Which tool is very suitable to draw geometry picture for mathematics?

Question

Such as :

What is the most convenient tool to draw pictures like this?

I want to find a tool which will automatically detect what I need.

For example, when I need to draw a line vertically, it can detect that and stay vertically for a while to let me understand in that direction is a vertically line.

Thank you~

Answer 1

You would use a mathematical application like Geogebra, you can directly introduce the equation of the Parabola or create it using its focus (F) and its linear directrix (H). Using the relation: "any point P on the parabola will be equidistant from both the focus and the linear directrix".

You can use another mathematical applications, but Geogebra is the most intuitive and you can introduce an equation to be drawed or draw directly in the cartesian plane. And you can export your drawings as an image or an interactive applet.

In Geogebra is possible to create another geometrical entities as lines, points, circles, etc. and create another ones using intersections, angle and linear segments bisections, etc.

I am a math teacher and a programmer who teaches my students Geogebra as a tool for learning Mathematics.

Answer 2

There are many tools. For mathematical diagrams, I would consider at least:

• GnuPlot
• Your preferred text-editor for SVG
• Mathematica

But I am not a mathematician.