Difference between revisions of "Vertex Command"

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;Vertex[ <Conic> ]
 
;Vertex[ <Conic> ]
 
:Returns (all) vertices of the conic section.
 
:Returns (all) vertices of the conic section.
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;Vertex[ <Inequality> ]
 
;Vertex[ <Inequality> ]
 
:Returns the points of intersection of the borders.
 
:Returns the points of intersection of the borders.
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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)}''.}}
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;Vertex[ <Polygon> ]
 
;Vertex[ <Polygon> ]
 
:Returns (all) vertices of the polygon.
 
:Returns (all) vertices of the polygon.
;Vertex[ <Polygon>, <Index> ]
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;Vertex[ <Polygon>, <Index n> ]
 
:Returns ''n''-th vertex of the polygon.
 
: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>.}}
 
{{Note|1=To get the vertices of the objects polygon / conic / inequality in a [[Lists|list]], use <code>{Vertex[Object]}</code>.}}
 
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;Vertex[ <Segment>, <Index> ]
 
;Vertex[ <Segment>, <Index> ]
 
:Returns the start-point (Index = 1) or end-point (Index = 2) of the Segment.
 
:Returns the start-point (Index = 1) or end-point (Index = 2) of the Segment.

Revision as of 11:35, 27 August 2015


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


Vertex[ <Segment>, <Index> ]
Returns the start-point (Index = 1) or end-point (Index = 2) of the Segment.
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