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Mathematics
Problem
Find the locus of the centroid of an equilateral triangle inscribed in the ellipse
x
2
a
2
+
y
2
b
2
=
1.
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1.
a
2
x
2
+
b
2
y
2
=
1.
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