Euclid's Muse

This app allows you to compare areas of a parallelogram and a rectangle in order to discover the formula for the area of the parallelogram.

This app allows you to practice addition and subtraction of linear monomial expressions with rational coefficients.

In this app you will use properties of addition and multiplication to simplify linear expressions with rational coefficients.

In this app you will use distributive property to factor and expand linear expressions with rational coefficients.

This app allows you to practice addition and subtraction of linear binomial expressions with rational
coefficients.

This app allows you to practice addition and subtraction of linear monomial expressions with rational coefficients.

This app allows you to explore algebraic proof by the ancient Hindu mathematician Bhaskara, who used the properties of similarity to prove the theorem.

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.

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.

This app allows you to explore geometric proof offered by Greek mathematician Pythagoras himself.

This app allows you to compare areas of an arbitrary trapezoid and a parallelogram in order to discover the formula for the area of the trapezoid.

This app allows you to compare areas of an arbitrary triangle and a parallelogram in order to discover the formula for the area of the triangle.