Real plane : Intersections
CGRAPH can graphically determine intersections of functions and curves. To use this function, at least two graphs must first be displayed in the view.
All previously created graphs are displayed in the tree on the left – for functions, this also includes their derivatives and integrals. To select a graph, click on the checkbox next to it. Only one graph can be selected as a reference for intersections.
After clicking, the right-hand tree is also filled – all graphics except for the already selected reference graphic are now displayed there. Any number of graphics can now be selected here. CGRAPH then determines the possible intersections for each individual graphic.
Clicking on the parent element in the tree simultaneously selects all child elements (or deselects them).
The intersections are only calculated for the areas for which graphics have been created. If (additional) intersections are located outside this area, they are not taken into account. The elements of linear algebra are an exception – here, intersections are calculated based on the entered vectors.
After clicking on the Create graphic button, CGRAPH switches to the Display tab and draws the intersections in the graphic.
The results can then be viewed in the Results tab. They are listed there as individual points. Double-clicking on an intersection allows you to adjust the colour of individual points.
The Export button allows you to create a file in semicolon-separated CSV format; the determined intersections are exported. The resulting file can be used within the linear algebra graph function to display the calculated intersection points.
The selected reference can be viewed in the tree on the left-hand side.
The reference and the selected graphics for intersections can be changed later – by clicking on one of the values in the tree, CGRAPH switches back to the tab with the selection. The graphic is adjusted as soon as the Create graphic button is clicked. Clicking on the coloured symbol for the graph allows you to quickly hide the graphic from the display. Double-clicking on the text allows you to adjust the graphical display.