navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Similar Triangles Determined by Miquel Circles and the Circumcircle

Let ABC be a triangle and let , , and be points on BC, CA, and AB, respectively. Suppose that the circumcircles of , , and (the Miquel circles) intersect the circumcircle of ABC at points , , and , respectively, where , , and . Let , , and be symmetric to , , and with respect to the midpoints of BC, CA, and AB, respectively. Then and are similar.

Free Download: Mathematica Player--Runs all Demonstrations & more


Share & Bookmark This Demonstration


Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »

©  2008 The Wolfram Demonstrations Project & Contributors    Wolfram Research    Site Index    Terms of Use    Privacy Policy    RSS    Atom