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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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