Conic sections and interpntration of solids

Consider a right circular cone, i.e. a cone whose base is a circle and whose apex is above the centre of the base (Fig. 12.1). The true face of a section through the apex of the cone will be a triangle.

Conic Perspective Drawing
Fig. 12.1 Conic sections: section AA - triangle; section BB - circle; section CC - parabola; section DD - hyperbola; section EE - rectangular hyperbola; section FF - ellipse

The true face of a section drawn parallel to the base will be a circle.

The true face of any other section which passes through two opposite generators will be an ellipse.

The true face of a section drawn parallel to the generator will be a parabola.

If a plane cuts the cone through the generator and the base on the same side of the cone axis, then a view on the true face of the section will be a hyperbola. The special case of a section at right-angles to the base gives a rectangular hyperbola.

Was this article helpful?

0 0
101 Resume Writing Tips

101 Resume Writing Tips

100 Resume Tips EVERY Job Applicant Should Know. Get This Report

Get My Free Ebook


    How to draw conic sections in engg. drawing?
    9 years ago
    How to draw section of solids in engineering drawing?
    8 years ago

Post a comment