in this paper, we construct two new primitive Evans triangles by using the Pell equation x^2-Dy^2=1, and give the two forms of the Evans triangle and the corresponding Evans ratio, we also get a new conclusion that the ratio is an integer from a few different forms of the bottom and high.
In this paper we study the generalization of the Brocard congurations.
The denition of q-period broken line is given and then the new necessary and
sucient condition about the existence of two conjugate Brocard points of the
qperiod loop broken line is investigated. Based on the past research, a geometric
method for the construction of all possible loop broken lines with conjugate Brocard
points is developed.