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Mathematics
Mathematics
Problem
Let
A
x
y
,
A
y
z
,
A
z
x
A_{xy}, A_{yz}, A_{zx}
A
x
y
,
A
y
z
,
A
z
x
be the area of the projection of a plane area
A
A
A
on the
x
y
,
y
z
,
z
x
xy, yz, zx
x
y
,
y
z
,
z
x
plane respectively. Then
A
2
=
A^2 =
A
2
=
a.
A
x
y
2
+
A
y
z
2
+
A
z
x
2
A_{xy}^2 + A_{yz}^2 + A_{zx}^2
A
x
y
2
+
A
y
z
2
+
A
z
x
2
b.
A
x
y
2
+
A
y
z
2
+
A
z
x
2
\sqrt{A_{xy}^2 + A_{yz}^2 + A_{zx}^2}
A
x
y
2
+
A
y
z
2
+
A
z
x
2
c.
A
x
y
+
A
y
z
+
A
z
x
A_{xy} + A_{yz} + A_{zx}
A
x
y
+
A
y
z
+
A
z
x
d.
A
x
y
+
A
y
z
+
A
z
x
\sqrt{A_{xy} + A_{yz} + A_{zx}}
A
x
y
+
A
y
z
+
A
z
x
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