4.7 Dynamic Illustration of the Definition of a
Simple
Hexagon
The human brain is the best pattern recognizer
in history
—Heinz-Karl
Winkler
Definition. A simple hexagon ABCDEF is a set of six distinct points A, B, C, D, E, F, no three collinear, called vertices, and the six distinct lines AB, BC, CD, DE, EF, FA, called sides. The pairs of points A and D, B and E, and C and F are called opposite vertices. The three pairs of lines determined by opposite vertices are called diagonal lines. The pairs of lines AB and DE, BC and EF, and CD and FA are called opposite sides. The three points of intersection of the opposite sides are called diagonal points.
In the figure of simple hexagon ABCDEF, the points I, J, and K are diagonal points and the dotted green lines are diagonal lines.
Simple Hexagon ABCDEF
Drag the vertices A,
B, C,
D, E, and
F of the simple hexagon
ABCDEF.
Timothy Peil, 7 February 2013, Created with GeoGebra |
4.7 Pascal's Theorem
© Copyright 2013 -
Timothy Peil