Dot

The Dotted Line

Dots

Points and lines

Conic by Directrix, Focus Point

Polar Line of a Point

Dash Dot

Dash Dot Dot

Intersection of lines

What's the connection?

Polar Point of a Line

On the left hand panel, again, we have the S shaped curve of adoption.

Hyperbola by Focuses Point

A point on the solution curve

Hyperbola by Asymptotes Point

Parabola by Directrix Focus

The polar line of a point with respect to a conic.

Line by Two Points

Inversion of Point, Line or Circle

Do you see?

So the line y equals x looks like that.

The polar point of a line with respect to a conic.

So that means that we're including the line.

A segment constructed from its start and end point

The midpoint of a segment or two other points

Let's call this line right over here line AB.

A cubic curve with a nodal point at the origin through six points

A conic with given directrix and focus, through a point

Intersect with this line

Select a point on the curve...

So the rest of the function is going to look like this.

So let's add a straight edge here, so this is to draw a line.

This is what it looks like.

And now we should be able to use this information to figure out the actual coordinates of the focus and the directrix of what I would call the classic parabola, y is equal to x squared.

Cubic Curve with Node by Six Points

Cubic Curve with Cusp by Four Points

A line constructed through a point, perpendicular to another line or segment.

A line constructed through a point, and parallel to another line or segment

A cubic curve with a horizontal cusp at the origin through four points

Conic by Five Points

Cubic Curve by Nine Points

Bézier Quadratic by its Control Points

Rational Bézier Quadratic by its Control Points

Bézier Curve by its Control Points

Rational Bézier Curve by its Control Points