Difference between revisions of "Surface Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} | ||
| − | ;Surface | + | ;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 (first ''<Expression>''), ''y''-expression (second ''<Expression>'') and ''z''-expression (third ''<Expression>''), using two ''<Parameter Variables>'' within the given intervals [''<Start Value>'', ''<End Value>'']. | : Yields the Cartesian parametric 3D surface for the given ''x''-expression (first ''<Expression>''), ''y''-expression (second ''<Expression>'') and ''z''-expression (third ''<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 | + | :{{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''.}} |
:{{note|1=<div> | :{{note|1=<div> | ||
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:*''x, y'' and ''z'' are not allowed as parameter variables.</div>}} | :*''x, y'' and ''z'' are not allowed as parameter variables.</div>}} | ||
| − | ;Surface | + | ;Surface( <Function>, <Angle> ) |
:Creates a surface of revolution, rotating the given ''Function'' from 0 to given ''Angle'' around the x-axis. | :Creates a surface of revolution, rotating the given ''Function'' from 0 to given ''Angle'' around the x-axis. | ||
| − | ;Surface | + | ;Surface( <Curve>, <Angle>, <Line>) |
:Creates a surface of revolution, rotating the ''Curve'' from 0 to given ''Angle'' around the ''Line''. | :Creates a surface of revolution, rotating the ''Curve'' from 0 to given ''Angle'' around the ''Line''. | ||
Latest revision as of 13:07, 30 September 2017
- 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 (first <Expression>), y-expression (second <Expression>) and z-expression (third <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.
- Surface( <Function>, <Angle> )
- Creates a surface of revolution, rotating the given Function from 0 to given Angle around the x-axis.
- Surface( <Curve>, <Angle>, <Line>)
- Creates a surface of revolution, rotating the Curve from 0 to given Angle around the Line.
