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Analytic Geometry of Hyperbola Define, create and explore hyperbolas, including their foci and directrices. Dynamical change of hyperbolas, 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 hyperbolas 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 - Hyperbola investigation Topic 4 - Special case (foci on the y-axis) 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. 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 hyperbola's radii | |||
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| Topic 2: Properties of hyperbola's foci & directrices | |||
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| Topic 3: Investigation of hyperbola | |||
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| Topic 4: Special case of hyperbola (foci on the y-axis) | |||
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