Difference between revisions of "Vertex Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
 
{{command|geometry}}
 
{{command|geometry}}
 
;Vertex[ <Conic> ]
 
;Vertex[ <Conic> ]
 
:Returns (all) vertices of the conic section.
 
:Returns (all) vertices of the conic section.
 
  
 
;Vertex[ <Inequality> ]
 
;Vertex[ <Inequality> ]
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:*<code>Vertex[(y > x²) ∧ (y < x)]</code>  returns two points ''A = (0, 0)'' and ''B = (1, 1)''.
 
:*<code>Vertex[(y > x²) ∧ (y < x)]</code>  returns two points ''A = (0, 0)'' and ''B = (1, 1)''.
 
:*<code>{Vertex[(y > x²) ∧ (y < x)]}</code> returns ''list1 = {(0, 0), (1, 1)}''.}}
 
:*<code>{Vertex[(y > x²) ∧ (y < x)]}</code> returns ''list1 = {(0, 0), (1, 1)}''.}}
 
 
 
;Vertex[ <Polygon> ]
 
;Vertex[ <Polygon> ]
 
:Returns (all) vertices of the polygon.
 
:Returns (all) vertices of the polygon.
 
  
 
;Vertex[ <Polygon>, <Index> ]
 
;Vertex[ <Polygon>, <Index> ]
 
:Returns ''n''-th vertex of the polygon.
 
:Returns ''n''-th vertex of the polygon.
  
{{Note|1=To get vertices of the polygon / conic as [[Lists|list]], use <code>{Vertex[t]}</code>.}}
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{{Note|1=To get the vertices of the objects polygon / conic / inequality in a [[Lists|list]], use <code>{Vertex[Object]}</code>.}}

Revision as of 18:30, 6 January 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)}.
Vertex[ <Polygon> ]
Returns (all) vertices of the polygon.
Vertex[ <Polygon>, <Index> ]
Returns n-th vertex of the polygon.
Note: To get the vertices of the objects polygon / conic / inequality in a list, use {Vertex[Object]}.
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