rotated-orthogonal

d_{1} = 1 (slider from -5 to 5)
d_{2}: sqrt(2)
c: 1 / sqrt(2)
k: ((d_{1} * d_{2}) * c)
m_{1}: 1 / sqrt(3)
m_{2}: (-sqrt(3))
e: sqrt((d_{1}^(2) * d_{2}^(2)) - k^(2))
A: (d_{1}^(2) * m_{2}) - (d_{2}^(2) * m_{1}) - (2 * e)
B: (d_{2}^(2) * m_{2}) - (d_{1}^(2) * m_{1}) + (2 * e)
C: (2 * (d_{2}^(2) - d_{1}^(2) - ((m_{1} + m_{2}) * e)))
D: (k^(2) * (m_{1} - m_{2}))
eq1: (A * x^(2)) + (B * y^(2)) + ((C * x) * y) + D = 0
f: y = (m_{1} * x)
g: y = (m_{2} * x)