Straight Line

Circle Ellipse Hyperbola Parabola


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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Topic 1: Properties of the ellipse's radii 

Exploring the properties of the ellipse's radii - screenshot

 

 

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Topic 2: Properties of the ellipse's foci & directrices

Exploring the properties of the ellipse's foci and directrices - the Graphic window Previous
Next
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Topic 3: Ellipse investigation

Ellipse investigation - screenshot Previous
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Topic 4: Special case of the ellipse (b>a)

Exploring the ellipse's properties when b>a - screenshot Previous
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Dalin Inc. Head Office: 49 Harav Kook St., Herzliya, 46342 Israel;  Phone:(972-9)-9562371, Fax:(972-9)-9514361  
USA Office: 350 W 55th St. #3i, New York, NY 10019;  Fax: (212)-582-5899
e-mail: dalin@mathematix.com

Plane | Integers | Fractions | Ratios | Points | Linear Eq. | Quadr. Eq. | Linear Progr. | Trigo | Conic Sections

Copyright © 2003 Dr. J. Dalin / Dalin Inc.