Step by step construction of the golden ratio segment, using the Hofstetter's method (2005) - compass with fixed radius.[br][br]Use the arrow buttons to display the construction step by step.[br]
When the construction is finished, use the [i]Distance[/i] tool of GeoGebra and measure the segment [i]AB[/i] and the segment [i]AP.[/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 segment[i] AP[/i], and the ratio [i]AB [/i]/ [i]AP[/i].[br][br]What do you observe?