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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 12r, page id 00068073:0023
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aequationes differentrates ad casus
speciales determinatae
cum omnes caqua
Aequatio differentialis ut dysaego. ad Traxlar
dy aequ
ay - Xx ad speciales cajuis ope maximae et
minimae determinare potest
del minimat
un faciendo dx aequ. 0. seu x esse maximam, fit
cx arRA= XX
aa aa - XX aequ. 0. seu a aequ X. Kursus ponendo
y y aequ XX.. Hino patet non posse promib
fieri  quod aliquando co-
gitaveram ut ponendo simul
poneretur ayngo qu.0 et
namex aequ. o quo facto
tamen contingeret aliquando contingeret
in curva quadam tam nominatonam quam numera
torem simul esse aequ.o. eo casu nihil inde posset
colli duci adcurvae paximam vel minimam
eberet
Itaque s aled imo deberesi curva maximia et
minima carere, nam ut s X et y imaxima vel
minima coincidant impossibile est. itaque si daretur
Curva talis aequationes differentialis quam constaret
Maxina et minima; seu punctis reversionis
carere audacter possemus facere utruluque practio
nis terminum nihulo aequalem. M aetere dubit
dubito tamen an id contingat.
eot Acquatio deracientiatis
dy aequ ad a
quaritur an satem pro spcciali
aliquo curvae casu liceat aequationem differentialem aliam
AX
pro arbiniio assumere ut:
22. aequ
ax. fieret
a
a aequ y in  hoc casu speciali. seu yx aaego aa. sed
nihil inde duci potest. Opus est enim relatione inter
X et y.
ln