Quote:
Originally Posted by Archy
 We all live in curved space so we don't notice it.
I don't know about an ant's perception, but when I travel to the Northern Hemisphere I don't notice that I am upside down. Is the reference to Euclidian space a reference to plane geometry? |
Hello George,
In this context Euclidian space refers to degrees of freedom.
So in 3-D Euclidian space we can measure length, width and height dimensions or a combination of the three.
In 2-D space we can measure length and width dimensions or a combination of the two.
Using your plane analogy, whether you are upside down or not, can be defined by your position
in space (instead of the Earth's surface) by using 3-D Euclidian coordinates.
Steven