Compass and Straightedge Construction Using GeoGebra

In Geometry, the term construction refers to the ‘drawing’ of geometric objects such as lines and circles with only the use of compass and straightedge. Construction does not allow measurement of both lengths and angles. The earliest study of Geometry, particularly parts of Euclid’s Elements focused on “building” Geometry based on compass and straightedge construction. In the following discussion, we will refer to compass and straightedge construction as simply construction.

 

Compasa and Straightedge

Compass and Straightedge

Using dynamic geometry software (DGS), we can extend construction to computers, tablets, and mobile phones. In this post, we will learn how to use GeoGebra to mimic construction. For those who do not know about GeoGebra yet, it is a free multi-platform mathematics software (not just a DGS) that can be used for teaching and learning mathematics. You may download it here and if you want to learn about it extensively, I have created numerous tutorials on how to use it here» Read more

How to Construct a GeoGebra Heart Graph

We enjoyed creating  a two dimensional heart graph and three dimensional heart graph using the Google search engine, but we can also construct a GeoGebra heart graph. In this post, we learn how to create a heart graph using GeoGebra. The equation of this graph is a lot simpler compared to the first two (well, because it is in factored form).

How to Construct a GeoGebra Heart Graph

Open GeoGebra. You might want to display the Axes by pressing Graphics at the upper right of the Graphics view and then choosing the Axes icon.

geogebra heart graph

In the Input Bar, type (x^2 + y^2 – 1)^3 – x^2y^3 = 0 and the press the Enter key on your keyboard. The equation you typed is equivalent to  » Read more

Week in Review 1 – March 2012

Welcome to another edition of Week in Review. Looks like another busy week is ahead. I will be in Baguio for a 3-day training, so I am not sure if I’ll have the time to write there.

For a little bit of promotion, Baguio is the summer capital of the Philippines.  The temperature there is relatively lower (15˚C to 26˚C, but can drop down to 7˚ C) compared to Metro Manila (23˚C-37˚C). It’s a great place to go if you want to escape summer heat.

Anyway, before my Baguio escapade, here are the list of post for this week.

Mathematics and Multimedia

My Other Blogs

Updated GeoGebra Tutorials (now in version 4.0)

Explore Math and Multimedia

That’s all for this week. Have a happy weekend everyone.

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