Strange expres. for the deriv. of solid angle

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hello
please see attached snapshot from the book of Ligthmann & al. (problem book in relativity and gravitation).
Can somebody please explain the expression for the derivative of the solid angle ?
here it is given as dvxdvy where the v's are speeds !!
How come this is so ?
Thanks,
 

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The solid angle is dvxdvy/v2 but the problem is about photons so v = c = 1 in natural units.
 
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