# Mystic cevians 2: With figure on request

Suppose:

\(\large{\frac{BB_{a}}{CC_{a}}=\frac{CC_{b}}{AA_{b}}=\frac{AA_{c}}{BB_{c}}=\kappa}\)

It may be observed then, that the cevians shall be concurrent if and only if \(\kappa = 1\). Suppose \(\kappa\) differs from \(1\) by \(\delta \%\). Then the cevians shall meet pairwise at three different points \(P_{1},P_{2}\) and \(P_{3}\).

Determine for what value of \(\delta\) will the triangle \(P_{1}P_{2}P_{3}\) have an area \(\frac{\Delta}{2014}\) where \(\Delta\) is the area of triangle \(ABC\).

\(\large{Note:}\) Report the **rounded off** value for \(\delta\), i.e. the integer closest to \(\delta\). Inspired by a popular problem, otherwise, original!