Search Results for “parabola”
Parabola Tangent Circumcircle3 tangents of a parabola form a triangle. Its circumcircle passes through the parabola's focus.
Parabola and catenaryThere 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 ParabolaIf you roll a parabola along the ground, what curve does its focus trace out? It might look like a parabola, but is it?
Polar Point ParabolaThe 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)
Focus Directrix ParabolaTry to set the focus and directrix of a parabola so it matches one with a given equation
Parabola Polar LineThe locus of the intersection of tangents at the ends of chords of a parabola through a given fixed point is a straight line. This is called the polar line of the given point
Parabola DirectrixExplore the focus and directrix of a parabola
Parabola ParametrizationInvestigate the characteristics of the standard parametrization of a parabola.
Parabola SubnormalThe subnormal for a given parabola is constant, and closely related to the focal length.
parabola envelopeWe 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.
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