Yes, the Pythagorean theorem gives the exact measurements always. It can be backed up by proofs and sin, cosine, etc.
the square on the hypoteneuse is equal to the sum of the squares on the other two sides.
the integral of the square-root of (x-1)2 = x2/2 - x + C
Rene' Descartes is credited with founding rational root theorem. He also created the rules of signs to be used with solving equations.
Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)
look in google if not there, look in wikipedia. fundamental theorem of algebra and their proofs
There are a great number of different proofs of the Pythagorean Theorem. Unfortunately, many of them require diagrams which are hard to reproduce here. Check out the link to Wikipedia's page on the theorem for several different proofs.
We need more information. Is there a limit or integral? The theorem states that the deivitive of an integral of a function is the function
Pythagoras, with alternative proofs from lots of others.
theorem
Theorem
In algebra, the rational root theorem (or rational root test, rational zero theorem or rational zero test) states a constraint on rational solutions (or roots) of a polynomialequationwith integer coefficients.If a0 and an are nonzero, then each rational solution x, when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfiesp is an integer factor of the constant term a0, andq is an integer factor of the leading coefficient an.The rational root theorem is a special case (for a single linear factor) of Gauss's lemmaon the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.
I'm not very sure but I know there is over 300.
There are over 100 of them. They can be found at //www.cut-the-knot.org/pythagoras/
Yes, the Pythagorean theorem gives the exact measurements always. It can be backed up by proofs and sin, cosine, etc.
Integral calculus was invented in the 17th century with the independent discovery of the fundamental theorem of calculus by Newton and Leibniz.
Yes. There are hundreds of proofs of the theorem: some were brought together by ES Loomes in a book called The Pythagorean Proposition.