I think it might mean that line SB bisects angle OBC. Here's a picture drawn to scale assuming that:Hi Ameer Bux:
Problem 7 is tricky because the figure is not drawn in a manner consistent with the statements about it. You might find it helpful to redraw it so that SB is a diameter of the circle ABC. At least that's how I interpret the text:"SB bisects ABC."
Ameer appears to have disappeared, which is annoying enough. But to answer your question, looking at his second picture, I think when he as a 1 and 2 at vertex A that it is a very awkward notation where it would have been much better to call them A1 and A2. Similarly the 1 and 2 at vertex R refer to angles better notated as R1 and R2. So all those 1's and 2's are different. Awful notation in his pictures.What do the numbers (1&2) in the diagram indicate? Are all angles labeled 1 supposed to be equal?
Buzz, do you have an argument for problem 8? I don't see it and I have my doubts it is even true. And I don't see proposition 1.32 at that link. ??Problem 8 is easier. I suggest you look up
Hope this helps.
Hi LCKurtz:Buzz, do you have an argument for problem 8?
From the link:And I don't see proposition 1.32 at that link. ??
Maybe I am missing something but it looks quite easy.Hi Buzz. I wasn't trying to point out errors though, I'm really wondering if his Problem 8 is true. So I was hoping you had a proof. I can't figure out a proof and I drew what I consider to be a reasonably accurate figure which leads me to believe it may be false.