PE.OBLEMS. 



4^5 



PROBLEM XL, 



To cut off a Segment from a given Circle^ that shall contain a 

 given Angle C. 



Draw any tan- 

 gent AB to the 

 given circle ; and 

 a chord A D, to 

 make the angle 

 DAB equal to the 

 given angle C ; 

 then D E A will be the segment required, any angle E 

 made in it being equal to the given angle C. 



2\. 



PROBLEM XLI. 



*To make a Triatigls similar to a given Triangle ABC. 



Let ^ ^ be one side of the re- 

 quired triangle. Make the angle a 

 equal to the angle A, and the an- 

 gle b equal to the angle B \ then 

 the triangle ab c will be similar to 

 ABC, as proposed. 



Oj 



Note. U ab be equal to A B, the triangles will also 

 be equals as well as simijar. 



PROBLEM 



