What You Need to Know About Geometry Expressions 3.0.8 ML.ra

Geometry Expressions 3.0.8 ML.ra: A Powerful Tool for Symbolic Geometry

If you are looking for a software that can help you create and analyze geometric models with ease, you might want to check out Geometry Expressions 3.0.8 ML.ra. This is the latest version of the world's first interactive symbolic geometry system that integrates with Mathematica and other applications. In this article, we will explain what Geometry Expressions is, what is new in version 3.0.8 ML.ra, and how to use it effectively.

Geometry Expressions 3.0.8 ML.ra

What is Geometry Expressions?

Geometry Expressions is a software developed by Saltire Software that allows you to define geometric figures with either symbolic constraints or numeric locations, and then generate their algebraic and diagrammatic representations automatically. You can also measure various parameters on the drawing, such as distance, angle, area, coordinates, slope, and radius, and get their numerical or symbolic values as mathematical expressions.

One of the unique features of Geometry Expressions is that it works seamlessly with Mathematica, the powerful computational software from Wolfram Research. You can send the mathematical expressions generated by Geometry Expressions to Mathematica for further analysis, manipulation, or visualization, and then copy and paste them back into your geometric model. This way, you can take advantage of both the graphical and symbolic capabilities of these two software.

Geometry Expressions also supports other applications, such as MathML, JavaScript/HTML browser apps, dashboard widgets, LaTeX, SVG, PDF, PNG, and more. You can export your models to these formats and share them with others easily.

What is new in version 3.0.8 ML.ra?

Version 3.0.8 ML.ra is the latest release of Geometry Expressions that comes with some improvements and bug fixes over the previous versions. Some of the main changes are:

• The software now supports Mac OS X Lion (10.7) and later.

• The software now supports Mathematica 9 and later.

• The software now supports MathML 3.

• The software now supports SVG export with embedded fonts.

• The software now supports PDF export with embedded fonts.

• The software now supports PNG export with transparent background.

• The software now supports LaTeX export with TikZ graphics.

• The software now supports JavaScript/HTML browser app export with interactive sliders.

• The software now supports dashboard widget export with interactive sliders.

• The software now has improved performance and stability.

• The software now has fixed some bugs related to locus computation, animation, copy/paste, undo/redo, etc.

By using version 3.0.8 ML.ra, you can enjoy a smoother and more versatile experience with Geometry Expressions and its integration with other applications.

How to use Geometry Expressions 3.0.8 ML.ra?

To use Geometry Expressions 3.0.8 ML.ra, you need to have a valid license key that you can purchase online or request a free trial from the developer's website . Once you have installed the software on your computer, you can start creating your geometric models by following these steps:

• Launch Geometry Expressions and choose a template or a blank document.

• Use the toolbar or the menu to select a tool for drawing a point, line, circle, polygon, curve, or text.

• Drag the object to adjust its size, shape, or position.

• Use the constraint tool to add symbolic constraints to the object, such as length, angle, perpendicularity, parallelism, etc.

• Use the measure tool to display the parameters of the object, such as distance, angle, area, coordinates, slope, radius, etc.

• Use the expression tool to enter or edit the mathematical expressions for the object or the parameters.

• Use the animate tool to animate the object or the parameters.

• Use the locus tool to generate the locus of a point or a parameter.

• Use the export tool to export your model to Mathematica or other applications.

Here are some examples of geometric models and their mathematical expressions created by Geometry Expressions 3.0.8 ML.ra:

ModelExpression

A triangle with sides a , b , and c , and angles A , B , and C .The area of the triangle is given by $$A=\frac12ab\sin C$$ The law of sines is given by $$\fraca\sin A=\fracb\sin B=\fracc\sin C$$ The law of cosines is given by $$a^2=b^2+c^2-2bc\cos A$$

A circle with radius r and center O .The area of the circle is given by $$A=\pi r^2$$ The circumference of the circle is given by $$C=2\pi r$$ The equation of the circle in Cartesian coordinates is given by $$(x-x_O)^2+(y-y_O)^2=r^2$$

A parabola with focus F and directrix L .The equation of the parabola in Cartesian coordinates is given by $$(y-y_F)^2=4p(x-x_F)$$ where p is the distance from F to L . The vertex of the parabola is at $$(x_V,y_V)=(x_F,y_F+p)$$ The focal length of the parabola is $$f=\fracp2$$

Conclusion

Geometry Expressions 3.0.8 ML.ra is a powerful tool for symbolic geometry that can help you create and analyze geometric models with ease. It has many features that make it unique and versatile, such as constraint-based sketching, integration with Mathematica and other applications, animation, locus computation, and export options. If you are interested in learning more about Geometry Expressions 3.0.8 ML.ra, you can visit the developer's website and request a free trial or buy a license key online. You can also check out some tutorials and examples on their website and YouTube channel. Geometry Expressions 3.0.8 ML.ra is a software that can unleash your creativity and curiosity in geometry.

FAQs

• Q: What are the system requirements for Geometry Expressions 3.0.8 ML.ra?

• A: Geometry Expressions 3.0.8 ML.ra is available for Windows (XP or later) and Mac OS X (Lion or later). It requires Mathematica 6 or later for integration.

• Q: How much does Geometry Expressions 3.0.8 ML.ra cost?

• A: Geometry Expressions 3.0.8 ML.ra costs $99 for a single-user license, $199 for a site license (up to 30 computers), and $499 for an unlimited site license. You can also request a free trial for 30 days.

• Q: How can I get support for Geometry Expressions 3.0.8 ML.ra?

• A: You can get support for Geometry Expressions 3.0.8 ML.ra by contacting the developer at info@geometryexpressions.com or visiting their support page . You can also find some FAQs and tips on their website.

• Q: What are some other products from Saltire Software?

• A: Saltire Software also develops Mechanical Expressions , which is an extension of Geometry Expressions that adds mechanics functionality, such as forces, moments, velocities, accelerations, etc. They also develop Math Illustrations , which is a simplified version of Geometry Expressions that focuses on creating diagrams for math education.

• Q: What are some other software for symbolic geometry?

• A: Some other software for symbolic geometry are GeoGebra , which is a free and open-source software that combines geometry, algebra, calculus, statistics, and more; Cinderella , which is a software that uses complex analysis to create dynamic geometry; and Cabri Geometry , which is a software that uses Euclidean constructions to create geometric figures.