Get Math Help

GET TUTORING NEAR ME!

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

    Spieker Circle

    Alternate name
    Definition

    The common incircle of the medial triangle Δ M_A M_B M_C and the congruent triangle Δ Q_A Q_B Q_C, where Q_i are the midpoints of the line segment joining the Nagel point Na with the vertices of the original triangle Δ A B C. The Spieker circle has circle function l = - (-3 a^2 + 5b^2 + 5c^2 - 6b c + 2a b + 2a c)/(16b c), which does not correspond to any named center. The center of the Spieker circle is called the Spieker center Sp, and the circle has radius R_S = 1/2 r, where r is the inradius and s is the semiperimeter of the reference triangle.

    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.