Dwees Design

The following constructions are all conic sections (as I was teaching this section to my 10th grade students) and are 'quick and dirty' constructions of conic sections. All you need to do in the examples is drag the point C left and right to see the shapes show up.

Parabola:

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Ellipse:

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Hyperbola:

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I got it working on Ubuntu. Turns out the problem was my version of Java, I had 5, Geogebra says it wants 4, but apparently on Ubuntu it actually needs 6.

Whatever, it works, cheer! I love Geogebra, I'm not ready to give it up.

So I just started using Ubuntu, and decided that I needed to set up my Ubuntu installation with all of the cool cross-platform programs I've been using in Windows. I swapped Wamp5 for Lampp, and am using Eclipse successfully instead of Programmer'as Notepad. It's only been a couple of days, but so far I am pretty happy. Apt-get is my new favourite command.

You can use this applet to show your students how to examine cubic polynomials and determine the effect of changing the 4 coefficients of the equation .

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In this applet, we can see visually what happens when we multiply two complex numbers (each of which has a length of 1). Vector u, and vector v are multiplied to give vector w.

Try dragging B and C, the endpoints of v and u respectively to try and see what the result of the multiplication of two complex numbers is.

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This applets allows the user to see the complete construction of all 3 angle bisectors of a triangle.

Notice anything about the three bisectors? Where do they intersect?

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This applet allows users to see a quick animation of how to construct a perpendicular bisector.

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Below is a short step by step animation that shows the steps in constructing an angle bisector.

If you press play, you can see the steps animated one at a time.

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This applet shows you how the distance formula varies as you change the position of the points.

Drag A or B and see the effect on the distance formula.

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Created by David Wees on August 30th, 2007 using GeoGebra - Dynamic Mathematics for Schools

This applet confirms that no matter what triangle you use, the Sine law applies.

Drag A, B or C and see the effect on the Cosine Law.

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Created by David Wees on August 30th, 2007 using GeoGebra - Dynamic Mathematics for Schools