Na stranici
trokuta
nalaze se točke
i
tako da je točka
između
i
. Neka je
sjecište kružnice opisane trokutu
s pravcem koji prolazi kroz točku
i paralelan je s
tako da se točke
i
nalaze s različitih strana pravca
. Neka je
sjecište kružnice opisane trokutu
s pravcem koji prolazi kroz točku
i paralelan je s
tako da se točke
i
nalaze s različitih strana pravca
.
Dokaži da točke
,
,
i
leže na istoj kružnici.
![\overline{AC}](/media/m/d/9/5/d95354f0f833a5fda9c16a01a878c14f.png)
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
![ABD](/media/m/a/5/4/a548bc577543629d304ecba1a042f910.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![BC](/media/m/5/0/0/5005d4d5eac1b420fbabb76c83fc63ad.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
![AB](/media/m/5/2/9/5298bd9e7bc202ac21c423e51da3758e.png)
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
![BCD](/media/m/3/e/e/3eefa3e34f78e628cbb5cd3988774661.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![AB](/media/m/5/2/9/5298bd9e7bc202ac21c423e51da3758e.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
![BC](/media/m/5/0/0/5005d4d5eac1b420fbabb76c83fc63ad.png)
Dokaži da točke
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)