Surface of Revolution by Przemysław Kajetanowicz
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This example demonstrates the dynamic process of generating a surface of revolution. It involves core mathematical concepts such as rotation, function graphs, and surface creation. Construction highlights include using commands like Surface, CurveCartesian, Segment, and Textfield to plot functions, rotate to form surfaces, and add textual explanations. Suitable for high school students and math enthusiasts studying calculus and solid geometry.
GeoGebra Commands & Parameters
Surface(t, g(t, s), h(t, s), t, -5, 5, s, 0, 6.283185307179586) → pelnaPowierzchniaCurveCartesian(tt, g(tt, t), h(tt, t), t, -5, 5) → kolkoCurveCartesian(t, g(t, ss), h(t, ss), t, -5, 5) → krzywapodkatemSurface(t, g(t, s), h(t, s), t, -5, 5, s, 0, ss) → czesciowaPowierzchniaSegment(SrodekKolka, P) → srednicaKolkaTextfield(f) → poleTekstowe1