What are the generators of a cone?

A generator (or element) of the cone is a line lying in the cone, and all generators of a cone contain the point V, called the vertex of the cone. In figure a below, we have a cone and a cutting plane which is parallel to one and only one generator of the cone. This conic is a parabola.

How do you find the generator of a cone?

ax2 + by2 + cz2 + 2fky + 2gzx + 2hxy = 0 for all constants.. (0, 1,0) and (0,0,1) we can write (b = c = 0). So the equation becomes fyz + gzx + hxy = 0 this is our working generator equations.

What is directrix in conic section?

The directrix of a conic section is the line which, together with the point known as the focus, serves to define a conic section as the locus of points whose distance from the focus is proportional to the horizontal distance from the directrix, with being the constant of proportionality.

What is the axis of a cone?

The axis of the cone is the segment whose endpoints are the vertex and the center of the base. If the axis is perpendicular to the plane of the circle, the cone is a right cone otherwise it is an oblique cone .

What is generator in engineering drawing?

A Generator is an imaginary line drawn along the surface of a curved solid which if rotated around the axis of the solid follows the path of the curved surface. In order to draw lines of interpenetration you always need the Elevation and Plan and usually an End View.

What is the type of generator?

Keep the Power Going: 8 Types of Generators All Homeowners Should Know

• Portable Generators.
• Inverter Generators.
• Standby Generators.
• Gasoline Generators.
• Diesel Generators.
• Natural Gas Generators.
• Solar Generators.
• Hydrogen Generators.

Where does the generators of the cone passes through?

CONE (Gr. K& vos), in geometry, a surface generated by a line (the generator) which always passes through a fixed point (the vertex) and through the circumference of a fixed curve (the directrix). The two sheets of the surface, on opposite sides of the vertex, are called the “nappes” of the cone.

What is the purpose of the Directrix?

A line used to help define a shape. Example: a parabola can be defined as a curve where any point is at an equal distance from the directrix (a line) and the focus (a point).

What is a Directrix?

Definition of directrix 1 archaic : directress. 2 : a fixed curve with which a generatrix maintains a given relationship in generating a geometric figure specifically : a straight line the distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus.

What is generator of a cylinder?

Generator of a cylinder is the axis tangential to surface of cylinder and parallel to main axis of the cylinder.