Bivifon of Right Lines , Surfaces , and Solids . 8 1 
are furd, fractional, or mixed. And by dividing bc, de, 
ge, fg, mn, hi, kl, in different ways, according to plea- 
fare, we may apply the fame method to fractional num- 
bers, without altering the magnitude of bc. Thus, if 
bc be bifeCted, and a right line be drawn through the 
point of bifection parallel to ap, there will be found 
right lines, the fquares on which are refpeCtively equal 
to the fquare on ab multiplied by a great number of 
fractions, having four for their common denominator, 
and fo on. 
PROPOSITION IV. PROBLEM II. 
To find a right line , the fquare on which fall be equal to the 
fquare on a given right line , divided by any number . 
IF, ufing the figure of the immediately preceding pro- 
blem, we fuppofe the given right line to be denoted by 
al, the fquares on ak, ah, af, ad, ab, &x. will re- 
fpeCtively be equal to the fquare on al multiplied by 
t» V ?> 1 T> IT) 6?) TTJ) TIP ITT) T0V4) &c. or divided by 
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 8ec.; and fo 
on for other numbers, whole, furd, fractional, or mixed. 
Vol. LX VI. 
M 
PRO- 
