TROBLEMS^ 



597 



PROBLEM VIII. 



^0 divide a given Line A B in the same proportion^ as another 

 Line C D is divided. 



From A draw any line AE 

 equal to C D, and upon it trans- 

 fer the divisions of the line 

 C D. Join B E, and parallel to 

 it draw the lines i i, 2 2, 3 3, ^ A ^ 



Sec. and they will divide A B a§ 

 required. 



PROBLEM IX. 



Jit a given Point A, in a given line A D, /^ malce an 

 equal to a given Angle C. 



With the cqntre C, and any 

 radius, describe an arc mn. — 

 With centre A, and the same 

 radius, describe the arc- rj-.— • 

 Take the distance mn in the com- 

 passes, and apply it from r to j. 

 Then a line, drawn through A 

 & J-, will make the angle A equal 

 to the angle C, as required. 



Angl'^ 



PROBLEM X. 



At a given Point. A, in a given l^ine A B, to male an Angk 

 of any proposed number of degrees^ 



With the centre A, and radius 

 equal to 60 degrees, taken from 

 a scale of chords, describe an 

 arc cutting A B in m. Then 

 take in the compasses the pro- 

 posed number of degrees from 

 the same scale of chords, and 



an f> 



apply 



