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'perpendicularity in Euclidean plane'
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| Title of object: |
perpendicularity in Euclidean plane |
| Canonical Name: |
PerpendicularityInEuclideanPlane |
| Type: |
Definition |
| Created on: |
2007-08-28 05:52:08 |
| Modified on: |
2007-08-28 05:52:08 |
| Classification: |
msc:51-01 |
| Defines: |
perpendicularity, perpendicular, orthogonality, orthogonal |
Revision comment (for changes between this and next version):
Preamble:
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Content:
Two lines in the Euclidean plane are {\em perpendicular} to each other if and only if they intersect and two of the angles they form are congruent.
This definition \PMlinkescapetext{bases} on the one in Hilbert's {\em Grundlagen der Geometrie} (``Ein Winkel, welcher einem seiner Nebenwinkel kongruent ist, heisst ein {\em rechter Winkel}'').
The {\em perpendicularity} of $l$ and $m$ is denoted
$$l \perp m.$$
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