Title: Theoretical Research on the Intersection Curve of Cylinder and Cone with Intersecting Axes
Abstract: The fact is proved using analytic geometry that in engineering graphics the intersection curve of a cylinder and a cone,which have two axes intersected,can be a plane curve under certain geometric conditions.The process is: forming two surface equations and then getting intersection curve’s projection equation of a cylinder and a cone with a same inscribed sphere.Next,the equation is transformed into hyperbola equation and asymptote equation.Through studying three kinds of intersection curve’s projection equations separately,a conclusion is obtained that intersection curve’s projection can be two intersection lines.This conclusion is consistent with the descriptive geometry and thus solves the doubt of the learner.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: article
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