Integrating surfaces and solids of revolution with ���wheels���
P(p) is the parameter range of P.
Sliders to set roots of polynomial f(p):
Scaling factor for polynomial f(p):
f(p) is the function to be revolved around axis.
Area of sector (of a circle) of angle a :
Area of an annular (flat ring) sector with outer radius r , innner radius s, and angle a:
Volume of a disk-sector of radius r, angle a, and thickness T:
Volume of the sector of a wheel of square cross-section with outer radius r , innner radius s, angle a, and thickness T :
The edges of a rectangle with left at l, bottom at b, width w and height h.
p is the drawing parameter.
Filling in the interior of the rectangle:
u is the horizontal and v is the vertical parameter.
Dots at minimum and maximum x-values:
Plot the curve on the xy plane:
Rotation around the x-axis by the angle a:
Rotate the curve:
The interiors of the rectangles, at start and rotated:
The width of the wheels:
The edges of the rectangles, at start:
The edges of the rectangles, rotated:
The surfaces swept out by the edges:
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