PHYSICAL anp LITERARY. 119 
is. equal to the fector ADH together with 
the feGtor BDH, and the fe&tor ACE is 
greater than the feétor ADH; therefore 
the fector BCE will be lefs than the fec- 
tor BDH. : 
\ PROP, WL. Prosi. 1. Fig. 3. 
Let there be a given circle AEB, and let 
 D bea given point within the circle ; 
7m and from. D let there be drawn DE, DF, 
tr to two given points, E, F, in the circle: 
i Granting the quadrature of the circle, 
iti is required to draw a line DG meet- 
ing the arc FE i in G; fo that the fec- 
. tor EDG may be to the fector GDF in 
oy a given ratio, fuppofe that of m to n, 
~ie ¢ 
VJ 
Let C ie the center of the circle, and 
join CE, CF; draw DH, DK, perpendi- 
cular to CE, CF, meeting CE) CF in H,. 
K; and let EL, FM, be tangents to the 
i circle at the points, rE, 
BECAUSE 
