Difference between revisions of "Vertex Command"

Revision as of 11:27, 26 September 2012

Note: To get vertices of the polygon / conic as list, use {Vertex[t]}.

Following text is about a feature that is supported only in GeoGebra 4.2.

Vertex[ <Inequality> ]

Returns the points of intersection of the borders

Example:

Vertex[(x + y < 3) && (x - y > 1)] returns point (2,1) ;

{Vertex[(x + y < 3) ∧ (x - y > 1)&& (y>-2)]} returns list {(2, 1), (5, -2), (-1, -2)} ;

Vertex[(y > x²) ∧ (y < x)] returns two points (0, 0) and (1, 1) ;

{Vertex[(y > x²) ∧ (y < x)]} returns list {(0, 0), (1, 1)}.

@@ Line 2: / Line 2: @@
 {{command|geometry}}
 ; Vertex[Conic]: Returns (all) vertices of the conic section.
+; Vertex[Polygon]: Returns (all) vertices of the polygon.
+; Vertex[Polygon, Number n]: Returns ''n''-th vertex of the polygon.
+{{note|1=To get vertices of the polygon / conic as [[Lists|list]], use <code>{Vertex[t]}</code>.}}
 {{betamanual|version=4.2|
@@ Line 7: / Line 14: @@
 :{{example|1=<div>
 ::<code>Vertex[(x + y < 3) && (x - y > 1)]</code> returns point (2,1) ;
-::<code> {Vertex[(x + y < 3) ∧ (x - y > 1)&& (y>-2)]}</code> returns list <nowiki> {(2, 1), (5, -2), (-1, -2)} </nowiki>
+::<code> {Vertex[(x + y < 3) ∧ (x - y > 1)&& (y>-2)]}</code> returns list <nowiki> {(2, 1), (5, -2), (-1, -2)}  ;</nowiki>
+::<code>Vertex[(y > x²) ∧ (y < x)]</code>  returns two points (0, 0) and (1, 1) ;
 ::<code>{Vertex[(y > x²) ∧ (y < x)]}</code>  returns list <nowiki>  {(0, 0), (1, 1)}.  </nowiki></div>}}}}
-; Vertex[Polygon]: Returns (all) vertices of the polygon.
-; Vertex[Polygon, Number n]: Returns ''n''-th vertex of the polygon.
-{{note|1=To get vertices of the polygon / conic as [[Lists|list]], use <code>{Vertex[t]}</code>.}}