Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 943 · Tschirnhaus, fol. 88r

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. 87v); this page is its right half.

The machine reads it as

  1. Admonuit idem comparationem aequationum a me institutam
  2. mnse dicto ae in actis mensis Maji hujus amni pag. 236. ess
  3. idebito rigorosiorem, qui defectus ut suppleatur instituaturq comparati
  4. quam generalissima, qua non succedente certi simus saltem curvae proposita
  5. quadraturum saltem secundum illum illou gradus theorema non procedere
  6. igura
  7. multiplicems e quationem 42Z - 8hZ et c. per b, ut silic et primus
  8. u ejus terminus coicidat cum termino aequationis unabus primo
  9. aequationis theorema exprimentis bZZ + caZ etc. et hanc posteriorem
  10. revocemus ad formam prioris, quantum licet, in unam fractionem redigendo
  11. id omne, quod caret litera Z. itaque fient aequationes comparandae duae
  12. Ex prion O bZZ + ca Z +3 LXZ 4
  13. ex prioe o= l.∞ 7 4
  14. 3
  15. X
  16. X bsih XX -bt X + + bX
  17. ex priore 0 = bZZ- 2bhZ x + hf9 - EtX
  18. +2a bec
  19. ’c
  20. ex postenon 9= b Z7+ca 12d X Z +
  21. +XX
  22. X
  23. +Gahes X + gnabs X X + 29 absy X + 16begX
  24. i aecde X Haaibeu XX - B aedox = 4 ddgX
  25. 2aas X = 3aacCG XX - 2adY
  26. cas xi
  27. + 4aabY +4 ab FX + 4 bg XX
  28. aaec =2a cdX = d d X
  29. Quae comparatio ut instituatur rectius singulos terminos comparandos
  30. etrobique designavi iisdem numeris. Et quidem coincidunt , et 1.
  31. at per 3 serit d = 0. Et per 4 erit 4aC abe- =0
  32. dde +Eg + bff -cd f = 4beque pultipl. iaaxX Ergo necesse est vel a vel e, vel be - cc esse = 0. Non a,
  33. 2
  34. alioqu ob 6 fieret bhh = 0 quod est absurdum sunt enim b et h data;
  35. ne) non be- ce, ita enim ob 9 fieret lih = 0; n
  36. memerit
  37. ergo fiet e= 0 ergo per 5 destructis ms quae ob e
  38. evunes cunt, fiet = 2acCf = 0, ergo rursus vel C vel f ert =0
  39. non f ita enim (ob d= ) firiet in 113 7 ob 7 fucit
  40. siquia d =0) fieret -bh = 0 quod absurdum. Ergo C debet esse = C
  41. sed nec hoc procedit ita enim rursus ob 9 (quia C = 0) firt hh = 0
  42. quod est absurdum. Comparatio ergo non procedit
  43. Alia ad huc ratione institui potest comparati
  44. in aequatie posserio bZZ + ea Z in pag. 236 mareat
  45. qualis est et in equ 4Z2 et Q itc dridatur numerator
  46. per nominatorem
  47. ag
  48. propis
  49. mense octoli
  50. artum sagenor
  51. propositur
  52. esc
  53. e

Cite

LBr. 943 · Tschirnhaus, fol. 88r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 79). https://leibnizlegible.com/page/DE-611-HS-867509:0177?run=79