Question: Math history - Axiomatic systems - Euclidean geometry (a) One of the four parallel line conjectures we made in class was: If ll and Z2

Math history - Axiomatic systems - Euclidean geometry

(a) One of the four \"parallel line\" conjectures we made in class was: If ll and Z2 are parallel lines crossed by a transversal, then the consecutive interior angles formed are supplementary. Restate Euclid's 5th Postulate in similar terms. (b) Complete the following: Given: I live in LA => I live in California Then: I don't live in California => I don't live in (c) How is part (b) related to part (a)? ((1) Use part (c) to prove that the \"parallel line\" conjecture in part(a) is equivalent to Euclid's 5th Postulate

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