There are two sets of parallel lines, th...

There are two sets of parallel lines, their equations being `x cos alpha + y sin alpha = p`; p =1,2,3,....,m and `y cos alpha - x sin alpha = q`; q = 1,2,3,....,n(n> m) where a given constant. Show that the lines form `1/6 m (m-1) (3n-m-1)` squares

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