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perpendicularity in Euclidean plane
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(Definition)
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Two lines in the Euclidean plane are perpendicular to each other if and only if they intersect and two of the angles they form are congruent.
This definition bases on the one in Hilbert's Grundlagen der Geometrie (``Ein Winkel, welcher einem seiner Nebenwinkel kongruent ist, heißt ein rechter Winkel'').
The perpendicularity of $l$ and $m$ is denoted $$l \perp m.$$
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- D. HILBERT: Grundlagen der Geometrie. Neunte Auflage, revidiert und ergänzt von Paul Bernays. B. G. Teubner Verlagsgesellschaft, Stuttgart (1962).
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"perpendicularity in Euclidean plane" is owned by pahio.
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Cross-references: congruent, angles, intersect, Euclidean plane, lines
There are 60 references to this entry.
This is version 3 of perpendicularity in Euclidean plane, born on 2007-08-28, modified 2007-09-02.
Object id is 9899, canonical name is PerpendicularityInEuclideanPlane.
Accessed 4889 times total.
Classification:
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Pending Errata and Addenda
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