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You seem to have a block to seeing my point. An argument on the character of the lines does not warrant Creighton’s (or anyone else’s) “telling” readers (by way of a drawing) that there are no such lines. I can not see any legitimate objection to telling the reader the truth about the evidence.
You are certainly welcome to draw some circles, scan the drawings and show us what you have in mind.
If a dot, so what? Yes! That the circle is dotted is a necessary but not sufficient condition of Creighton’s conjecture being correct. Were it ever so clearly a dotted circle, it would be open to other, entirely innocuous interpretations.