The plane sliced a third double-napped cone to produce a hyperbola
The second image in the diagram is a hyperbola.
As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone.
What is the slant angle?
The slant angle of a pick is defined as the angle between the axis of the pick and the normal direction of the rock surface being cut by the pick.
This has a very important implication.
The plane cuts both cones of the double-napped cone.
The third double-napped cone in two hyperbolas.
Thus, The plane sliced a third double-napped cone to produce a hyperbola.
To learn more about the hyperbola visit:
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