
A cylinder is a solid of circular CrossSection in which the centers of the Circles all lie on a single Line. The cylinder was extensively studied by Archimedes in his 2volume work On the Sphere and Cylinder in ca. 225 BC.
A cylinder is called a right cylinder if it is ``straight'' in the sense that its crosssections lie directly on top of
each other; otherwise, the cylinder is called oblique. The surface of a cylinder of height and Radius can be
described parametrically by
(1)  
(2)  
(3) 
(4)  
(5) 
(6) 
See also Cone, CylinderSphere Intersection, Cylindrical Segment, Elliptic Cylinder, Generalized Cylinder, Sphere, Steinmetz Solid, Viviani's Curve
References
Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 129, 1987.
© 19969 Eric W. Weisstein