ita stabit: COZ, -48 +3bm- 12m Cd
  51. (3 = 1X = 12. Bo
  52. Sed. hec paulio difficilior tractatus Malim ego sic procedi.
  53. faciendo CB V+ d fei V + 3dv + 3 Y
  54. = 49.
  55. +36m
  56. 12m
  57. 15, + 1a 4 - 96 m 124
  58. Rrectius explicabimus: pso et adeq
  59. 245d
  60. g6 M
  61. ino
  62. mam
  63. +homd
  64. -12n
  65. 1 l2m3
  66. seperest

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 143v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0286?run=74