Difference between revisions of "Surface Command"
From GeoGebra Manual
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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 | + | ;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 | + | : 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
This page is about a feature that is supported only in GeoGebra 5.0. |
- 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.