Strong’s Problems. 279 
ase Ti. When the touching circle comprehends one of 
the given circles, 
Const. Let (Fig. 12. pl. 3.) AB be the given straight 
line and QHP, LRS the given circles, of which LRS is to 
be comprehended by the touching circles. Let G, K be the 
eentres of the given circles respectively. From G with ra- 
dius equal to the radius of HPQ-+radius of LRS describe 
the circle NMI. Draw also CD parallel to AB and distant 
from it by a line==radius of the circle LRS. Through K 
describe the circle KFI touching NIM in I and CD in F 
of which circles let O be the centre. Increasing the radius 
in E. Now the angle OFC being a OF will cut AB - 
fa) 
Const. Let (Fig. 13. and 14. pl. 3.) AB be the given 
line, C, D the given points and X the given difference. 
"rom © as centre with,radius =X describe the circle LIO. 
