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Parabola Parametrization
Investigate the characteristics of the standard parametrization of a parabola.
Parabola Tangent Circumcircle
3 tangents of a parabola form a triangle. Its circumcircle passes through the parabola's focus.
parabola envelope
We use a trick to let the trace "open up" as you drag a point. The trick is this: an initial point is given parametric location s*t, create a tangent at this point and its envelope as s varies. Now hide the original point and create another point with parameter t, and make it draggable. Dragging the new point changes the value of t and we see a trace from 0 to t.
Parabola and catenary
There isn't much difference between a catenary and its approximate parabola. The catenary is the correct model of an ideal chain. But the parabola fits fairly well too.
Rolling Parabola
If you roll a parabola along the ground, what curve does its focus trace out? It might look like a parabola, but is it?
Focus Directrix Parabola
Try to set the focus and directrix of a parabola so it matches one with a given equation
Polar Point Parabola
The polar point of a line in a parabola is a common point to the chords defined by the common tangents through the points on the line. (Go to Full Screen if the green points won’t drag)
