TL;DR: In this paper, the generation and projection with elevations of three types of conoids, namely the Plucker, the Kuper and the Viviani conoids are studied. But the authors focus on the generation of conoid type surfaces.
Abstract: . Having a remarkable appearance, conoid type surfaces have frequently been used in architecture and constructions. Conoids are part of the category of ruled surfaces. The representation of this kind of surfaces can be performed with one of the following representation systems: orthogonal projection on two planes of projection (Monge projection), axonometry, projection with elevations. The present paper focuses upon the generation and projection with elevations of three types of conoids, namely the Plucker, the Kuper and the Viviani conoids
TL;DR: In this paper, an axis of 45° can produce hyperboloids; with perpendicular axes, concentric spheres can be generated; magnetic fields can be used to shape the lenses; and multielement lenses can be produced with special chambers.
Abstract: Conoid surfaces can be generated by rotation of a material at different angles and under differing constraints. An axis of 45° can produce hyperboloids; with perpendicular axes, concentric spheres can be produced; magnetic fields can be used to shape the lenses; and multielement lenses can be produced with special chambers.
TL;DR: The platen which carries the printing blanket in a dry offset lid printer is formed by a radial milling operation, producing substantially a right conoid configuration in the article engaging part of the platen, which feeds the article as it comes into printing position as mentioned in this paper.
Abstract: The platen which carries the printing blanket in a dry offset lid printer is formed by a radial milling operation, producing substantially a right conoid configuration in the article engaging part of the platen which feeds the article as it comes into printing position. A proper relation of the elements is automatically obtained.
TL;DR: In this article, more characteristic curves are derived on the premises of Plucker conoid, constructed at a point of a smooth regular part surface, referred to as Plucker curvature indicatrix and An R(P_1)-indicatrix of a part surface.
Abstract: In this chapter, more characteristic curves are derived on the premises of “Plucker conoid”, constructed at a point of a smooth regular part surface. At the beginning main properties of the surface of “Plucker conoid” are briefly outlined. This includes but not limited to basics, analytical representation, and local properties along with auxiliary formulae. This analysis is followed by analytical description of local geometry of a smooth regular part surface. Ultimately, expressions for two more characteristic curves are derived. These newly introduced characteristic curves are referred to as Plucker curvature indicatrix and \( An R(P_1) \)-indicatrix of a part surface. The performed analysis makes it possible derivation of equations for two more planar characteristic curves for analytical description of the contact geometry of two smooth regular part surfaces at a point of their contact. One of the newly derived characteristic curves is referred to as “\( An_{R}(P_1/P_2) \)-relative indicatrix of the first kind” of two contacting part surfaces. Another one in a curve inverse to the characteristic curve \( An_{R}(P_1/P_2) \). This second characteristic curve is referred to as “\( An_{k}(P_1/P_2) \)-relative indicatrix of the second kind”. Main properties of both the characteristic curves are briefly discussed in this section of the monograph.