ProCalc - graph 3d

Contents

Overview

The 3D Graph window allows one to draw tridimensional graphs of functions.

Interface

Graph 3D window exposes following functionality:

Icon Name Description
Add graph 3D Opens the Add Graph 3D dialog window
Add parametric graph 3D Extended version only
Opens the Add Parametric Graph 3D dialog window
Add parametric surface graph 3D Extended version only
Opens the Add Parametric Surface Graph 3D dialog window
Edit graph… Opens the apropriate dialog window to edit selected graph’s properties.
Delete graph Deletes the selected graph.

Adding 3D graphs

The 3D graph is a graph of function in the following form:

    \[y = f(x, z)\]

To add a 2D graph, use the Add 2D graph command. The following dialog window will appear.

ProCalc - add graph 3D

You may enter the graph expression into the expression textbox. Note, that the names x and z are reserved as parameters of the graph function, thus you cannot access variables named x or z (if you have defined such ones).

The dialog window allows you to choose the graph’s resolution as well as color. The resolution values regulates the density of data points in both dimensions. Setting both the resolutions to 100 makes a graph with $100*100 = 10000$ points. The density of graph is restricted only by the memory of your graphics card. If there is not enough memory, the chart may appear partially or not at all. In that case, try decreasing the resolution of the chart or remove some charts from the view.

Adding parametric 3D graphs (extended version only)

The parametric 3D graph is a graph of function in the following form:

    \[\left\{\begin{array}{cl} x=f(t)\\ y=g(t)\\ z=h(t)\end{array}\right.\]

To add a parametric 3D graph, use the Add parametric 3D graph command. The following dialog window will appear.

ProCalc - add parametric graph 3D

To enter the parametric graph expressions, use the appropriate textboxes. Similarly to the parametric 2D graph, you may specify the density of data points on the chart. The more you set, the more smooth the chart will be, but also more graphics card memory will be required to store the graph. A value of 100-500 should fit for most of the graphs.

Adding parametric surface 3D graphs (extended version only)

The parametric surface 3D graph is a graph of function in the following form:

    \[\left\{\begin{array}{cl} x=f(u, v)\\ y=g(u, v)\\ z=h(u, v)\end{array}\right.\]

To add a parametric surface 3D graph, use the Add parametric surface 3D graph command. The following dialog window will appear.

ProCalc - add parametric surface 3D

Use the appropriate textboxes to enter the function expressions. The variable names u and v are reserved for the function parameters, thus you cannot access the values of variables u and v (if you have defined such ones).

The range and data point density of both parameters may be adjusted. The similar restrictions, as in regular 3D graph applies to the parametric surface graph.

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