GeoGebra Resources: Miscellaneous and Recreational
These resources are from myself and colleagues and are a representative sample of our many meanderings, often done 'on the fly' with GeoGebra to help out!
Some are quick and simple, others represent more in-depth studies of particular mathematical topics that interest us at the time!
Complex Themes
Complex Numbers via constructions not algebra
- Intersecting Chords (file) (The basis of all constructions in complex files below)
- Complex Multiplication (file)
- Complex Division (file)
- Complex Multiplication, Division, Addition and Subtraction - Macro Tool File (Download)
- Complex Square Root (file)
- Complex Roots of a Quadratic Equation (file)
Complex Transformations
Complex Loci
Conic constructions
Many lesser know...
The Parabola
- Parabola Definition (file)
- Parabola by Tangent (file)
- Parabola focus (file)
- Parabola Normal (file)
- Tangent on Parabola (file)
- Tangent not on Parabola (file)
- Parabola construction 1 (file)
- Parabola construction 2 (file)
- Parabola construction 3 (file)
- Parabola construction 4 (file)
- Parabola construction 5 (file)
- Parabola construction 6 (file)
- Parabola construction 7 (file)
- Parabola construction 8 (file)
- Parabola construction 9 (file)
The Ellipse
Many of these ellipse consrtuctions can also be deformed into hyperbolae.
- Ellipse Definition (file)
- Ellipse by Tangent (file)
- Ellipse foci (file)
- Ellipse Normal (file)
- Tangent on Ellipse (file)
- Tangent not on Ellipse (file)
- Ellipse construction 1 (file)
- Ellipse construction 2 (file)
- Ellipse construction 3 (file)
- Ellipse construction 4 (file)
- Ellipse construction 5 (file)
- Ellipse construction 6 (file)
- Ellipse construction 7 (file)
- Ellipse construction 8 (file)
- Ellipse construction 9 (file)
- Ellipse construction 10 (file)
- Ellipse construction 11 (file)
- Ellipse construction 12 (file)
- Ellipse construction 13 (file)
- Ellipse construction 14 (file)
- Ellipse construction 15 (file)
- Ellipse construction 16 (file)
- Ellipse construction 17 (file)
- Ellipse construction 18 (file)
- Uneven egg (file)
Nomograms and Parallel Axes
- Basic Addition Nomogram (file)
- Logarithmic-based Multiplication Nomogram (file)
- Parabola-based Multiplication Nomogram (file)
- Arch-based Reciprocal Nomogram (file)
Linkages
The 4-Bar Linkage
- 4-Bar Generalisations (file) (The Basic 4-Bar Linkage with each bar fixed in turn)
- 4-Bar Single Paddle (file) (An application of the 4-Bar Linkage)
- 4-Bar Multi-Paddle (file) (Steamboat style!)
- Basic 4-Bar Frame (file) (A foundation for your own experimentations)
Pantographs
- General Pantograph (file) (Linear and Non-Linear Loci)
- General Pantagraph using a Circle (file) (Linear and Non-Linear Loci)
- General Pantagraph using a Line (file) (Linear and Non-Linear Loci)
- Pantograph of Sylvester (file)
- Pantograph with Central Symmetry (file)
Straight Line Approximations
- Watt's Linkage (file) (The ground-breaking linkage devised by James Watt, circa 1784)
- Chebyshev-651 (file) (Devised by Chebyshev, circa 1850)
- Chebyshev-653 (file)
- Roberts-660 (file) (Devised by R. Roberts, circa 1860)
- Evans-665 (file)
- Evans-666 (file)
- Evans-667 (file)
- Kostitsyn-700 (file)
- Crosby Indicator (file)
- Watt's Steam Engine (file)
Mathematical Inversion
- Inversions (file) (The theoretical basis of many Exact Straight Line mechanisms)
Exact Straight Line Linkages
- Kempe Double Kite (file) (This construction does not use inversion)
- Peaucellier-Lipkin Cell (file)
- Peaucellier-Lipkin-701 (file)
- Peaucellier-Lipkin-702 (file)
- Peaucellier-Lipkin-703 (file)
- Hart-706 (file)
- Hart-707 (file)
- Hart-Rhombus (file)
- 7-Bar (1) (file) (This construction does not use inversion)
- 7-Bar (2)(file) (This construction does not use inversion)
Transformations
- Translation (file)
- Rotation 180 (file)
- Rotation and Enlargement (file)
- Enlargement (file)
- Reflection (file)
- Stretch (file)