Geometry I WS 12

Lecture notes for the Geometry I Course at TU Berlin, Winter 2012

Geometry I WS 12

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Category Archives: Example

Desargues and Pappus configuration

Posted on 31/10/2012 by Thilo Rörig
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I put the configurations I showed on the projector online:

  • Pappus configuration
  • Desargues configuration

You may move the points around to see how the configuration changes.

 

Posted in Example, Projective Geometry | Leave a reply

Q: Image of the line at infinity

Posted on 17/10/2012 by Thilo Rörig
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Consider the linear projection map for the homogeneous coordinates of the central projection described in the first lecture. What are the images of the points on the line $l_\infty$ if we assign homogeneous coordinates  $\svector{b_1\\b_2\\0}$ with $b_1 \neq 0$ to the points on the line?

Posted in Example, Projective Geometry, Questions | Leave a reply

Q: Perspective drawing

Posted on 17/10/2012 by Thilo Rörig
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How can you construct the perspective image of the first square given the position of the chessboard, your position (the “eye” point), and the position of the plane projected onto? The construction of the other “squares” is described in the first lecture.

Posted in Example, Projective Geometry, Questions | Leave a reply

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