Benutzer:*m.g.*: Unterschied zwischen den Versionen
Aus Geometrie-Wiki
*m.g.* (Diskussion | Beiträge) (Der Seiteninhalt wurde durch einen anderen Text ersetzt: 'Quiz-Text') |
*m.g.* (Diskussion | Beiträge) |
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− | [[ | + | = Halbebenen und das Axiom von Pasch = |
+ | == Halbebenen == | ||
+ | === Analogiebetrachtungen === | ||
+ | |||
+ | {| style="border-spacing:0;" | ||
+ | | style="border-top:0.002cm solid #000000;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| <center>Halbgeraden</center> | ||
+ | | style="border:0.002cm solid #000000;padding:0.097cm;"| <center>Halbebenen</center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| [[Image:]] | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| [[Image:]] | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| [[Image:]] | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| [[Image:]] | ||
+ | |||
+ | |- | ||
+ | | colspan="2" style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| <center>Objekt <math>G</math>, das in Klassen eingeteilt wird</center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| | ||
+ | |||
+ | |} | ||
+ | |||
+ | {| style="border-spacing:0;" | ||
+ | | colspan="2" style="border:0.002cm solid #000000;padding:0.097cm;"| <center>Dimension von <math>G</math></center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| | ||
+ | |||
+ | |} | ||
+ | |||
+ | {| style="border-spacing:0;" | ||
+ | | colspan="2" style="border:0.002cm solid #000000;padding:0.097cm;"| <center>Objekt <math>T</math>, das G in Klassen einteilt</center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| | ||
+ | |||
+ | |} | ||
+ | |||
+ | {| style="border-spacing:0;" | ||
+ | | colspan="2" style="border:0.002cm solid #000000;padding:0.097cm;"| <center>Dimension von <math>T</math></center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| | ||
+ | |||
+ | |} | ||
+ | |||
+ | {| style="border-spacing:0;" | ||
+ | | colspan="2" style="border:0.002cm solid #000000;padding:0.097cm;"| <center>Referenzpunkt <math>Q</math> teilt <math>G</math>ohne <math>Q</math>in genau zwei Klassen</center> | ||
+ | |||
+ | |- | ||
+ | | colspan="2" style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| <center>Klasse 1: </center> | ||
+ | |||
+ | <center>Menge aller Punkte <math>P\mathrm{\in }G</math> , die mit <math>Q</math> bezüglich <math>T</math> „auf derselben Seite liegen“</center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| <math>{\mathit{AQ}}^{\text{+}}\mathrm{=}\left(P\mathrm{...}\right)</math> | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| <math>{\mathit{gQ}}^{\text{+}}\mathrm{=}\left(P\mathrm{....}\right)</math> | ||
+ | |||
+ | |- | ||
+ | | colspan="2" style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| <center>Klasse 2:</center> | ||
+ | |||
+ | <center>Menge aller Punkte <math>P\mathrm{\in }G</math>, die bezüglich <math>T</math> nicht auf der Seite von <math>Q</math>liegen.</center> | ||
+ | |||
+ | |- | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| <math>{\mathit{AQ}}^{\text{-}}\mathrm{=}\left(P\mathrm{...}\right)</math> | ||
+ | | style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| <math>{\mathit{gQ}}^{\text{-}}\mathrm{=}\left(P\mathrm{....}\right)</math> | ||
+ | |||
+ | |} |
Version vom 2. Juni 2010, 13:48 Uhr
Halbebenen und das Axiom von Pasch
Halbebenen
Analogiebetrachtungen
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[[Image:]] | [[Image:]] |
[[Image:]] | [[Image:]] |
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