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Search Results for “Theorem”

By Nick Halsey
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

By Nick Halsey
Cyclic Quadrilateral Theorem
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.

Tags: Quadrilateral, Circle, Cyclic-Quadrilateral, Theorem, Proof, Draggable

By Phil Todd
Morley's Theorem
An Illustration of Morley's Theorem

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

By Irina Lyublinskaya
Applicaion of Rolle's Theorem
Apply Rolle's Theorem to solve problems.

Tags: calculus

By Irina Lyublinskaya
Applications of Rolle's Theorem
Apply Rolle's Theorem to solve problem.

Tags: calculus

By Irina Lyublinskaya
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

By Irina Lyublinskaya
Exploration of The Mean Value Theorem
Try different functions to explore The Mean Value Theorem.

Tags: calculus

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

Tags: calculus

By Irina Lyublinskaya
Application of Rolle's Theorem
Apply Rolle's Theorem to solve problems.

Tags: calculus

By Andrew Zhao
Euclids Elements – Book 1 – Proposition 47
The famous Pythagorean Theorem. Can you see how it works?

Tags: Euclid, Elements, Geometry, Pythagorean, Theorem


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