Introduction: Getting started with Geometria
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Content:
- Introduction
- Some first Examples with Geometria
- Software Requirements
- Developing your own Examples
- Exercises
- Geometria - A Java-Applet
for interactive Geometry Modules
- It was developed as dissertation project at Flensburg
University, Germany
- Based on the Geometry-Applet form David Joyce
Some first examples with Geometria
For the development of your own examples you need only a few things:
- An arbitrary text editor, e. g. Windows Notepad, to describe
the content
of the applets with GeoScript.
- The Java-Applet file archive geometria.jar,
for the execution and display
of the interactive sketches.
- A web-broser like IE or Netscape Navigator to try out and debug your own examples.
Developing a Geometria sketch requires three steps:
- Writing a GeoScript-File with the geometrical content.
Click here for a short GeoScript-Syntax description.
- Changing an existing GeoStyle-File
to your favourit layout.
- Writing a HTML-Document, which includes the Applet-definition.
Click here for more details.
Exercise 1
Look at the Parabola-figure. Open the GeoScript-file
and change the data entries
for the object e[8] so
that the figure shows the graph of the function
.
Exercise 2
Develop a sketch with a dragable triangle ABC and its circumcircle.
The commands for midpoints,
perpendiculars, intersections
and circles are given in the reference.
Exercise 3
Develop a figure, which shows the graph of an ellipse with the parametric curve equation
x = a cos t
y = b sin t
and t Î [0, 2p]. A description of the "curve" command is given here.
Exercise 4
Develop a figure, which shows the graph of a cycloide with the parametric curve equation
x = rt – a sin t
y = r – a cos t
and t Î [–2p, 2p].
Exercise 5
Choose an arbitrary function or parametric curve on your own and
describe the graph in GeoScript like in exercise 1-3.