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#1 2011-04-07 13:30:58
- circlemaker
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Geometry: Using intersecting circles to obtain square roots
Here's a simple geometric method for obtaining a square root using circles.
1: Start with a circle.
2: Duplicate & divide by the number you want to square
3: Make two intersecting circles which touch the inside of the outer circle and the outside of the inner circle.
4: Where they intersect is the square root.
http://www.perspectiveinfinity.com/Circ … roots.html
#2 2011-04-08 07:07:57
- MathsIsFun
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Re: Geometry: Using intersecting circles to obtain square roots
Very cool stuff
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
#3 2011-04-27 08:33:08
- John E. Franklin
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Re: Geometry: Using intersecting circles to obtain square roots
Beautiful graphical calculator of circles. I tried many numbers from 1 to 1000,
including a few with halves thrown in. The even and the odd ones are
different the way they intersect. This is really fun to try to memorize!!
Imagine for a moment that even an earthworm may possess a love of self and a love of others.
#4 2011-04-28 13:47:47
- circlemaker
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Re: Geometry: Using intersecting circles to obtain square roots
John E. Franklin wrote:
The even and the odd ones are
different the way they intersect.
A perhaps more "proper" version would use a circle in the middle for the odd numbers as well, but I didn't like having half circles on the sides.