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3D Function Graph

The Main Steps Of Creating 3D Function Graphs

To create a 3D function graph, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. If current coordinate system is 3D Cartesian, select Draw->3D Function Graph->Cartesian from the menus, or click button in Plot toolbar; If current coordinate system is cylindrical, select Draw->3D Function Graph->Cylindrical from the menus, or click button in Plot toolbar; If current coordinate system is spherical, select Draw->3D Function Graph->Spherical from the menus, or click button in Plot toolbar.
3. Set some necessary options in 3D Function Graph Properties dialogbox, and click OK button.
   Note: 3D graph includes 3D curve and 3D surface. The type of graph can be controlled by setting the options of Graph Type drop-down listbox in 3D Function Graph Properties dialogbox.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Creating 3D Function Curves

To create a 3D function curve, select "Curve" item in Graph Type drop-down listbox in 3D Function Graph Properties dialogbox.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Cartesian Graphs

To create a function graph in 3D Cartesian coordinate system, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->3D Function Graph->Cartesian from the menus, or click button in Plot toolbar to open 3D Function Graph
   Properties dialogbox.
3. Enter function name in Name field; select "Surface" item in Graph Type drop-down listbox; select an item in Form drop-down listbox according to the form of your function; the default option of Coordinate drop-down listbox is Cartesian, don't change it.
4. Enter the expression of your function and the values of variables in other fields.
   Note: Steps VarName(VarName indicates a variable name such as x, u) in 3D Function Graph Properties dialogbox shows the number of intervals between the minimum value and the maximum value of a variable. A larger value will result in a smoother surface.
5. Click OK button.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Cylindrical Graphs

To create a function graph in 3D cylindrical coordinate system, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->3D Function Graph->Cylindrical from the menus, or click button in Plot toolbar to open 3D Function Graph Properties dialogbox.
3. Enter function name in Name field; select "Surface" item in Graph Type drop-down listbox; select an item in Form drop-down listbox according to the form of your function; the default option of Coordinate drop-down listbox is Cylindrical, don't change it.
4. Enter the expression of your function and the values of variables in other fields.
   Note: Steps VarName(VarName indicates a variable name such as x, u) in 3D Function Graph Properties dialogbox shows the number of intervals between the minimum value and the maximum value of a variable. A larger value will result in a smoother surface.
5. Click OK button.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Spherical Graphs

To create a function graph in 3D cylindrical coordinate system, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->3D Function Graph->Spherical from the menus, or click button in Plot toolbar to open 3D Function Graph Properties dialogbox.
3. Enter function name in Name field; select "Surface" item in Graph Type drop-down listbox; select an item in Form drop-down listbox according to the form of your function; the default option of Coordinate drop-down listbox is Spherical , don't change it.
4. Enter the expression of your function and the values of variables in other fields.
   Note: Steps VarName(VarName indicates a variable name such as x, u) in 3D Function Graph Properties dialogbox shows the number of intervals between the minimum value and the maximum value of a variable. A larger value will result in a smoother surface.
5. Click OK button.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Tangent Line And Normal Plane Of 3D Curve

Use Tangent tab and Normal tab in 3D Function Graph Properties dialog box to create tangent line and normal plane of 3D curve. You must specify the position of a point on the curve.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Tangent Plane And Normal Line Of 3D Surface

Use Tangent tab and Normal tab in 3D Function Graph Properties dialog box to create tangent plane and normal line of 3D surface. You must specify the position of a point on the surface.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Graph Of Partial Derivative Function

Use Partial Derivative Function tab in 3D Function Graph Properties dialog box to create parital derivative function graphs.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Creating Surface By Rotating 2D Curve

To create a surface by rotating a 2D curve, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->Surface By Rotation from the menus to open Surface By Rotation dialogbox.
3. Enter expression, variable values and property values.
   Note: Steps x in Surface By Rotation dialogbox shows the number of intervals between the minimum value and the maximum value of a variable. A larger value will result in a smoother surface.
4. Click OK button.

You can create the surface by rotating the 2D curve about x axis or y axis.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Vector

To plot a 3D vector, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->Vector->Vector And It's Properties from the menus to open Vector dialog box.
3. Enter coordinate values of start point and end point.
4. Use Properties tab to set and modify the properties of vector graph; use Projection tab to show or hide the projections on the main axes; use Subvector tab to show or hide the subvectors.
5. Click OK button.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

Vector Operation

To plot the result of 3D vector operation, following these steps:

1. If graphs created before are 2D or 2.5D, select File->New->3D Graph from the menus, or click button in Standard toolbar.
2. Select Draw->Vector->Vector Operation from the menus to open Vector Operation dialog box.
3. Select a method in Operation combo listbox, enter values of the first vector in Vector One frame, enter values of the second vector in Vector Two frame.
4. Click OK button.

Examples:
Some 3D examples are provided. You can find them in a directory in your setup path, setuppath\samples\3D.

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