You list the steps of the proof in the left column, then you write the matching reasoning for each step in the right column.
Chat with our AI personalities
An indirect proof is a proof by contradiction.
The proof is pretty simple, but hard to see without the pictures. SO here is a link to the proof with some pics. http://www.apronus.com/geometry/triangle.htm The answer depends on your geometry: In Euclidean geometry, the angle sum is 180 degrees, in Hyperbolic geometry it is less than 180 degrees, and in Elliptical geometry it is greater than 180 degrees.
Theorems is what is proven with the geometric proof.
One of the fundamental assumptions made in Euclidean Geometry is that space is flat. This is not true. Albert Einstein was able to show, both in mathematical proof and in actual demonstration, that space was curved.Euclidean geometry, as Euclid intended it, also assumes 2 or 3 dimensions of space. Euclidean geometry has been extended since then to arbitrary dimensions, though many physicists now believe that space has a full 11 dimensions.
Euclidean geometry, non euclidean geometry. Plane geometry. Three dimensional geometry to name but a few