A cylinder (frae Greek κύλινδρος – kulindros, "roller, tumbler") is ane o the maist basic curvilinear geometric shapes, the surface furmed bi the pynts at a fixed distance frae a given line segment, the axis o the cylinder. The solid enclosed bi this surface an bi twa planes perpendicular tae the axis is an aa cried a cylinder. The surface aurie an the volume o a cylinder hae been kent syne deep antiquity.
In differential geometry, a cylinder is defined mair broadly as ony ruled surface spanned bi a ane-parameter faimily o parallel lines. A cylinder whose cross section is an ellipse, parabola, or hyperbola is cried an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder respectively.
References[edit | edit source]
- κύλινδρος, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus