Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Prop. 14 II Euclid Question

  1. Feb 1, 2012 #1
    We are given that ABCD is a rectangle and AE is the diameter of the circle, and BFGH is a square. I want to figure out how to show that ABCD has the same area as BFGH. Where do I even begin? (see attached picture)

    Attached Files:

  2. jcsd
  3. Feb 1, 2012 #2


    User Avatar
    Science Advisor
    Gold Member
    2017 Award

    The only thing you have to go on is the BE equals BC.

    Note that if x = sin(a) then b = 1 - cos(a)
    Last edited: Feb 1, 2012
  4. Feb 2, 2012 #3


    User Avatar
    Gold Member

    prove that measure x equals the square root of a times b. complete the circle and extend line BF through the completed circle.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook