Answer the following: (Mathematics in the Modern World Subject)

1. Tabulate the differences of Euclidean, elliptic, and hyperbolic geometry according to the four aspects below. Use one sentence to address each of the three aspects per geometry (a total of nine sentences and three sketches are expected in the table).

Version of the Fifth Postulate (Assume a line and a point.)

Number of lines parallel to a given line, passing through a point apart from the given line.

Sum of interior angles of a triangle on its surface.

Draw a square on the surface of the indicated geometry. HINT: A table with three columns and four rows (or four columns and three rows) is expected.