# Euclid's Muse

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# Search Results for “Theorem”

##### Pythagorean Theorem Calculator
A simple Pythagorean Theorem calculator that accepts inputs for either two sides or one side and the hypotenuse, then calculates the remaining side using the Pythagorean Theorem. Both exact and approximate solutions are provided, as well as the complete Pythagorean Theorem version.

Tags: Pythagorean-Theorem, Triangles, Right-Triangles, Geometry, Calculator, Homework-Helper

##### Chord Angle Theorem
The chord angle theorem states that in an inscribed triangle (ABC) where A is the center of the circle and BC is a chord, and BDC is an inscribed triangle on the same chord, angle BDC must equal one half of angle BAC. Try changing the angle and moving point D and observe the theorem’s truth. Note: the measure of angle BDC is being constantly recalculated as point D is dragged, but it doesn't change because of this theorem.

Tags: Chord, Angle, Theorem, Circle, Draggable, Proof

The Cyclic Quadrilateral Theorem states that for a quadrilateral inscribed in a circle, the measures of opposite angles must add to 180 degrees. Drag the points and observe the angle measures to see how this theorem holds true.

##### Morley's Theorem
An Illustration of Morley's Theorem

Tags: Triangle, angle-trisector, Morley's-theorem, equilateral

##### Applications of Rolle's Theorem
Apply Rolle's Theorem to solve problem.

Tags: calculus

##### Applicaion of Rolle's Theorem
Apply Rolle's Theorem to solve problems.

Tags: calculus

##### Application of Rolle's Theorem
Apply Rolle's Theorem to solve problems. Given function C(x) = 6(1/x + x/(x+4)).

Tags: calculus

##### Napoleon's Theorem
Napoleon's Theorem states that if we draw an equilateral triangle on each side of a given triangle, and join up the centers of those triangles, the resulting triangle is equilateral.  In our clock, the triangle formed by the hands is green while the triangle resulting from Napoleon's construction is red.

Tags: clock

##### Application of Rolle's Theorem
Apply Rolle's Theorem to solve problems.

Tags: calculus

##### Application of The Mean Value Theorem to problem solving
Given function f(x) = (x+1)/(x-1). Show that there is no such c that f(3) = f'(c)(3-0). Why does this not contradict the Mean Value Theorem?

Tags: calculus