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Search Results for “ellipse”

By Phil Todd
Ellipse Isotomic
The ellipse isotomic generated by point D is teh locus of the reflection of D in the tangents to the ellipse. What shape is the isotomic when D lies on one of the foci of the ellipse? Why?

Tags: isotomic, ellipse

By Phil Todd
Ellipse Reflection Property
One definition of an ellipse is as the locus of points the sum of whose distance from two fixed points (the foci) is constant. This gives you a way to draw the ellipse with two pins and a piece of string. Here we relate that definition to the focal property: that light emanating from one focus reflects to the other focus.

Tags: ellipse, reflection

By Larry Ottman
Alternate Ellipse Construction
This app allows you to experiment with an alternate construction of an ellipse.  The tracing of the perpendicular bisector of the segment between a point on a circle and a point in the circle create an elliptical locus. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse, bisector, perpendicular, circle

By Larry Ottman
Ellipse Equations
This app allows you to practice writing the equation of an ellipse (horizontal and vertical) given a graph. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse, equation

By Phil Todd
Ellipse Reflection
A visual proof of the reflection property of an ellipse

Tags: ellipse, reflection

By Phil Todd
Ellipse Incenter Locus
What is the locus of the incenter of the triangle formed by the string in the "two pins and a piece of string" construction of an ellipse?

Tags: ellipse, locus

By Larry Ottman
Ellipse Equations
This app allows you to practice writing the equation of an ellipse (horizontal and vertical) given a graph. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse, equation

By Larry Ottman
Ellipse Definition
This app allows you to experiment with the definition of an ellipse as the set of points in which the sum of the distances from two fixed points is a constant. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse

By Phil Todd
Polar Point Ellipse
The polar point of a line in an ellipse is a common point to the chords defined by the common tangents through the points on the line. Play with it and the meaning will be clear! (Go to Full Screen if the green points won't drag)

Tags: ellipse, polar

By Phil Todd
Ellipse Parametrization
We examine a standard parametrization of an ellipse.

Tags: ellipse, conic-section, parametrization


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