GeoGebra Archives - Page 33 of 44

GeoGebra Tutorial 30 – Loci, Roses and Reflections

August 13, 2010 GB GeoGebra, Software Tutorials

This is the 30th GeoGebra Tutorial of the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, you might want to read the GeoGebra Essentials Series.

In this tutorial, we reflect a point on a unit circle about the x-axis and about the y-axis to form rectangle ABCD. We construct a segment with length equal to the area of the rectangle passing through point B. One of the endpoints of this segment is at the origin. As we move the point B along the the circle, the trace of the end point of the segment that not on the circle’s center will form a 4-petal rose.

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. » Read more

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GeoGebra Tutorial 31 – Paper Folding Simulation

August 6, 2010 GB GeoGebra, High School Geometry, High School Mathematics, Software Tutorials

This is the 31st GeoGebra Tutorial of the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, you might want to read the GeoGebra Essentials Series.

In this tutorial, we are going to use GeoGebra to simulate paper folding. We will represent a rectangular piece of paper with corners ABCD and drag the upper right corner (vertex B) anywhere inside the rectangle.

We will use a Point on Object, a which is only available in GeoGebra 4.0 Beta Release, which can be downloaded here. As an alternative, the Point in region tool can be replaced by the New point tool as an alternative in lower versions (see details in the step-by-step instructions). » Read more

7 comments GeoGebra, GeoGebra intersect two objects, GeoGebra paper folding, GeoGebra perpendicular bisector, GeoGebra point in region, GeoGebra polygon tool, GeoGebra Tutorial Series

GeoGebra Tutorial 26 – Constructing a Cycloid

July 30, 2010 GB GeoGebra, High School Geometry, High School Mathematics

This is the 26th tutorial of the GeoGebra Intermediate Tutorial Series. If this is your first time to use GeoGebra, you might want to read the GeoGebra Essentials Series.

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 use GeoGebra to construct a cycloid, the path traced by a rotating circle. In reality, we will not really roll the circle but use mathematics to make it appear is if it is rolling. We will set the amount of rotation to $4 \pi$ but you can choose to increase it later on.

The output of this tutorial is shown above. Move the slider and observe what happens.
» Read more

3 comments constructing a cycloid using GeoGebra, GeoGebra Circle with Center and Radius, GeoGebra intersect two objects, GeoGebra rotate object around point by angle, GeoGebra slider tool, rolling circle

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