Euclid's Muse

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Search Results for “Pythagorean-Theorem”

By Nick Halsey
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

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

By Irina Lyublinskaya
Bhaskara’s Proof
This app allows you to explore algebraic proof by the ancient Hindu mathematician Bhaskara, who used the properties of similarity to prove the theorem.

Tags: Pythagorean-Theorem, algebraic-proof, right-triangle, middle-school, similarity, ratio

By Phil Todd
Euclid 1:47
Euclid's proof of the Pythagorean Theorem is illustrated.

Tags: Pythagoras, Pythagorean, Euclid

By Irina Lyublinskaya
Proof by Shear Transformation
This app allows you to explore geometric proof that is a variation of the original Euclid’s proof. In this proof, the shear transformation is used to change the shapes without changing their areas.

Tags: Pythagorean-Theorem, shear-transformation, common-core, middle-school, geometry, proof

By Irina Lyublinskaya
Garfield's Proof
This app allows you to explore the algebraic proof offered by James A. Garfield, the twentieth president of the United States. He discovered this proof five years before he became the President.

Tags: Pythagorean-Theorem, algebraic-proof, area, middle-school

By Irina Lyublinskaya
Pythagoras' Proof
This app allows you to explore geometric proof offered by Greek mathematician Pythagoras himself.

Tags: Pythagorean-Theorem, right-triangle, geometric-proof, middle-school

By Aidan Wenzel
Sliding Ladder Problem
One of the first calculus class problems is the sliding ladder. In this problem, a ladder is resting against a wall when, all of a sudden, it starts sliding down! In this problem you're solving for dx/dt or the rate at which the point B is moving away from the wall (point C). Input constraints: -The rate of slide must be negative for the ladder to slide down -The initial height of the ladder must be less than the ladders length

Tags: Ladder, Calculus, Derivatives, Pythagorean-Theorem

By Phil Todd
Pythagoras generalization
A generalization of the Pythagorean Theorem, known to the ancients. The purple parallelogram is the same area as the two blue ones combined. Can you see why Pythagoras is a special case of this theorem?

Tags: Pythagoras, triangle, parallelogram


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