Wallis’s conical edge
Encyclopedia
Wallis's conical edge is a ruled surface
given by the parametric equations:
where a, b and c are constants.
Wallis's conical edge is also a kind of right conoid
.
Figure 2 shows that the Wallis's conical edge is generated by a moving line.
Wallis's conical edge is named after the English mathematician John Wallis, who was one of the first to use Cartesian
methods to study conic sections.http://books.google.com/books?id=owEj9TMYo7IC&pg=PA450&lpg=PA450&dq=John+Wallis+%22conical+edge%22&source=bl&ots=j591Txb0Li&sig=GqlLD5QzHjtZwm67hVaDILWBoUE&hl=en&ei=kG5uSpWFHqj26gOD-Ky5BA&sa=X&oi=book_result&ct=result&resnum=1
Ruled surface
In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar examples are the plane and the curved surface of a cylinder or cone...
given by the parametric equations:
where a, b and c are constants.
Wallis's conical edge is also a kind of right conoid
Right conoid
In geometry, a right conoid is a ruled surface generated by a family of straight lines that all intersect perpendicularly a fixed straight line, called the axis of the right conoid....
.
Figure 2 shows that the Wallis's conical edge is generated by a moving line.
Wallis's conical edge is named after the English mathematician John Wallis, who was one of the first to use Cartesian
Analytic geometry
Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties...
methods to study conic sections.http://books.google.com/books?id=owEj9TMYo7IC&pg=PA450&lpg=PA450&dq=John+Wallis+%22conical+edge%22&source=bl&ots=j591Txb0Li&sig=GqlLD5QzHjtZwm67hVaDILWBoUE&hl=en&ei=kG5uSpWFHqj26gOD-Ky5BA&sa=X&oi=book_result&ct=result&resnum=1
External links
- Wallis's Conical Edge from MathWorld.