Tag Archives: GeoGebra slider tool

GeoGebra Tutorial 29 – Animation, Roses and Radian

Posted on September 10, 2010 by Guillermo Bautista | 2 Comments

Note: Although this is the 29^th of the GeoGebra Tutorial Series, just like other Intermediate GeoGebra tutorials, it is independent from others. This means that you can follow this tutorial step-by-step even without learning the previous twenty eight tutorials.

In this tutorial, we are going to introduce the concept of radian. One radian is equal to the subtended angle of the arc with the same length as the circle’s radius. We are going to rotate radius AB’ about point A, the center of the circle. As the point rotates, point C goes back and forth from A to B’ at the same speed. The path of point C forms petals (see red petals in the figures below). The ratio of the maximum number of petals formed and the number of rotations is a good approximation of $\pi$ Instructions

If you want to follow this tutorial step-by-step, you can open the GeoGebra window in your browser by clicking here. The output applet of this tutorial can be viewed here. Continue reading →

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Posted in GeoGebra, Software Tutorials

Tagged GeoGebra angle slider, GeoGebra animation, GeoGebra move tool, GeoGebra rotate object around a point tool, GeoGebra segment between two points tool, GeoGebra slider tool, GeoGebra Zoom in tool, radian measure, radian measure animation, rotating circle animation

GeoGebra Tutorial 27 – Animation and Epicycle

Posted on August 20, 2010 by Guillermo Bautista | 4 Comments

Note: Although this is the 27^th of the GeoGebra Tutorial Series, just like other Intermediate GeoGebra tutorials, it is independent from others. This means that you can follow this tutorial step-by-step even without learning the previous twenty six tutorials.

In this tutorial, we are going to rotate a circle about the center of another circle tangent to it using the animation feature of GeoGebra. Along the rotating circle, we will also rotate a point on its circumference about its center (see red point in the diagram). The path of this point is called the epicycloid.

If you want to follow this tutorial step-by-step, you can open the GeoGebra window in your browser by clicking here. You can view the output of this tutorial here. Continue reading →

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Posted in GeoGebra, Software Tutorials

Tagged GeoGebra animation, GeoGebra compass tool, GeoGebra cycloid, GeoGebra intersect two objects, GeoGebra Ray Through Two Points, GeoGebra rotate object around point by angle, GeoGebra segment between two points tool, GeoGebra slider tool

GeoGebra Tutorial 26 – Constructing a Cycloid

Posted on July 30, 2010 by Guillermo Bautista | 2 Comments

Note: Although this is the 26^th of the GeoGebra Tutorial Series, just like other GeoGebra tutorials, it is independent from others. This means that you can follow this tutorial step-by-step, without needing to learn the previous twenty-five tutorials.

A cycloid is the curve defined by the path of a point on the edge of circular wheel as the wheel rolls along a straight line. In this tutorial, we are going to use GeoGebra to construct a cycloid, the path traced by a rotating circle. We will set the amount of rotation to $4 \pi$ but you can choose to increase it later on.

If you want to follow this tutorial step-by-step, you can open the GeoGebra window in your browser by clicking here. You can view the output of this tutorial here. Continue reading →