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Each of those lines is called a generatrix of the surface.
The parametric equations for the generatrix of a balloon of radius r are given by:
The symbol of the power that is Nature, generatrix of all that exists is the yoni."
Ruled surfaces are forms generated by a straight line known as the generatrix, as it moves over one or several lines known as directrices.
(i.e.: the generatrix length is given)
A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around a straight line in its plane (the axis).
The positive portion of the generatrix of the balloon is the function z(x) where for a given generatrix length a:
While a sphere is the surface that encloses a maximal volume for a given surface area, the mylar balloon instead maximizes volume for a given generatrix arc length.
In the single-cone type, there is a revolving body (a wheel) that moves on the generatrix of the cone, thereby creating the variation between the inferior and the superior diameter of the cone.
The perimeter of the base of a cone is called the 'directrix', and each of the line segments between the directrix and apex is a 'generatrix' of the lateral surface.
He had read of the same experiments on Earth three hundred years ago and of the fantastic accident that had led Roman-Forteski and Gladheim to enclose the generatrix in a dodecahedron of quartz.
The aperture of a right circular cone is the maximum angle between two generatrix lines; if the generatrix makes an angle θ to the axis, the aperture is 2θ.
The definition used at that time differs from the one commonly used today in that it requires the plane cutting the cone to be perpendicular to one of the lines, (a generatrix), that generates the cone as a surface of revolution.
The pattern of cycles at the heart of "The Seven Ages" is very much part of the point Ms. Figes is trying to make: woman, by virtue of her role as generatrix, is naturally more in tune with the earth and its seasons.