Carnot's Theorem
Revision as of 09:21, 26 August 2008 by 1=2 (talk | contribs) (New page: '''Carnot's Theorem''' states that in a triangle <math>ABC</math> with <math>A_1\in BC</math>, <math>B_1\in AC</math>, and <math>C_1\in </math>AB<math>, perpendiculars to the sides...)
Carnot's Theorem states that in a triangle with
,
, and
AB
BC,
, and
at
,
, and
are concurrent if and only if
.
Contents
[hide]Proof
Problems
Olympiad
is a triangle. Take points
on the perpendicular bisectors of
respectively. Show that the lines through
perpendicular to
respectively are concurrent. (Source)