230 Of the SOLIDS 
by hypothefis ; and, confequently, its cube, or 64 m3 93 x 
3 —fing) oy omitting the conftant multipliers, g?. 1 ing 
4 fin g fin g 
muft be a maximum. 
Ir we take the fluxion of each of thefe multipliers, and di- 
vide it by the multiplier itfelf, and put the fum equal to no- 
p cof > cot 
thing, we fhall have, y “aoe oR aie ce 2 = Oe 
cof 9 cofp _ cof. fing + cof — cof. fing 
1—fing fin 9 fin 9 (1 — fin 9) 
cof 
. : 3 
in @ GQ — fin ¢)’ set inverting thefe fractions : 
fin 9 (1 —fin 9) = tane(1— fing), or p= 3tane(1—fing). 
col ¢ 
Tue folution of this tranfcendental equation may eafily be 
obtained, by approximation, from the trigonometric tables, if we 
confider that 1 —fin¢ is the coyerfed fine of g Thus taking 
the logarithms, we have Lp =L.3+ L.tane+L.coverf. ¢. 
From which, by trial, it will foon be difcovered, that ¢ is 
nearly equal to an arch of 48°. To obtain a more exact va- 
ine of 9, let ¢= arc (48° +6), B being a number of mi- 
nutes to be determined. Becaufe arc. 48° = .8377580, 
and arc (48° + 8) = .8377580 + .0002909 B, therefore log. 
arc (489 + 8) = 9.9231186 + .0001506 @. 
In 
