Difference between revisions of "Vertex Command"

Latest revision as of 10:46, 11 October 2017

Vertex( <Conic> ): Returns (all) vertices of the conic section.

Vertex( <Inequality> )

Returns the points of intersection of the borders.

Examples:

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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}}
+;Vertex( <Conic> )
+:Returns (all) vertices of the conic section.
-{{command|geometry}}
+;Vertex( <Inequality> )
-;Vertex[ <Conic> ]:Returns (all) vertices of the conic section.
+:Returns the points of intersection of the borders.
+:{{examples|1=<br>
+:*<code>Vertex((x + y < 3) && (x - y > 1))</code> returns point ''A = (2, 1)''.
+:*<code>{Vertex((x + y < 3) ∧ (x - y > 1) && (y > - 2))}</code> returns ''list1 = {(2, 1), (5, -2), (-1, -2)}''.
+:*<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)}''.}}
-;Vertex[ <Polygon> ]:Returns (all) vertices of the polygon.
+;Vertex( <Polygon> )
+:Returns (all) vertices of the polygon.
-;Vertex[ <Polygon>, <Number  n> ]:Returns ''n''-th vertex of the polygon.
+;Vertex( <Polygon>, <Index 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>.}}
+{{Note|1=To get the vertices of the objects polygon / conic / inequality in a [[Lists|list]], use <code>{Vertex(Object)}</code>.}}
+<br>
-;Vertex[ <Inequality> ]:Returns the points of intersection of the borders
+;Vertex( <Segment>, <Index> )
-:{{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>}}
+:Returns the start-point (Index = 1) or end-point (Index = 2) of the Segment.

Difference between revisions of "Vertex Command"

Latest revision as of 10:46, 11 October 2017

Vertex

Command Categories (All commands)