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Q: Euclidean Geometry ( No Answer,   0 Comments )
Question  
Subject: Euclidean Geometry
Category: Science > Math
Asked by: india500-ga
List Price: $10.00
Posted: 26 Sep 2004 05:00 PDT
Expires: 28 Sep 2004 09:46 PDT
Question ID: 406440
1)Explain how SMSG Postulate 2 can be derived from Postulate 3.
2)Outline a proof describing how SMSG Postulate 4 can be deduced from
the other SMSG postulates.
3)Which of Birkhoff's axioms implies SMSG postulate 15?
4)Using Hilbert's axioms prove that two lines that are parallel to the
same line are parallel to each other
5)Read the following statement: Given a line L1, and a point P,that is
not on L1,there exists at least one line L2 such that P in L2 and L1
intersection L2 is equal to empty set.  Do you think the following
statement can be proved as a theorem from Euclid's postulate set? If
so,outline a proof for the statement.If not,explain why not.
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