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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 300r

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: 0.88.

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The machine reads it as

  1. Ad Acta eraditorum jannar 1692. paus 31. duaec
  2. M = aaZ : aa - XX -gy +7Z = XX - 73 + gy, : 2X - (B 2Z quae
  3. ubi Z et in sunt geminae, X et y sunt unicae a est constans
  4. sit XX - yy +72= va, et fint ex aequ. 2. multiplicando per crucem
  5. fict: 2fNZ- 2 Z= a -nod et differentiando fiet:
  6. 2X dy - 4Zd2 = adv - 2v dx, . sit Xx-yy = at. fiet va Z ah + Z per
  7. Et diffecentiando aeq. 7. fit adv = 2ZdZ. quem vulorem ipsius de substitutud
  8. eq. 5. Tolletur dz et fiet: ax - 2a Z = a Z = 20Z son per 3 firt a X + 2 atiqz 122 = 3 a Z
  9. Ex aeq.et ex plicando va redit 2ac k Z- 2ca 27 = d h F a Z7 - ah + 7
  10. 2X 49. 10 est an + Z2 = 34Z = 4X, : 2Z unde ex u et 12. fiet.
  11. 2a4Z X. Z = a 37- 7: 2Z = a 3Z. X: 472
  12. An sic brevius ex eq2. (it aa - xx - yu am et XX tyy = an
  13. et ex egu fiet raa Z X am + ZZ 0an- ZZ et differeatiad
  14. fiet: 2aa X Z= (an - 2Z 2Z = am+ ZZ 2Z =) an - am. 27 2
  15. sed an am = unde ope aeq. b st 5 tollendo X a - am per compendium
  16. vocemus ap fiet 2aa X- 1Z= ap = 27222. sed X- Z habetur Ex 5
  17. fiet 2aa ZZ + amazz. an. 2 = ap- 272222. Ergo Z haberi potest
  18. plane cujus valoe substituto in eq. 6. etiam X ex X+y, adeoque
  19. et AB ex AC plane haberi potest
  20. 300

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 300r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0599?run=74