Euclidean and non-Euclidean spaces?

657 views

Like I kinda know they have to do with actual space but what?

In: Mathematics

4 Answers

Anonymous 0 Comments

Euclid made a few assumptions of space when we developed geometry. Four of these five have turned out to be pretty accurate and applies in every situation we can think of. However the fifth one does not always apply. Specifically it is the assumption that you can draw a line that is parallel with any given line. Most of the geometry you have been taught in school assumes this and is therefore classified as Euclidean. However it does not take much to get a non-Euclidean space. For example the surface of a sphere is non-Euclidean. And most of the geometry rules no longer applies. For example a sphere can have a triangle where the sum of the angles is more then 180 degrees.

You are viewing 1 out of 4 answers, click here to view all answers.