Real space : Sections
CGRAPH can graphically determine sections of functions and curves. To use this function, at least two graphics (or two graphic elements) must first be displayed in the representation. Depending on the element, intersections can be intersection points, intersection lines, intersection curves or intersection circles.
The graphics created so far are displayed in the tree on the left. To select them, click on the checkbox next to the graphic. Only one graphic 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 sections are only calculated for the areas for which graphics have been created. If (additional) sections are outside this area, they are not taken into account. The elements of linear algebra are an exception – here, sections are calculated based on the entered vectors. However, section lines are only drawn within a specified space.
After clicking the Determine intersections button, CGRAPH switches to the Display tab and displays the intersections graphically.
The selected reference can be viewed in the tree on the left-hand side.
The reference and the selected graphics for intersection points can be changed later - by clicking on one of the values in the tree, CGRAPH switches back to the Determine sections tab. 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.
The results of the calculation can be viewed under Determine sections in the Results tab. The Export button is also available here, which can be used to save the results in a CSV file.
The individual objects can also be displayed independently of each other. While only one base colour can be selected in the tree view, different colours can be assigned to each individual object in the list. Double-clicking on the respective object opens a dialogue box for settings with which the display can be modified. However, their colour can then no longer be modified from the tree view.
The resulting file can be used within the Linear Algebra graphics function to display the calculated sections.