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Euclid Axiom

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Introduction and Euclid's Axioms

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Why is Axiom 5, in the list of Euclids axioms, considered a universal truth? (Note that the question is not about the fifth postulate.)

In the given figure (1) If /_1=/_2 and /_2=/_3 then prove that /_1=/_3 (2) If /_1=/_3 and /_2=/_4 then prove /_A=/_C (3) If /_1=/_3,/_2=/_4 and /_3=/_4 write the relation between /_1 and /_2 using Euclids axiom

Introduction|Definitions Of Euclid's |Axioms And Postulates|Axioms, Postulates And Theorems

It is known that if x+y=10 , then x+y+z=10+z . The Euclid's axiom that illustrates this statement is