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In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the pantograph. By moving a pencil attached to a linkage, Scheiner was able to produce a second image that was enlarged. Do some brief research on Scheiner’s invention. Describe how the pantograph works and how it is able to produce an enlarged image. How does the operation of the pantograph relate to dilations and similarity? How can you use similar triangles to describe why the pantograph works as it does? Write an abbreviated paragraph proof using similar triangles to explain the design. In many instances, the pantograph has been replaced by other means for enlarging images. What has the pantograph been replaced by? Explain.
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1. The placement of the writing acre facilitates drawing two or more lines with one stroke of the pantograph. This means that when drawing an image two or more copies of different sizes can be created at the same time. The pantograph mirror is used to enlarge or retrieve an image.
2. The operation of pantography is about dissociation and similarity in that both processes are performed on the graph and similar triangles can be used by measuring the size of triangles. The pantograph contains links that are arranged in other ways perhaps because they are parallel.
3. You can use similar triangles to describe the operation of the pantograph because the similarity ratio is set when deciding where to place the pin. When one triangle and the point-specific part (traced style) are moved along the perimeter of the image, an enlarged / reduced version of the image is created by the movement of the other triangle (drawing style point).
4. Pantographs have been replaced by modern means of producing duplicates such as photocopying, mass printing and digital filing. This is because the technique is currently outdated and now difficult to use then due to its intricate designs that do not allow users to get a proper grip on actual writing tools like the pen.
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