\ 
- PHYSICAL AND LITERARY. 1I21 
than the fector DEN, and the feGtor DFG 
greater than the fector DFC ; therefore the 
line DG will fall between the lines DN, 
DO; therefore the point G will fall be- 
tween the points N, O. , 
Acain, Becaufe the points, L, M are 
given, and the point D likeways given, 
the fectors DEN, DFO, will be given; 
and, becaufe the fectors DEG, DFG, are 
_ given, the feétors DNG, DOG, will be 
given; and therefore the fector NDG will 
be to the fedor GDO in a given ratio, 
fappofe that of p to g.. The problem, 
therefore, will be reduced to this again, 
_ To divide the fetor NDO by the line DG, 
fo that the feétor NDG may beto the fec- 
torGDO ; in the given ratio of p to 7. And 
thus, repeating the operation, the point G 
will be found within @ very narrow li- 
_ mit. 3 
N. B. Tue limit ON might have been 
: te by taking in the tangents EL, FM, 
the point L towards F, and the point M 
_ towards E; fothat, joining DL, DM, meet- 
‘, the circle in N, O, the triangle DEY 
_ would be equal to the fector EDG, and - 
“Vou, II, QU the 
