Bezout's Theorem states that for any two integers (a) and (b), there exist integers (x) and (y) such that (ax + by = gcd(a, b)), where (gcd(a, b)) is the greatest common divisor of (a) and (b).

The Angle Sum Theorem states that the sum of the interior angles of a triangle is always (180^\circ).

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Area of a Triangle Theorem states that the area of a triangle is equal to half the product of its base and height.

The Inscribed Angle Theorem states that in a circle, the angle formed by two chords intersecting inside the circle is equal to half the sum of the intercepted arcs.

Gauss's Formula states that the sum of the squares of the first (n) natural numbers is (\frac{n(n+1)(2n+1)}{6}).

The Derivative Theorem states that the derivative of a function (f(x)) is equal to the slope of the tangent line to the graph of (f(x)) at the point ((x, f(x))).

The Fundamental Theorem of Calculus states that the integral of a function (f(x)) over an interval ([a, b]) is equal to the area under the curve of (f(x)) between (a) and (b).

The Limit Theorem states that the limit of a sequence ((a_n)) is (L) if and only if for every (\epsilon > 0), there exists a positive integer (N) such that (|a_n - L| < \epsilon) whenever (n > N).

The Derivative Theorem states that the derivative of a function (f(x)) is equal to the slope of the tangent line to the graph of (f(x)) at the point ((x, f(x))).

The Fundamental Theorem of Calculus states that the integral of a function (f(x)) over an interval ([a, b]) is equal to the area under the curve of (f(x)) between (a) and (b).

The Limit Theorem states that the limit of a sequence ((a_n)) is (L) if and only if for every (\epsilon > 0), there exists a positive integer (N) such that (|a_n - L| < \epsilon) whenever (n > N).

The Derivative Theorem states that the derivative of a function (f(x)) is equal to the slope of the tangent line to the graph of (f(x)) at the point ((x, f(x))).

The Fundamental Theorem of Calculus states that the integral of a function (f(x)) over an interval ([a, b]) is equal to the area under the curve of (f(x)) between (a) and (b).

The Limit Theorem states that the limit of a sequence ((a_n)) is (L) if and only if for every (\epsilon > 0), there exists a positive integer (N) such that (|a_n - L| < \epsilon) whenever (n > N).