Difference between revisions of "Surface Command"
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: 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'']. | : 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'']. | ||
− | :{{Example|1= | + | :{{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''.}} |
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:{{note|1=<div> | :{{note|1=<div> | ||
:*''End Value'' must be greater than or equal to ''Start Value'' and both must be finite. | :*''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.</div>}} | :*''x, y'' and ''z'' are not allowed as parameter variables.</div>}} |
Revision as of 22:19, 9 June 2013
This page is about a feature that is supported only in GeoGebra 5.0. |
- Surface[ <Expression a>, <Expression b>, <Expression c>, <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].
- 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.