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Putnam
1952 Putnam
B2
Putnam 1952 B2
Putnam 1952 B2
Source:
May 30, 2022
Putnam
Problem Statement
Find the surface generated by the solutions of
d
x
y
z
=
d
y
z
x
=
d
z
x
y
,
\frac {dx}{yz} = \frac {dy}{zx} = \frac{dz}{xy},
yz
d
x
=
z
x
d
y
=
x
y
d
z
,
which intersects the circle
y
2
+
z
2
=
1
,
x
=
0.
y^2+ z^2 = 1, x = 0.
y
2
+
z
2
=
1
,
x
=
0.
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