Question

Satisfy yourself that the first 3 statements in Equivalent Forms of Euclid's Fifth Postulate are consequences of Axiom P-1: These statements are: 1. The area of a right triangle can be made arbitrarily large 2. The angle sum of all triangles is constant 3. The angle sum of a simple triangle=180 Axiom P-1 states: If l is any line and P does not belong to l, there exists a unique line passing through P parallel to l (in the plane of P,l)

Answer 1

Let e be a line p be a point not on l, so through p, it. this in there called Enists only one line parallel to "play Fair's aniam" 1. there Enists a pair of lines Every where Equidistant from one another. If a straight line intersects any one of two parallel lines, then it will intersects the other also. Straight mes parallel to the same straight are parallel to one and this 4. The sum of and it is angles of any triangle is a constant eand to two right angles N