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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 11r, page id 00068073:0021
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ors equena
etr. 9.   de recta positione data curvam
6863
ignotam tangente. item de
Maximus per duplicem vian, et quadratura
s
speciali
si labetur mmaxima vel minima curvae
latitudo, habetur et recta eam tangens
tantum enim ducenda est recta axi
parallela, intervallo maximae vel minim
latitudinis datae aca ab axe distans
A U
a
sit aequatio differentialis
aequ rl, ab 2aystam
 i
ax aa
d
ideo cum in casu maximae latitu-
dinis sit dy aequ. 0. siet eo
casi y aequ r. et
quando a determi-
Inata, seu axaeq. 0.
fiet y aequ. a.
et quando ax aequ dy. fit: y.F aa
aego aa-rayt yu
ingeniosissima Methadus videretur
inveniendo non tantum Y sed et X.
si scilicet maxima posset inveniri
ex duplici capite nempe tum ex
natura toncentium, tum etiam ex
natur seu ex calculo differentiali, tum
etiam ex calculo numerctum ecilicet si
aliquo modo oriatur impossibile. excedendi
debitu
2
valorem iipsius X. ut si sit aquatio;
Vax- xx du qe exdx + gyde
luit x maxima quando xaequa aequogatdus
et quia in casu maximae ax aequ.o. fiet:
va +YX aequ. 0. seu y aequ. a. et fieret
in casu maxime y equ. xaqua est autem