Difference between revisions of "Vertex Command"

Revision as of 08:26, 30 July 2014

Vertex[ <Conic> ]

Returns (all) vertices of the conic section.

Vertex[ <Inequality> ]

Returns the points of intersection of the borders.

Example:

Vertex[(x + y < 3) && (x - y > 1)] returns point A = (2, 1).
{Vertex[(x + y < 3) ∧ (x - y > 1) && (y > - 2)]} returns list1 = {(2, 1), (5, -2), (-1, -2)}.
Vertex[(y > x²) ∧ (y < x)] returns two points A = (0, 0) and B = (1, 1).
{Vertex[(y > x²) ∧ (y < x)]} returns list1 = {(0, 0), (1, 1)}.

Note: To get the vertices of the objects polygon / conic / inequality in a list, use {Vertex[Object]}.

Following text is about a feature that is supported only in GeoGebra 5.0.

Note: From GeoGebra 5, this command will work with 3D objects as well.

@@ Line 3: / Line 3: @@
 ;Vertex[ <Conic> ]
 :Returns (all) vertices of the conic section.
 ;Vertex[ <Inequality> ]
 :Returns the points of intersection of the borders.
@@ Line 13: / Line 12: @@
 ;Vertex[ <Polygon> ]
 :Returns (all) vertices of the polygon.
 ;Vertex[ <Polygon>, <Index> ]
 :Returns ''n''-th vertex of the polygon.
 {{Note|1=To get the vertices of the objects polygon / conic / inequality in a [[Lists|list]], use <code>{Vertex[Object]}</code>.}}
+{{betamanual|version=5.0| {{Note| 1=From GeoGebra 5, this command will work with 3D objects as well.
+;Vertex[ <Conic> ]
+:Returns (all) vertices of the conic section.
+;Vertex[ <Polygon> ]
+:Returns (all) vertices of the polygon.
+}}}}