A:B is to C:D
can the relationship of A to B be the same as D to C?
IE.
Shell: Turtle : Bird: Feather
A:B is to C:D This isn't a proper way of writing what you mean. g. "A is to B as C is to D".
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A:B is to C:D
This isn't a proper way of writing what you mean. You can say e.g. "A is to B as C is to D".
can the relationship of A to B be the same as D to C?
No.
Shell: Turtle : Bird: Feather
That is an incorrect analogy. It is backwards.
Shell is to turtle as Feathers are to Bird