A pantograph is a mechanical linkage connected in a special manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical movements in a second pen.

If a line drawing is traced by the first point, an identical, enlarged or miniaturized copy will be drawn by a pen fixed to the other. The pantograph was invented by Cristoph Scheiner.

If a line drawing is traced by the first point, an identical, enlarged or miniaturized copy will be drawn by a pen fixed to the other. The pantograph was invented by Cristoph Scheiner.

The applet above demonstrates how the pantograph works. Move the blue point (hinge) and draw any shape.

Questions:

1.) What do you observe?

2.) What is the relationship between the blue figure and red figure?

3.) Justify your answer in 2.

4.) Prove that your answer in 2 will always hold.

Download the Applet

Related Links:

- Learn the GeoGebra Essentials and create your own applets
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- The GeoGebra 4.0 Sneak Peek Series

*Source: Text Source Wikipedia*

A lovely applet thanks but as it stands the transformation will be a non-linear one as the yellow, blue and red points are not collinear. Please take a look at various pantograph designs at:

ReplyDeletehttp://research.shu.ac.uk/geogebra/ResourcesMisc.html

Thanks

Mark