Family of Limaçons
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This example demonstrates the family of limaçon curves and their variations. Key math concepts include parametric equations, coordinate geometry, trigonometry, and curve families. It is constructed using GeoGebra's CurveCartesian command to plot the curves, with parameter 'a' controlled by a slider, and text objects for annotations. Suitable for high school and above to explore the properties and transformations of parametric curves.
GeoGebra Commands & Parameters
CurveCartesian(((1 + (c * sin(θ))) * cos(θ)), ((1 + (c * sin(θ))) * sin(θ)), θ, 0, 6.283185307179586) → a