# Thread: Geometrical contractions.

1. ## Geometrical contractions.

Give geometrical contractions for:

$\displaystyle \sqrt{2}, \sqrt{2+\sqrt{2}}, \sqrt{2+\sqrt{2+\sqrt{2}}}$

2. Originally Posted by Also sprach Zarathustra
Give geometrical contractions for:

$\displaystyle \sqrt{2}, \sqrt{2+\sqrt{2}}, \sqrt{2+\sqrt{2+\sqrt{2}}}$
Constructions?

3. Originally Posted by Drexel28
Constructions?

Maybe a triangle with side lengths of the above sequence?

4. Originally Posted by Also sprach Zarathustra
Give geometrical contractions for:

$\displaystyle \sqrt{2}, \sqrt{2+\sqrt{2}}, \sqrt{2+\sqrt{2+\sqrt{2}}}$
The only contractions I understand are when women get pregnant.

Do you mean a construction which is spiraling inwards (as opposed to outwards)?

5. Originally Posted by Drexel28
Constructions?
You all need to try to construct with help of Compass (drafting) and Ruler these expression separately!(First do the easy one... sqrt{2} you need for that a straight angel and a triangle with sides length of unit.)