Saturday, April 2, 2022

The nonagon

 THE REGULAR NONAGON

The regular nonagon or 9-gon has 9 lines of equal length arranged around a middle point.


The nonagon


Figure 1:The nonagon

 

The number 9 has the singularity of being a square number as well as being a number divisible by 3.

 

the nonagon



 

Figure 2:The nonagon as a squared number

 

 

The regular nonagon and numbers divisible by 3

Figure 3:The regular nonagon as a number divisible by 3

 

 

The nonagon can be constructed by neusis construction using the hexagon as a base.

 

 

Neusis construction of a regular nonagon using the hexagon as a base




Figure 4:Neusis construction of a regular nonagon using the hexagon as a base

 

The relation between the nonagon and the square root 3:

 

 

The regular nonagon and the square root of 3

Figure 5:The regular nonagon and the square root of 3


The regular nonagon and the Archimedes trisection




Figure 6: The regular nonagon and the Archimedes trisection