CYLINDER, properties of the. 1. The sec tion of every cylinder by a plane oblique to its base is an ellipsis. 2. The superficies of a right cylinder is equal to the periphe ry of the base multiplied into the length of its side. 3. The solidity of a cylinder is equal to the area of its base multiplied into its altitude. 4. Cylinders of the same base, and standing between the same pa rallels, are equal. 5. Every cylinder is to a spheroid inscribed in it, as 3 to 2. 6. If the altitudes of two right cylinders be equal to the diameters of their bases, those cylinders are to one another as the cubes of the diameters of their bases.
To find a circle equal to the surfdte of a cylinder, we have this theorem : the surface of a cylinder is equal to a circle, whose radius is a mean proportional be tween the diameter and height of the cylinder. The diameter of a sphere and altitude of a cylinder equal thereto be ing given, to find the diameter of the cy linder, the theorem is, the square of the diameter of the sphere is to the square of the diameter of the cylinder equal to it nearly, as triple the altitude of the cylin der to double the diameter of the sphere.
CYLISTA, in botany, a genus of the Diadelphia Decandria class and order. Natural order of Papilionacex or Legu minosx. Essential character : calyx very large, four-parted ; the upper division cleft at the end; corolla permanent. There is but one species, viz. C. villosa, hairy cylista. It flowers in April and May, was introduced in 1776, but from what coun try is not known. It is a shrub, and re quires the heat of the stove to preserve it. CYMATIUM, in architecture, the crowning members of a cornice, being synonymous with cyma recta, and cyma reversa.