PROBLEMS. 



3f^ 



PROBLEM XllU 



^9 dascrlhe the Clrcinnfc/cncc of a Circle thi-ough thne given 

 Feints A, B, C. 



From the middle point B draw 

 chords to the other two poiii^. 

 liisect these chords perpendicu- 

 larly by lines meeting in o, which 

 will be the centre. Then 'from 

 the centre o, at the distaiice o A, 

 ©r oB, or oC, describe thcr 

 circle* 



Note. In the sanie miniier may the centi'e of an atC 

 «f A circle be found. 



PROBLEM XIV, 



Through a given Point A to draw a Tangent to a given Cireti. 



Case i. — When A is in the Ciramfcrence of the Circle* 



From the given point A, 

 draw Ac to the centre of the 

 circle. Then through A draw 

 B C perpendicular to Ao^ and 

 it will be \},\^ tangent re- 

 fill ired. 



Cab% 



