82 Mr. glenie’s Proportions on the 
PROPOSITION V. PROBLEM III. 
1*0 cut off from a given right line a part expreffed by any 
odd number . 
LET ab be the given right 
line. At right angles to it, at 
one of its extremities b, draw 
an indefinite right line be. 
Let n be the given odd num- 
ber, which expreffes the part 
of ab which is to be cut off. 
Take bc fuch a right line (prob. 
S.), that the fquare on it fhall 
be equal to the fquare on ab, 
multiplied by the number * 
Draw cl as in the firft theo- 
rem, and take ls equal to lb. 
I fay, as is that part of ab, 
which is expreffed by the odd number n . 
For the fquare on ac being equal to the fquares on ab, 
bc, is equal to the fquare on ab multiplied by the number 
* -- + i, or —p* Therefore it appears (from prop. i. 
and cor. i. to 20. E. 6 .), that ALis to lb as - — - + 1 to - — -. 
22 
Confequcntlv, as is equal to the part required. E . F. 
3 Thus, 
