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Viviani's Window

Viviani's Window
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2016-05-27 16:13
Coordinate GeometryParametric EquationGeometric Construction
In collections intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve My 3D Collection
Viviani's Window is a geometric figure composed of four semicircles, showcasing the properties and symmetry of circles. This example involves circles, semicircles, and geometric construction. By using parametric equations and the commands listed in the construction summary, the formation process of Viviani's Window can be dynamically demonstrated. Suitable for middle and high school students to learn about geometry and parametric equations.

GeoGebra Commands & Parameters

  1. CurveCartesian(R / 2 + (R / 2 * cos(t)), (R / 2 * sin(t)), (R * sin(t / 2)), t, 0, 12.56637) → d
  2. LaTeX(d, false, true) → testo2