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Analytic Geometry of Ellipse
Define, create
and explore ellipses, including their foci and directrices.
Dynamical change of ellipses, with their foci and directrices, by
changing the parameter values of their equations.
Display and explore the distances between the foci, points on the
graphs and the directrices, including sums or differences and/or
ratios of distances, to learn the properties and characteristics of
ellipses and their geometrical representation. The following
screenshots were designed to meet the pedagogical approach needed
for teaching and learning of these topics:
Topic 1 - Radii properties
Topic 2 -
Foci & directrices properties Topic 3 - Ellipse
investigation Topic
4 - Special case (b>a)
Dynamic movable
tools, such as: Points,
Segments, Straight Lines, Parallels, Perpendiculars, Tangents,
Chords, Perpendiculars from a point, Tangents through an external
point, Angles and Angle Bisectors.
Tracing while obtaining updated quantitative information for each
location, and the dynamic tools, including the relevant equations.
A Data
Table, in
which information obtained during exploration can be accumulated,
can be displayed.
Quantitative
coordinate system (scales),
fully user
controlled by zooming in/out, dragging the axes and changing the
scales.
Copy
and Print: All
the content can be easily transferred to a Word®
document or to any presentation program such as Power Point®
or to be printed directly.
A Help
supplement to the software includes specified instructions for each
of the software's components.
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