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17 April 2013 - 10:24 PMIs angle ABE trisected by NDA at exactly 4 graph paper squares to the left of point B along line AB ?
Again, how exactly do you determine a perfect trisection of ABE without using the graph paper as a ruler, which violates rule of using only compass and straightedge, and not ruler of any type ? It might be better that you redo graphs with plain white background, not graph paper ?
The graph paper is a drafting convenience and no measurements are made using it.
The drafting represents the geometry, which is described in the notes.
The diagram is constructable using only a straight-edge and compass.
The geometry is a suggested true trisection.
15 April 2013 - 06:51 PMMy link at < http://users.tpg.com...g_any_angle.htm >
has a new suggested trisection for comment.
05 March 2013 - 09:20 PMThe site : http://users.tpg.com...g_any_angle.htm
has been updated.
The update was incorrect, and has been removed.
18 February 2012 - 12:36 AMNo Jay, I wasn't talking about software. I was talking about methods. There are also mechanical methods that pretty much boil down to the same thing as successive approximations with SE&C and an image
youposted seems to be of this ilk.
EDIT: sorry, it wasn't you that posted it but still, all I can see that you have done is constructions where an initial angle is tripled.
If you look at Diagram-1: You can see that the trisecting angle DCI is not required to construct angle HIJ.
If you look at Diagram-2: There is no initial angle to triple.
16 February 2012 - 06:00 PMJoe, to put it briefly you are merely confusing the issue. You have not given a solution which meets the requisites of the ancient problem that was proven to have no solutions and there is no novelty that constructions of some kind exist wherin there are angles with a 3 to 1 ratio.
Do you get what I meant when I talked about successive approximations vs. a finite step SE&C construction?
I am not confused and to me the trisection problem is no more than a curious puzzle. I have no interest whatever in the software based endless approximations, as they are not USE&C constructions. My original intention with
< http://users.tpg.com..._any_angle.htmt > was feedback on the possibility of locating a 'given acute angle' within an automatic trisecting model such as Diagrams 1 and 3.
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