Skip to main content

Timeline for ten concurrent lines

Current License: CC BY-SA 3.0

6 events
when toggle format what by license comment
Dec 2, 2014 at 23:39 vote accept abel
Dec 1, 2014 at 21:19 comment added Aaron Meyerowitz @abel One way to spin it is that the result follows from "in the same direction as the line from the origin to $d+e$" So you can say it just like that and not require equal lengths -OR- do require that and say "in the direction perpendicular to the cord $de$ which, because we required that all lengths are equal, is the same direction as the line from the origin to $d+e$."
Dec 1, 2014 at 21:02 comment added abel don't you still need the lengths of $d$ and $e$ to equal so that $d+e$ and $d-e$ are orthogonal. that all five of points are on the circle is still needed.
Dec 1, 2014 at 20:55 history edited Aaron Meyerowitz CC BY-SA 3.0
added 2446 characters in body
Dec 1, 2014 at 19:38 comment added abel i like the vector proof. but does this not assume the form for the common point of intersection. even in my earlier proof, i could have argued that by symmetry the form must be as claimed.
Dec 1, 2014 at 19:28 history answered Aaron Meyerowitz CC BY-SA 3.0