Problem of Apollonius
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
Dilation Circle Inversion Loci Of Points Satisfying Certain Properties Power of a point to a circle Translation Homothety
Problems of Apollonius' and Pappus' Euclidean geometry (and history) and construction Non-Euclidean solutions to the Problem of Apollonius
CS EN

CIRCLE • CIRCLE • CIRCLE

CIRCLE • CIRCLE • LINE

CIRCLE • LINE • LINE

LINE • LINE • LINE

POINT • CIRCLE • CIRCLE

POINT • CIRCLE • LINE

POINT • LINE • LINE

POINT • POINT • CIRCLE

POINT • POINT • LINE

POINT • POINT • POINT

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This project was created by the students of PORG under the guidance of Mgr. Tomáš Fabián

Web designed and developed by Adam Tran and Dominik Sima.

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