SC: And I have to disagree, Don. I see nothing arbitrary at all in using the Orion Belt stars (with G1 and G3 fulcrum) and then, in a simple and systematic fashion, determining the bases of all three Gizamids to a very high degree of accuracy, including their order, their orientation and also predicting that G3 would be rectangular in shape, an apparent fact (awaiting confirmation) that you have long resisted in spite of Lehner's (unpublished) data.
DB: And I will repeat you have done no such thing. You have shown and proved absolutely nothing other than your slight of hand with a protractor, meaningless I might add..
SC: So, Don, when you finally realise that a rectangle can indeed be created from lines L1 and L2 in my diagrams, you simply disparage the finding as “…sleight of hand with a protractor…” G3 is rectangular, Don. Period.
DB: …and a rectangle which you have still failed to show has any logical reason for being. You draw a rectangle but what is it based on ? it is almost ridiculous because it has no rhyme or reason.
SC: Clearly, Don, you have a problem with the resulting rectangle base of G3. It is what it is and is simply an outcome of the geometry involved. And there is no “…sleight of hand…” involved - just geometry. And, as you said yourself in so many words, math don’t lie. I can only imagine then that your complete reluctance to accept this finding – that G3 is indeed a slight rectangle – has something to do with how it might impact upon your own research which (I believe) has always insisted on G3 being square. Ah well – such is life.
DB: Do explain to us why it gets larger as you turn a mysterious angle, but from what base line you do not tell us. It is totally without logic and reason.
SC: You place L1 and L2 lines within a square frame, Don, with L1 oriented at 48* within the square frame. When you have your circle around L2 centre, you simple extend your lines from L2 endpoints in parallel to the frame. If you rotate L1, you rotate L2 to a greater or less angle relative to your outside frame. When you then draw your lines from the endpoints of L2 (keeping them parallel to the outside frame), they will create different sized boxes, mostly rectangle, sometimes square.
DB: In your diagrams you give the illusion that the bottom of the "rectangle" is parallel with your origin line but it can't be because the initial angle by your own words was 95 degrees.
SC: See above.
DB: And try as I might I have been unable to get a rectangle from your initial diagonal. Please show us how it is done in relation to the entire diagram.
SC: See above.