query: Is this a circular proof of Pythagorean Theorem? If not, are there better ones?
positive_passages.docid: 37995
positive_passages.text: What is the most elegant proof of the Pythagorean theorem?
negative_passages.docid: 137175
negative_passages.text: Fermat's little theorem proof by Euler
negative_passages.docid: 69631
negative_passages.text: Prove that: $ \cot7\frac12 ^\circ = \sqrt2 + \sqrt3 + \sqrt4 + \sqrt6$
negative_passages.docid: 126199
negative_passages.text: Proof of $\pi$ not being a quadratic irrational number.
negative_passages.docid: 56320
negative_passages.text: Prove that the circumradius of $\triangle PAB$ is constant
negative_passages.docid: 19216
negative_passages.text: Proving that $\arctan(x)+\arctan(1/x)=\pm \pi/2$, could this line of reasoning possibly be correct?
negative_passages.docid: 25079
negative_passages.text: Prove the opposite angles of a quadrilateral are supplementary implies it is cyclic.
negative_passages.docid: 12732
negative_passages.text: Do any (non-trivial) 2-chains of Pythagorean triplets exist?
negative_passages.docid: 137283
negative_passages.text: Is there geometric proof for the equation of hyperbola using only constant distance from two foci definition?
negative_passages.docid: 67605
negative_passages.text: Different proof that $\sqrt{2}$ is irrational
negative_passages.docid: 18546
negative_passages.text: Geometric intuition for $\pi /4 = 1 - 1/3 + 1/5 - \cdots$?
negative_passages.docid: 148934
negative_passages.text: Proof of Archimedes Principle
negative_passages.docid: 90276
negative_passages.text: Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
negative_passages.docid: 40122
negative_passages.text: Why does the Euclidean algorithm work for polynomials? What is the proof?
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 6443
negative_passages.text: Is there a proof for this Fibonacci relationship?
negative_passages.docid: 146867
negative_passages.text: Combinatorial Proof Of A Number Theory Theorem--Confusion