000RM.dvi

10.3 Dissection of a rectangle 313

10.3 Dissection of a rectangle

LetPandQbe points on the sidesABandBCof rectangleABCD.
If the areas of trianglesAP D,BPQandCDQare equal, thenPand
Qdivide the sides in the golden ratio.
If, in addition,DP=PQ, then the rectangle is golden, and∠DP Q
is a right angle.

A B

D C

P

Q

T 1 T 2

T 3