Engineering Curves

Contents:

1. Ellipse: Focus Directrix method, Arcs of circle method
2. Parabola: Focus Directrix Method, Rectangle Method
3. Hyperbola: Focus Directrix Metod, Rectangular Hyperbola
4. Involutes: Simple planes upto six sides and circle
5. Cycloid: Plane cycloid

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• Conic Sections:  

   The intersection of right circular cone by a cutting plane in different positions relative to the axis of the cone gives us various curves of intersections, known as conic sections.

 

• Right Circular Cone:

The cone whose axis is perpendicular to the base and base of the cone is always circle that cone is called right circular cone.

 

• Circle:

When the section plane is perpendicular to the axis or parallel to the base of the right circular cone, the section obtained is called circle.

• Ellipse:

When the section plane is inclined to the axis and cuts all the generators on one side of the apex, the section obtained is called as an ellipse.

 



•  Parabola:

When the section plane is inclined to the axis and is parallel to one of the generators, the section obtained is called as parabola.

• Hyperbola:

When section plane is parallel to the axis and cuts the cone, the section obtained is called hyperbola.

 

 

Terminology used in conic sections:



Types of Lines