page_title: Steinmetz curve
hierarchical_section_title: Steinmetz curve
context_page_description: A Steinmetz curve is the curve of intersection of two right circular cylinders of radii and whose axes intersect perpendicularly. In case of the Steimetz curves are the edges of a Steinmetz solid. If the cylinder axes are the x- and y-axes and, then the Steinmetz curves are given by the parametric equations:
  It is named after mathematician Charles Proteus Steinmetz, along with Steinmetz's equation, Steinmetz solids, and Steinmetz equivalent circuit theory.
  In the case when the two cylinders have equal radii the curve degenerates to two intersecting ellipses.
context_section_description: A Steinmetz curve is the curve of intersection of two right circular cylinders of radii  and  whose axes intersect perpendicularly. In case of  the Steimetz curves are the edges of a Steinmetz solid. If the cylinder axes are the x- and y-axes and , then the Steinmetz curves are given by the parametric equations:
  It is named after mathematician Charles Proteus Steinmetz, along with Steinmetz's equation, Steinmetz solids, and Steinmetz equivalent circuit theory.
  In the case when the two cylinders have equal radii the curve degenerates to two intersecting ellipses.
caption: Steinmetz solid (intersection of two cylinders) involving Steinmetz curves (purple)