[Sidenote: p. 77.] Those then who fancy that they can divine by means of ciphers[73] and numbers, elements[74] and names, make the foundation of their attempted system to be this. They pretend that every number has a root:--in the thousands as many units as there are thousands. For example, the root of 6000 is 6 units, of 7000, 7 units, of 8000, 8 units, and with the rest in the same way. In the hundreds as many hundreds as there are, so the same number of units is the root of them. For example, in 700 there are 7 hundreds: 7 units is their root. In 600 there are 6 hundreds: 6 units is their root. In the same way in the decads: of 80 the root is 8 units, of 40, 4 units, of 10, 1 unit. In the units, the units themselves are the root; for instance, the unit of the 9 is 9, of the 8, 8, of the 7, 7. Thus then must we do with the component parts [of names]. For each element is arranged according to some number. For example, the Nu consists of 50 units; but of 50 units the root is 5, and of the letter [Sidenote: p. 78.] Nu the root is 5. Let it be granted that from the name we may take certain[75] of its roots. For example, from the name Agamemnon there comes from the Alpha one unit, from the Gamma 3 units, from the other Alpha 1 unit, from the Mu 4 units, from the Epsilon 5 units, from the Mu 4 units, from the Nu 5 units, from the Omega 8 units, from the Nu 5 units, which together in one row will be 1, 3, 1, 4, 5, 4, 5, 8, 5. These added together make 36 units. Again they take the roots of these and they become 3 for the 30, but 6 itself for the 6. Then the 3 and the 6 added together make 9, but the root of 9 is 9. Therefore the name Agamemnon ends in the root 9. Let the same be done with another name, viz., Hector. The name Hector contains five elements, Epsilon, Kappa, Tau, Omega and Rho.[76] The roots of these are 5, 2, 3, 8, 1; these added together make 19 units. Again, the root of the 10 is 1, of the 9, 9, which added together make 10. The root of the 10 is one unit. Therefore the name of Hector when counted up[77] has made as its root one unit.