*Macmillan Science Library: Mathematics*. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.

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## Golden Section

To understand what constitutes a golden section, consider the top line segment shown on the next page. The line segment has three of its points marked. Point *P* partitions the line segment *AB* into two smaller segments: from left endpoint *A* to point *P* (*AP*), and from *P* to right endpoint *B* (*PB*). The line segments *AP* and *PB* are also shown individually.

A "golden ratio" can now be formed as the ratio of one line segment to another line segment. Point *P* divides the entire line segment *AB* into a golden section if the following equation is valid:

*AP/AB = PB/AP.*

In other words, the length of line segment *AP* divided by the length of the entire line segment *AB* is a ratio, or number, and that number is the same as the ratio of the shortest line segment *PB* and the segment *AP...*

This section contains 557 words(approx. 2 pages at 300 words per page) |