Geometry

Here you can find a series of tutorials and worksheets I created using The Geometer's Sketchpad and GeoGebra. You can view all of the GeoGebra resources I have created, here.

Contents:

Music:

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Graphical chord and scale calculator:
An interactive diagram depicting musical intervals, chords and scales and component elements.
(Download an old version in Geometer's Sketchpad format.)
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Frequency doubling:
A description of how the frequency of musical tones double as the number of octaves increases.

Art:

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Color cube:
A demonstration of how the different color components combine to create colors on your computer monitor.
(Download an old version in Geometer's Sketchpad format.)
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Sri Yantra:
A Hindu mystical diagram.
(Download an old version in Geometer's Sketchpad format.)

Conic sections:

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Bezier / parabola:
A demonstration showing that a Bezier curve is also a parabolic segment.
(Download an old version in Geometer's Sketchpad format.)
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Parabola construction:
A demonstration showing how to trace a parabola.
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Ellipse & hyperbola construction:
A demonstration showing two methods of constructing the ellipse and hyperbola geometrically.
(Download an old version in Geometer's Sketchpad format.)
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Conic section tools:
Five GeoGebra tools for creating conic sections.

Other curves:

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Beta distributions:
A great class of curves for generating smooth random distributions with known limits.
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Quadratic Bezier curve construction:
A demonstration showing how to construct a quadratic Bezier curve geometrically.
(Download an old version in Geometer's Sketchpad format.)
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Cubic Bezier curve construction:
A demonstration showing how to construct a cubic Bezier curve geometrically.
(Download an old version in Geometer's Sketchpad format.)
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Lissajous curves:
A demonstration of how to trace Lissajous curves.
(Download an old version in Geometer's Sketchpad format.)
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Spirals:
Some examples of different types of spirals.
(Download an old version in Geometer's Sketchpad format.)
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Peano-Gosper curve:
Six GeoGebra tools for creating the Peano-Gosper curve.

Surfaces:

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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.
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Metaballs: sticky, gooey blobs:
A description of different techniques used to create the class of surfaces known as metaballs or "blobs".

Trigonometry:

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Trigonometric functions:
A worksheet showing the relationship between the trigonometric functions and the unit circle.
(Download an old version in Geometer's Sketchpad format.)
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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.)

Miscellaneous:

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Geodetic latitude:
A description of geodetic latitude and its relationship to the Earth's surface. Also a discussion of "circles of latitude".
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Solar system model:
An animation showing the eight major planets of the solar system orbiting the sun.

Utility:

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JavaScript/XML demo:
GeoGebra demo showing JavaScript evaluation and XML modification inside an HTML page.
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Placing objects exactly on the screen:
Tutorial showing how to place objects at particular places on the screen, or create objects having particular pixel dimensions.
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Angle & distance markers:
Four GeoGebra tools for creating CAD-style angle and distance markers.
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Controlling Your Drawing's Pixel Dimensions:
Instructions on how to resize your drawings to whatever scale and pixel dimensions you require.

Isometricland.net © Copyright 2009-2021 Michael Horvath. This page last modified: April 05 2021 23:13:21. Vector clipart by various authors. "Applevista" breadcrumbs by mtekk with slight modifications.
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