|SimReal: Mathematics - Conic - Ellipse|
An ellipse with axis a and b and the center in origin can be described by the equation:
x2/a2 + y2/b2 = 1 or by the equation
x = acost
y = bsint
In this application the default ellipse is given by:
x = 8cost
y = 5sint
A point P on the ellipse and the two focus points F2 and F2 are shown.
You can move the point P along the ellipse
and change the eccentricity e of the ellipse by moving the focus points.
The tangent and the normal to the ellipse at point P can be shown.
The construction of the ellipse and the reflextion property of the ellipse can be studied.
Control objects : x = acost : x-coordinate of a point P on the ellipse y = bsint : y-coordinate of a point P on the ellipse tMin : Start value of the parameter t tMax : End value of the parameter t tCur : Current parameter t of the ellipse pont P Path Total : Show the whole ellipse Path Current : Show the ellipe up to the point P Ellipse Point : Show the ellipse point P Position Line : Show the line from origin to the point P Focus Point : Show the two focus points F1 and F2 Move Focus Point : Move the focus point by the scrollbar e = : Show the eccentricity e = c/a Tangent : Show the tangent at the elllipse point P Normal : Show the normal at the ellipse point P Beam : Show reflection property of the ellipse Axis : Show the coordinate axis Grid : Show the grid Txt : Show the text of the points P, F1 and F2 Formula : Show the formula of the ellipse