Saturday, July 08, 2006

OTS -- Strange Geometric Proof?

...trisected an angle using only compass and straight edge?
.
.,¸¸,.»§«,¸¸,.·´¯`·.,¸¸,.»§«*¥*»§«,¸¸,.·´¯`·.,¸¸,.»§«·.,¸¸,.
.
I was hoping this will just click for somebody... regarding the picture above...

At a breakfast years ago in my parents old home, a breakfast I did not attend, my father (a retired Engineer who once worked with Stanton Friedman at AeroetJet General testing atomic engines) sat with Dutch Schweggman, my *grandfather* (widowed grandmother's second husband and an award-winning math whiz) when Dutch abruptly said, "I think I can prove the (BLANK) theorem."

"Nonsense," my Father said, a bona fide whiz and aeronautical architect in his own right... "that's not possible."

Dutch constructed the picture provided with a straight-edge and compass. At its completion my Dad was reported to have said, "Well, I'll be damned Dutch... I think you did it."

There was some excitement, many "I'll be damned" exhortations. End of story.

My Mother, now deceased, who did attend, saved the paper above (also at http://www.alienview.net/schwegg.jpg) and the bones of the tale.
~~~~~~~~~~~~
One lady writes:
~~~~~~~~~~~~
"Every time I awoke during the night this diagram was in my mind. I may be wrong but I think he may have trisected an angle using only compass and straight edge. This is supposed to be impossible ---at least no one had ever succeeded. If indeed this is what the diagram is about, it would still have to meet an accepted geometric proof. I'm hooked. I want to play with it for a while and figure out the relationships if I can. I think "H" might be the center of the concentric circles."
.
Does anyone have any ideas?
.