Question: Prove that if {C,D} divides AB harmonically on the line l and {C',D'} divides A'B' harmonically on the line l' then there exists a unique

Prove that if {C,D} divides AB harmonically on the line l and {C',D'} divides A'B' harmonically on the line l' then there exists a unique projectivity that maps A, B, C and D to A', B', C' and D', respectively.

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