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Samples
The Pythagorean Theorem
This sample shows a proof for the Pythagorean Theorem. It also shows the ability to work with classical theorems in Euclidean Geometry interactively.
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Trochoid
The Trochoid is obtained geometrically through its definition. This is a general construction that shows a family of Trochoids.
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Icosahedron
It is possible to represent figures in solid geometry through a projection onto the plane and using macros.
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Hyperbolic Geometry
With this sample we can create constructions in Hyperbolic Geometry using the Poincaré disc model through the document's macros(tools).
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Function addition
This sample shows the capability to define, combine and graphically represent functions. Also shows the ability to modify the construction and obtain different cases interactively.
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Derivative definition
The derivative definition is shown through an interactive construction. Also shows the ability to modify the construction and obtain different cases dynamically.
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3D Lissajous curve
It is possible to graphically represent 3D curves through a projection onto the plane and using macros. With this sample we can obtain the different cases for the 3D Lissajous curve.
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Slope field of a differential equation
The slope field of a differential equation is a geometric interpretation for the solution of the differential equation; the capability to modify it facilitates its visualization interactively.
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Dispersion through a water droplet
This sample shows the physical property that produces the rainbow. Also shows the capability to represent parametric colors.
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Polarization of light
This sample shows the propagation of the addition of two plane waves. (The wave is represented using macros)
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Transient response of a R-L-C circuit
The R-L-C circuit shown in the figure is
connected to a constant voltage V. It is possible to modify the voltage, resistance, inductance and capacity.
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Wankel engine
With this sample it is possible to study dynamically the Wankel engine, an internal
combustion engine that uses a 3-faced rotating piston instead of the conventional engines pistons.
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