Talk:Intersecting Chord Theorem

This theorem only covers the case where $A$ lies inside the circle. Should it not be extended so as to handle the case where the chords themselves do not intersect inside the circle? that is:



--prime mover (talk) 09:31, 2 January 2009 (UTC)

hmmmm i think with chords that intersec mean that happens inside of the circunferece.. the that you said the short now are secant.. but im not sure... -- Gamma 16:43, 3 January 2009 (UTC)

It works with the point outside the circle, but generally it is then referred to as the intersecting secant theorem or the tangent secant theorem. Of course, these are just two separate cases of the Power of a Point Theorem. --Cynic-(talk) 03:08, 4 January 2009 (UTC)


 * Added above link from this discussion to the Tangent Secant Theorem which is Euclid III: 36. The Secant Secant Theorem is still to be addressed.


 * Suggest a page (in the future) which subsumes all these results into one - and perhaps with an analytic solution as well as a geometric one, because it's elegant and sweet. --prime mover 14:27, 24 July 2011 (CDT)


 * The Secant Secant Theorem is now in place as an obvious and elegant corollary of the Tangent Secant Theorem. Delightful. --prime mover 01:33, 25 July 2011 (CDT)

Point names
As it is, if you read the main page then Proof 2 starts out looking like utter nonsense, because it talks about joining points that are not the right ones from the perspective of the theorem statement. Do you want me to redraw the diagram? --Dfeuer (talk) 19:06, 18 May 2013 (UTC)


 * I was about to but GeoGebra's fallen apart on me. --prime mover (talk) 19:09, 18 May 2013 (UTC)