Step by step construction of the golden section of a segment, using the Pipping's method - compass only.[br][br][br]Click [url=https://www.geogebra.org/m/RB52WUjZ]here[/url] for the Italian version.[br][br][br]
When the construction is finished, use the [i]Distance[/i] tool of GeoGebra and measure the segments [i]AB, [/i][i]AP [/i]and[i] PB.[/i][br]Move points [i]A [/i]and[i] B [/i]and write down the measures of the segments, then create a table containing a sample of measures of segment [i]AB[/i], the corresponding measures of segments[i] AP and PB[/i], and the ratios [math]\frac{AB}{AP}[/math]and [math]\frac{AP}{PB}[/math].[br][br]What do you observe?