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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 300r, page id 00068194:0599
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Ad Acta eraditorum jannar 1692. paus 31. duaec
M = aaZ : aa - XX -gy +7Z = XX - 73 + gy, : 2X - (B 2Z quae
ubi Z et in sunt geminae, X et y sunt unicae a est constans
sit XX - yy +72= va, et fint ex aequ. 2.  multiplicando per crucem
fict: 2fNZ- 2 Z= a -nod et differentiando fiet:
2X dy - 4Zd2 = adv - 2v dx, . sit Xx-yy = at. fiet va Z ah + Z per
Et diffecentiando aeq. 7. fit adv = 2ZdZ. quem vulorem ipsius de substitutud
eq. 5. Tolletur dz et fiet:  ax - 2a Z = a Z = 20Z son per 3 firt a X + 2 atiqz 122 = 3 a Z
Ex aeq.et ex plicando va redit 2ac k Z- 2ca 27 = d h F a Z7 - ah + 7
2X 49. 10 est an + Z2 = 34Z = 4X, : 2Z unde ex u et 12. fiet.
2a4Z X. Z = a  37- 7: 2Z = a 3Z. X: 472
An sic brevius ex eq2. (it aa - xx - yu am et XX tyy = an
et ex egu fiet  raa Z X am + ZZ 0an- ZZ et differeatiad
fiet: 2aa X Z=  (an - 2Z 2Z = am+ ZZ 2Z =) an - am. 27 2
sed an  am = unde ope aeq. b st 5 tollendo X a - am per compendium
vocemus ap fiet 2aa X- 1Z= ap = 27222. sed X- Z habetur Ex 5
fiet 2aa ZZ + amazz. an. 2 = ap- 272222. Ergo Z haberi potest
plane cujus valoe substituto in eq. 6. etiam X ex X+y, adeoque
et AB ex AC plane haberi potest
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