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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 53r, page id 00068073:0105
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1 Fetr. 1653.
Melhodi quarrandi quae tantum profiguris integus dimetreadis serviunt.
AE, X. EF y.
y dx aequ a- X dv. y
AB a. BC, C seu lyd aequ a -X dus
y dx aego  yax + sxdus aequ X y.
seu
posito X et y esse concrescentes. seu AEF A. + ALFA aequal. AEFL
demonstritur ex Generali calculo differentialium: d Xy aequ. X dy + ydx
XZ 1 aequ. XZ dy 1 Xy dy + yZ dx
Et Hinc: Xy aequ SXdy + Sis dx, quod est universale
In casu autem speciali est:  cum X aequ a et  aequc.
fie faciendo 4. erit X y aequa dy. quia aegu.
et
se
quia Sa dy aequ Ay aequ Xy). ergo erit
adque aequ )X du + Sydx. Ergo a -x aque aequ fydx
similiter in casu speciali cum y aequ. c. erit Xy aeqo se dx (quin scdx agora
seu c- y dx aego dxdgue. in Toto 
ergo erit sc ax aequ xdus + Sydx. D
proposita quantitate, Lummanda quaerenda
atia secundum quam una exstente Xdque
altera sit is de
polest semper
Sed hoc ixfuri
Yaa-v du
pro solito sumamus: dxyzaequ 2ycZ +xZlytry ax
unde rursus in casibus speciatibus innumera ductuum
fheoremata habebuntur