( H59 ) 
enda eft comp^ratio, quo' pafto citiffime invenientur ipfe 
p, q, r, s j & hifce cognitis, non latebit valor ipftus a, 
cx Theoremate fuperiari inveniendus, 8c turn demum in- 
notefcent Equation is date Radices crones. 
Huic Solutioni illuftrand® Exemplum unuro aut alterum 
fufficiat. 
i. iEquationis Biquadratic® x* = 8x 4 5 & 4 - g?x l — i6sx 
— 936 fint Radices extrahend*. Erit primd juxta 
ptefcriptum 4p = 8, five p == 2. Secundd aq — .. (411 l ) 
1 6 = 83 » five q = Tertid 8r — ( 4pq 396 = 
— 162, five r = Quarto 4s *— ■ « (q’-) = 
4 4 
— . 936, five s = Hinc p s + q = apr + s 
7929 
9, & proind £ a‘ = I2ta— 
16 * ~ ig ’ r 2 1 6 
+ Jam ut Aquatic h®c aliquatenus Cubica 
in Radices ejus refolvatur, ad Theoreraa prscedens recur- 
rendum eft, in quo erit p 
107 
22009 
~ 5 % 
8 c r 5 
q 3 
2 - 144 ■ 1718 ’ 
‘ 19+0075 Mcpi Binomii 2SSr|^2 
1 6 
.4- V • — \ Radix Cubica eft 
10 
8c propterea a* = == 9, 
53 
12 
T 
V 
8c etiam a 1 
400 
f 
107 
6 
4 - t f ■/ 400 ) 20 == — vel — - : Vel quod 
perinde eft , iEquationis prsmifl* revera Cubo- 
' „ 1 2 
Cubic® fex Radices funt a ±= 4 2 , a — + — , 
, — ~ 2 
& a = + quarum qusevis indifenminatim propo- 
fito 
