Let A, B be two points on the bank of a ...

Let A, B be two points on the bank of a straight river, and C, D points on the other bank, the directions from A to B along the river being the same as from C to D.
If `Ab = a, angleCAD = alpha, angleDAB = beta, angleCBA = gamma`, then prove that `AB||CD` and `CD:AB = (sin alpha sin gamma)/(sin beta sin (alpha + beta +gamma))`

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