Recent content by modularmonads

  1. modularmonads

    [Euclidean Geometry] Kiselev's Plainimetry Question 242

    Ah. I see. I feel bad for not being able to solve it on my own. :frown: Thanks for your help!
  2. modularmonads

    [Euclidean Geometry] Kiselev's Plainimetry Question 242

    Thanks for replying! Oh, I didn't think about that. If we consider D and E to be points from which tangents are drawn (A and C from D and B and C from E) the quadrilaterals OADC and OCEB will be kites. Therefore, OD will bisect AC and OE will bisect BC at 90 degrees. This will be true no matter...
  3. modularmonads

    [Euclidean Geometry] Kiselev's Plainimetry Question 242

    Homework Statement Two lines passing through a point Μ are tangent to a circle at the points A and B. Through a point С taken on the smaller of the arcs AB, a third tangent is drawn up to its intersection points D and Ε with MA and MB respectively. Prove that (1) the perimeter of ▲DME, and (2)...
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