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Given in equation (3)

(x'-ct') = Y(x-ct) [Y = const.]

by rearrangement, it yields,

(x'-ct')/(x-ct) = Y.

But it is stated that both (x-ct) and (x'-ct') are zero, so we have "zero over zero" - a mathematical no-no.

There is surely no way something so trivial could of been over-looked when proof-reading, so I ask where it is I am going wrong in this derivation? Also, is it such the case when considering the 3D model?

Many thanks.