Difference between revisions of "Surface Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
 
{{command|3D}}
 
{{command|3D}}
;Surface[  <Expression a>, <Expression b>, <Expression c>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]
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;Surface[  <Expression>, <Expression>, <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]
  
: Yields the Cartesian parametric 3D surface for the given ''x''-expression ''a'', ''y''-expression ''b'' and ''z'' -expression ''c'', using two parameter variables within the given intervals [''Start Value'', ''End Value''].
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: Yields the Cartesian parametric 3D surface for the given ''x''-expression, ''y''-expression and ''z'' -expression, using two parameter variables within the given intervals [''Start Value'', ''End Value''].
 
:{{Example|1= Let ''r'' and ''R'' be two positive real numbers: <code><nowiki>Surface[(R + r cos( u)) cos(v) , (R + r cos( u)) sin(v) , r sin(u ), u, 0, 2 π , v, 0, 2 π]</nowiki></code> creates the torus generated by a circle of radius ''r'' whose center rotates about zAxis at a distance ''R''.}}
 
:{{Example|1= Let ''r'' and ''R'' be two positive real numbers: <code><nowiki>Surface[(R + r cos( u)) cos(v) , (R + r cos( u)) sin(v) , r sin(u ), u, 0, 2 π , v, 0, 2 π]</nowiki></code> creates the torus generated by a circle of radius ''r'' whose center rotates about zAxis at a distance ''R''.}}
  

Revision as of 14:15, 29 July 2014


Surface[ <Expression>, <Expression>, <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]
Yields the Cartesian parametric 3D surface for the given x-expression, y-expression and z -expression, using two parameter variables within the given intervals [Start Value, End Value].
Example: Let r and R be two positive real numbers: Surface[(R + r cos( u)) cos(v) , (R + r cos( u)) sin(v) , r sin(u ), u, 0, 2 π , v, 0, 2 π] creates the torus generated by a circle of radius r whose center rotates about zAxis at a distance R.


Note:
  • End Value must be greater than or equal to Start Value and both must be finite.
  • x, y and z are not allowed as parameter variables.
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