Parabolic Surface of Revolution
Plan View
Angle
of
Revolution =
Section View
y
= –
a
x
² +
c
Width
on
x
-axis =
Height
on
y
-axis =
x
1
³
0 ...
x
1
=
½Width
³
x
2
>
x
1
...
x
2
=
Width is symmetrical about
y
-axis
Arc Lengths and Areas
Simpson's Rule ...
n
= 1024
y
1
=
y
2
=
Coefficient
of
x
² =
Section Arc Length =
Moment of Arc ...
S
y-y
=
Centroid
of
Arc =
Surface
of
Revolution =
Estimation of Dome Surface Areas
