Results 1 to 3 of 3

Math Help - common point

  1. #1
    Newbie
    Joined
    Oct 2013
    From
    London
    Posts
    1

    common point

    There is a circle o and his chord AB which is not his diameter. On circle o we selcet point P, various from points A and B. Points Q and R lies respectively on lines PA and PB where QP=QB and RP=RA. Point M is a center of section QR. Prove that all obtained in this way lines PM (equivalent different location of point P on circle o) have a common point.

    I came to that we can build a circle on quadrangle ABQR, but I do not know what do next.
    Last edited by john2323; October 11th 2013 at 07:50 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2010
    Posts
    1,765
    Thanks
    683

    Re: common point

    I'm sorry, but I have no clue what you are saying. Could you draw a picture, scan it, and upload it?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member pflo's Avatar
    Joined
    Apr 2009
    From
    Albuquerque, NM
    Posts
    155
    Thanks
    7

    Re: common point

    Here's what I get out of the description.
    common point-common-point-mathhelp.png
    Notice that as P moves around, the line will rotate around a point outside the circle near arc AB.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. common point of the graph of function
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 22nd 2012, 08:02 AM
  2. axis of symmetry common point
    Posted in the Geometry Forum
    Replies: 3
    Last Post: September 16th 2010, 05:38 AM
  3. not parallel, then unique point in common
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: March 2nd 2010, 05:35 PM
  4. Circumcircles meeting at a common point
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 10th 2009, 07:20 AM
  5. Finding a point in common
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 19th 2007, 04:42 AM

Search Tags


/mathhelpforum @mathhelpforum