By Gabriel Xu, VI Form

Non-Euclidean Geometry

What if math students no longer had to study similar triangles because they simply don’t exist?

What if you could draw as many lines parallel as you want to a given line from only one point?

What if angle-angle-angle was enough to prove congruence of triangles?

Would these changes to our known geometric system finally make it easier, or would they  further contribute to its fascinatingly intricate nature?

Studying Non-Euclidean Geometry aims to answer these questions. (more…)