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Geogebra mathematics case
According to your needs, here is a free math software-* * Geogebra * *.

GeoGebra is a dynamic mathematics software integrating geometry, algebra, tables, graphics, statistics and calculus, which is very suitable for students, educators and researchers. Here are some features that meet your requirements:

1.** Calculate the various centers of a triangle * *: In GeoGebra, you can easily enter the coordinates of three vertices of a triangle and calculate its various centers, including but not limited to the center of gravity, inner center, outer center, vertical center and lateral center. You can use its built-in geometric tools to build these centers, and the software will automatically display their coordinates.

2.** Find the intersection of two curves or straight lines * *: Geogebra allows you to draw various function curves and straight lines and easily find the intersection between them. You only need to draw two curves or straight lines in the graphics area, and then the software will automatically calculate their intersection points and display their coordinates.

In addition, GeoGebra has many other powerful functions, such as symbolic calculation, numerical calculation, three-dimensional drawing and so on. It is very suitable for mathematics research and study. And it is completely free, and can be downloaded and installed in official website.

Please note that although GeoGebra is a powerful mathematical tool, you may need some basic mathematical knowledge and computer operation skills during the use. There are many enthusiastic users and developers in GeoGebra's official forums and communities who can help you if you encounter any problems during use.