Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Miquel Circles

    Illustration

    Illustration

    Definition

    For a triangle Δ A B C and three points A', B', and C', one on each of its sides, the three Miquel circles are the circles passing through each polygon vertex and its neighboring side points (i.e., A C' B', B A' C', and C B' A'). According to Miquel's theorem, the Miquel circles are concurrent in a point M known as the Miquel point. Similarly, there are n Miquel circles for n lines taken (n - 1) at a time.

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.