Thursday, February 6, 2014

Eiffel Tower with Geometry?

When you first look at the Eiffel Tower, you may not notice all of the triangles it contains. Not only does it contain triangles but also perpendicular and parallel lines.

First I would like to show you parallel lines:


The three lines shown are all parallel. They show the two base lines and the middle line of the structure. The two bottom beams support the whole structure, allowing it to be the tallest building in Paris. The middle one also allows for stability. If any of these supports were at an angle, the whole tower would fall down.

Second, I would like to show the perpendicular lines:



















The perpendicular segment circled in red is one of the many perpendicular lines in that row. If you look to the right, you will see the up and down structure that I have traced: it creates 90 degree angles on all sides -- therefore it is a perpendicular line.

The third and the final photo is of the triangles:


















Here I show some of the many similar triangles found in the Eiffel Tower. On the left you will find the smallest triangles found in the Eiffel Tower, and on the right I combine two of the miniature triangles to make larger triangles. There are many triangles found in this tower; you don't even have to look hard.

Now I hope you can see some of the geometry in the Eiffel Tower. Just look around and you will see many geometric figures. (~KM1)

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