Geometry

Here you can find a series of tutorials and worksheets I created using The Geometer's Sketchpad and GeoGebra.

Music:

Link
Graphical chord and scale calculator:
An interactive diagram depicting musical intervals, chords and scales and component elements.
Link
Frequency doubling:
A description of how the frequency of musical tones double as the number of octaves increases.

Art:

Link
Color cube:
A demonstration of the different color components used to create images on your computer monitor.
Link
Sri Yantra:
The Sri Yantra mandala.

Astronomy:

Link
Geodetic latitude:
A description of geodetic latitude and its relationship to the Earth's surface. Also discusses "circles of latitude".
Link
Interactive planetarium:
An animation showing the eight major planets of the solar system orbiting the sun.

Conic sections:

Link
Bezier / parabola:
A demonstration showing that a Bezier curve is also a parabolic segment.
Link
Parabola construction:
A demonstration showing how to trace a parabola.
Link
Ellipse & hyperbola construction:
A demonstration showing two methods of constructing the ellipse and hyperbola geometrically.
Download
Ellipse from center and axes:
A GeoGebra tool for creating ellipses from a center point and two axes.
Download
Ellipse from center, segment and point:
A GeoGebra tool for creating ellipses form a center point, a segment and a point on that segment.
Download
Hyperbola from center, segment and point:
A GeoGebra tool for creating hyperbolas from a center point, a segment and a point on that segment.
Download
Parabola from vertex and focus:
A GeoGebra tool for creating parabolas from the vertex and focus.
Download
Ellipse from two points and eccentricity:
A GeoGebra tool for creating ellipses from a center point, a vertex and an eccentricity value.

Other curves:

Link
Beta distributions:
A great class of curves for generating smooth random distributions with known limits.
Link
Quadratic bezier curve construction:
A demonstration showing how to construct a quadratic Bezier curve geometrically.
Link
Cubic Bezier curve construction:
A demonstration showing how to construct a cubic Bezier curve geometrically.
Link
Lissajous curves:
A demonstration of how to trace Lissajous curves.
Link
Spirals:
Some examples of different types of spirals.
Download
Hermite spline:
A GeoGebra tool for creating Hermite splines.
Download
Peanu-Gosper curve:
Six GeoGebra tools for creating the Peanu-Gosper curve.

Surfaces:

Link
Parametric sphere with Euler rotations:
A demonstration showing how to plot three-dimensional curves in GeoGebra and apply Euler rotation matrices to them. Curves are not drawn in perspective however.
Link
Metaballs:
A description of different techniques used to create the class of surfaces known as metaballs or "blobs".

Trigonometry:

Link
Trigonometric functions:
A worksheet showing the relationship between the trigonometric functions and the unit circle.
Link
Triangle components:
A worksheet showing the various components of a triangle.
Download
Screenshot
Vectors:
A demonstration of the different components of a vector, as well as vector operations.
(Geometer's Sketchpad format.)

Other:

Link
JavaScript/XML demo:
GeoGebra demo showing JavaScript evaluation and XML modification inside an HTML page.
Download
Download
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Download
Angle & distance markers:
Four GeoGebra tools for creating drafting-style angle and distance markers.
Link
Exact screen coordinates:
A tutorial on how to place objects on the drawing pad with exact screen coordinates in pixels.
Download
GeoGebra program icons:
A few program icons based on the existing ones.
GeoGebra logo plain
(Based on the existing GeoGebra icon.)
GeoGebra logo shaded
(Based on the existing GeoGebra icon.)

This page © Copyright 2009 Michael Horvath. Last modified: December 23 2016 02:46:00.
Vector clipart by other authors. "Applevista" breadcrumbs by mtekk.
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