Geometrical contractions.

• Jan 5th 2011, 10:45 AM
Also sprach Zarathustra
Geometrical contractions.
Give geometrical contractions for:

$\sqrt{2}, \sqrt{2+\sqrt{2}}, \sqrt{2+\sqrt{2+\sqrt{2}}}$
• Jan 5th 2011, 12:48 PM
Drexel28
Quote:

Originally Posted by Also sprach Zarathustra
Give geometrical contractions for:

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

Constructions?
• Jan 5th 2011, 01:38 PM
pickslides
Quote:

Originally Posted by Drexel28
Constructions?

Maybe a triangle with side lengths of the above sequence?
• Jan 5th 2011, 04:47 PM
wonderboy1953
Quote:

Originally Posted by Also sprach Zarathustra
Give geometrical contractions for:

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

The only contractions I understand are when women get pregnant.

Do you mean a construction which is spiraling inwards (as opposed to outwards)?
• Jan 6th 2011, 03:40 AM
Also sprach Zarathustra
Quote:

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.)