Difference between revisions of "Vertex Command"

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{{command|geometry}}
 
{{command|geometry}}
;Vertex[ <Conic> ]:Returns (all) vertices of the conic section.
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;Vertex[ <Conic> ]
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: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.
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;Vertex[ <Inequality> ]
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:Returns the points of intersection of the borders.
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:{{example|1=<br>
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:*<code>Vertex[(x + y < 3) && (x - y > 1)]</code> returns point ''A = (2, 1)''.
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:*<code>{Vertex[(x + y < 3) ∧ (x - y > 1) && (y > - 2)]}</code> returns list ''list1 = {(2, 1), (5, -2), (-1, -2)}''.
 +
:*<code>Vertex[(y > x²) ∧ (y < x)]</code>  returns two points ''A = (0, 0)'' and ''B = (1, 1)''.
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:*<code>{Vertex[(y > x²) ∧ (y < x)]}</code> returns list  ''list1 = {(0, 0), (1, 1)}''.}}
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 +
 
 +
;Vertex[ <Polygon> ]
 +
:Returns (all) vertices of the polygon.
 +
 
 +
 
 +
;Vertex[ <Polygon>, <Index> ]
 +
:Returns ''n''-th vertex of the polygon.
  
 
{{Note|1=To get vertices of the polygon / conic as [[Lists|list]], use <code>{Vertex[t]}</code>.}}
 
{{Note|1=To get vertices of the polygon / conic as [[Lists|list]], use <code>{Vertex[t]}</code>.}}
 
;Vertex[ <Inequality> ]:Returns the points of intersection of the borders
 
:{{example|1=<br><code>Vertex[(x + y < 3) && (x - y > 1)]</code> returns point (2,1)<br><code>{Vertex[(x + y < 3) ∧ (x - y > 1)&& (y>-2)]}</code> returns list <nowiki> {(2, 1), (5, -2), (-1, -2)}</nowiki><br><code>Vertex[(y > x²) ∧ (y < x)]</code>  returns two points (0, 0) and (1, 1)<br><code>{Vertex[(y > x²) ∧ (y < x)]}</code>  returns list <nowiki>  {(0, 0), (1, 1)}.</nowiki>}}
 

Revision as of 10:05, 12 July 2013



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