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Dynamic Geometry or GeoGebra in Action
01 - Dynamic Geometry or GeoGebra in Action
02 - Introduction
03 - Descartes’ Construction of the Hyperbola
04 - Circumscribed Circle of a Triangle
05 - Circle Passing Through a Point and Tangent to a Line
06 - Circle Tangent to Two Circles
07 - Apollonea.com project
08 - Spirograph
09 - Spirograph
10 - Spirograph
11 - Four-Dimensional Geometry – Introduction of the Model
12 - Planes in Four-Dimensional Space
13 - Four-Dimensional Geometry – Sample Worksheets
14 - Intersection of a Hypercone and 3D Space
15 - Fractals
16 - Fractals Created by Removing Parts of a Square
17 - Construction of Fractal Curves
18 - Examples of Additional Fractals in GeoGebra
19 - Resources
20 - Discussion
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Utilized Methods
Dilation
Circle Inversion
Loci Of Points Satisfying Certain Properties
Power of a point to a circle
Translation
Homothety
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About Apollonian Problems
Problems of Apollonius' and Pappus'
Euclidean geometry (and history) and construction
Non-Euclidean solutions to the Problem of Apollonius
11 - Four-Dimensional Geometry – Introduction of the Model
- What Does It Look Like When Two Planes Intersect at a Single Point?
- We Will Use GeoGebra’s Dynamic Environment and Treat Time as the Fourth Dimension
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