Geometry I WS 12

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

Geometry I WS 12

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Problems uploading Lecture 12 Notes

Posted on 02/12/2012 by neosonea
2

I tried to upload the code by copying from tex-file. It seems he does not like my formatting, but how can I change it? Has anyone had a similar problem?

Posted in Questions | 2 Replies

Q: Pappus theorem

Posted on 24/10/2012 by Thilo Rörig
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Question. What happens if the points $A$, $B$, $B’$, and $C’$ are not in general position? Post your pictures.

Posted in Projective Geometry, Questions | Leave a reply

Q: Points in general position

Posted on 23/10/2012 by Thilo Rörig
4

 Points in general position on a projective line  Points in general position in a projective plane

Question. The above picture only show an affine part of the respective projective spaces. What happens if some of the points lie at infinity?

Posted in Projective Geometry, Questions | 4 Replies

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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