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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9
# Folio 10r, page id 00068104:0019
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In
Lex Homogeneorum
bem in Transcendentibus duplicem Legem
observandam esse 2
fomogerectum unam qnuantitalis alteram qua–
litalis. Quantitatis est quae vulgo usurpatur
ut scilicet in quoliget termino aequalis sit numerus
literatum quae in se invicem ducuntur. Qualitatis
ratione. Quantitas differentia, differentio differentia
non
sunt ejusdem gradus. itaque A et dx non sant
Womogeneo inter je
itaque
seu
Q
paubite
1
sed
l
 si  et  gradu aestim iri potest X ut 3 dx ut 2
de ut = et adx uli
quia a ndx = 3 Xddx + x2
ax ut 1 dax ut
Nam a dx aax  dx dddx + ddX
3
fient
X
dddx ut 1
Et omnes valores graduum qualitatis coordinando fit
dx
dax
ut 3. 2 . 9 e+
X et
Xddx et ax.
X a 3 2x ut 2, et ddo ut 1.
X ut 1
et generaliter sit
Idax ddddx ddadax addddax
Este)
d ut 1 erit
ita it Quemadmodum
authmelicent
2
C 64
e
de de
u
potentiae ab x in potesla
relsidunt
et
s
eu
a diferentiae arithmetico
dcucstecrescant unde palet aucto nuntero terminorum
augeri