Results 1 to 7 of 7

Thread: misli

  1. #1
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    misli

    misli-1a.png
    - given the angle C_1C_2C_3

    - straightedge and compass , straight line C_2C_3 , is divided into two equal parts, point C_4
    - straightedge and compass , straight line C_2C_4 , is divided into two equal parts, point C_5
    - compass C_2C_5 , from the point C_2, point C_6
    - straightedge and compass, angle bisection C_1C_2C_3 , point C_7
    - straightedge , straight line C_2C_7


    - compass C_2C_3 , from the point C_2 , arc C_3C_1
    - compass C_5C_6 , from the point C_3 , point D_1
    - compass C_5C_6 , from the point D_1 , point D_2
    - compass C_5C_6 , from the point D_2 , point D_3
    - straightedge , straight line C_3D_3
    - straightedge and compass, angle bisection C_3D_3 , point D_4
    - straightedge , straight line C_2D_4 , point D_5


    YOU TRY TO KEEP ... Figure down
    misli-1b.png
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    Re: misli

    - straightedge and compass , perpendicular to the line a_1 straight line C_2C_7
    - compass C_3D_5 , in point C_2 , points E_1 and E_2
    - straightedge and compass , perpendicular to the line a_2 line a_1 , point E_3
    - straightedge and compass , perpendicular to the line a_3 line a_1 , point E_3
    - straighedge , straight line E_3E_4 , point E_5
    - straightedge and compass , perpendicular to the line a_4 straight line C_5C_6 , point E_6
    - straightedge and compass , perpendicular to the line a_5 straight line C_5C_6 , point E_7

    YOU TRY TO KEEP ... Figure down
    misli-1cc.png
    Last edited by msbiljanica; Jan 1st 2017 at 06:13 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    Re: misli

    - straightedge and compass , perpendicular  b_1 straight line C_2D_5
    - straightedge and compass , perpendicular b_2 on the b_1 from point D_3 , straight line D_6D_3
    - straightedge and compass , perpendicular b_3 on the b_1 from point D_2 , straight line D_7D_2

    YOU TRY TO KEEP ... Figure down
    F_1 is located on the arc C_3C_1 , C_3F_1=C_1F_1
    misli-1d.png
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    Re: misli

    - straightedge , straight line C_2F_1 , C_2F_1=C_2C_3
    - compass C_2E_5 , from point C_2 , point F_3
    - straightedge and compass , straight line the normal to C_2F_3
    - compass D_6D_3 , from point C_2 , point F_4
    - straightedge ,straight line extension C_2F_4
    - compass D_7D_2 , from point C_2 , point F_5
    - straightedge and compass , normal from point F_5 na duž C_2F_1 , point F_6

    Solution - in the picture below
    misli-1e.png
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    18,587
    Thanks
    2596

    Re: misli

    Do you have a question? What is supposed to be true of these? What was your point in posting them?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    Re: misli

    - compass C_2F_6 , from point E_6 , point A_{12}
    - compass C_2F_6 , from point E_7 , point A_{13}
    - straightedge , semi-line C_2A_{11}
    - straightedge , semi-line C_2A_{12}

    trisection is complete, any error !!!

    this is true for angles 180^o<\alpha<0^o , larger angles of first division of the 180^o

    are you ready for the process of construction of the regular polygon

    ------
    HallsofIvy -question
    1.if my trisection possible ?
    2.from the picture below, if you can figure out which actions the ball (sphere) applied in the plane ?
    arc A_7A_8=A_9A_{11}=A_{11}A_{12}=A_{12}A_{10}=\frac{A  _9A_{10}}{3}
    misli-3d-sfera.png
    misli-y3d-sfera.png
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Jan 2012
    Posts
    68

    Re: misli

    valid for the odd a={3,5,7,9,11,...}


    Proper ninth angle
    misli-2.png
    - straight line A_1A_2
    - straightedge and compass , \frac{A_1A_2}{10} , point A_4 , a+1 , a=9. followed by .9+1=10
    - straightedge and compass , A_1A_3 normal A_1A_2 , angle C_3C_1C_2=90^o
    - compass A_1A_4 , from point A_5
    - straightedge , straight line A_4A_5
    - straightedge and compass , bisection arc A_2A_3 , point A_6

    YOU TRY TO KEEP ... Figure down
    misli-22.png
    Follow Math Help Forum on Facebook and Google+


/mathhelpforum @mathhelpforum