394 



GEOMETRT. 



Note. In practice^ parallel lines ate niore eatily drawn 

 with a Parallel Rule. 



PROBLETvI V. 



To eyed a Ferpendiadar from a giv^ii' Point- ' A in a given 

 Line B C ' ' 



Case i. — When the Po'mt u mar the mlcIc^J of the Line. 



On each side of the point A, take -..^r ,.. 



any two equal distances Am, An. From ^' i ' ^ 

 tlie centres m and «,. with any radius- ! 



greater than Am or A«, describe two \ 



area, intersecting in r. Through A and | 



r draw the line Ar, and it will he the, 

 perpendicular jcecj^uircd. 



•Bu 





CjS£ 2. — When the Pvint is near the end of the Lina 



With the centre A, and any 

 radius, describe the arc m n j, 

 From the point »;, v/ith the same 

 radius, turn the compasses twice 

 over on the arc, at n and s. A- 

 gain, with the centres n and /, 

 describe arcs intersecting in r. 

 Then draw Ar, and it will be the perpendicular required. 



2i 



Another Method. 



From any point w, as a centre, 

 with the radius or distance m A, 

 describe an arc cuttliig the given 

 line in ;; and A. Through u -.xn^ 

 m draw a right line .cutting the 

 arc in r. Lastly, draw A r, and 

 It wilt be the pcrpendiculcir ic- .^^ ' 

 q^ih-ed. 



Another 



