Specious proof that all triangles are equilateral
by Lewis Carrol
AP bisects
/
BAC
QN is the perpendicular bisector of BC
Meet at N
AR = AS
QB = QC
RQ = SQ
/
QRB
=
/
QSC
= 90°
\
RB = SC
\
AB = AC
Repeat with B as the apex, and
BC = BA
\
all triangles are equilateral.