4oS 



GEOMETRY* 



PROBLEM XXVIII. 



Jji a given Circle to inscribe any regular Polygon / ^r, to divlis 

 the Clrcamfcrcnce into any number of equal Parts, 



[See the last Figure.] 



At the cenj.re o make an angle equal to the angle at the. 

 centre of the polygon, as contained in the third columrr 

 of the above table of polygons. Then the distance A D. 

 ■will be one side of the polygon j which, being carried 

 round the circumference the proper number of times, will 

 complete the figure. Or, the arc A B will be one of th& 

 equal parts of the circumference. 



Another Method, nearly txxxt^ 



Draw the diameter A B which 

 divide into as many equal parts 

 as the figure has sides. With 

 the radius A B, and centres A 

 and B, describe arcs crosc^ing at 

 n ; whence draw n C through 

 the second. division on the di- 

 ameter ; so shall A C be a side 

 of tiie polygon nearly. 



yi ..^*' 



Another 



