Difference between revisions of "Arc Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|geometry}}
 
{{command|geometry}}
; Arc[Conic, Point A, Point B]: Returns a conic section arc between two points ''A'' and ''B'' on the circle or ellipse ''c''. For other conics is the result undefined.
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; Arc[ <Ellipse>, <Point>, <Point> ]: Returns a conic section arc between two points on an ellipse.
; Arc[Conic, Number t1, Number t2]: Returns a conic section arc between two parameter values ''t1'' and ''t2'' on the circle or ellipse. For other conics is the result undefined.
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; Arc[ <Circle>, <Point>, <Point> ]: Returns a circle section arc between two points on a circle.
{{Note|Internally the following parametric forms are used:  
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; Arc[ <Ellipse>, <Parameter Value>, <Parameter Value> ]: Returns a conic section arc between two parameter values on an ellipse.
* Circle: ''(r cos(t), r sin(t))'' where ''r'' is the circle's radius.  
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:{{Note|Internally the following parametric forms are used:
* Ellipse: ''(a cos(t), b sin(t))'' where ''a'' and ''b'' are the lengths of the semimajor and semiminor axes.
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:Ellipse: (''a'' cos(''t''), ''b'' sin(''t'')) where ''a'' and ''b'' are the lengths of the semimajor and semiminor axes.}}
}}
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; Arc[ <Circle>, <Parameter Value>, <Parameter Value> ]: Returns a circle section arc between two parameter values on a circle.
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:{{Note|Internally the following parametric forms are used: 
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:Circle: (''r'' cos(''t''), ''r'' sin(''t'')) where ''r'' is the circle's radius.}}

Revision as of 07:05, 26 April 2013



Arc[ <Ellipse>, <Point>, <Point> ]
Returns a conic section arc between two points on an ellipse.
Arc[ <Circle>, <Point>, <Point> ]
Returns a circle section arc between two points on a circle.
Arc[ <Ellipse>, <Parameter Value>, <Parameter Value> ]
Returns a conic section arc between two parameter values on an ellipse.
Note: Internally the following parametric forms are used:
Ellipse: (a cos(t), b sin(t)) where a and b are the lengths of the semimajor and semiminor axes.
Arc[ <Circle>, <Parameter Value>, <Parameter Value> ]
Returns a circle section arc between two parameter values on a circle.
Note: Internally the following parametric forms are used:
Circle: (r cos(t), r sin(t)) where r is the circle's radius.
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