If the cube be turned round Cuspis, Dos goes Z, Cuspis remains unchanged, and Arctos goes Y, and we have the position,

ZXY
dca

where Zd means that Dos runs in the negative direction of the Z axis from the point where the axes intersect. We might write Zd but it is preferable to write Zd. If we next turn the cube round the line, which runs Y, that is, round Arctos, we obtain the position,

ZXY
cda

(2)

and by means of this double turn we have put c and d in the places of a and c. Moreover, we have no negative directions. This position we call simply c d a. If from it we turn the cube round a, which runs Y, we get Zd Xc Ya, and if, then, we turn it round Dos we get Zd Xa Yc or simply d a c. This last is another position in which all the lines are positive, and the projections, instead of lying in different quadrants, will be contained in one.

The arrangement of cubes in a c d we know. That in c d a is:

Third
Floor.
- VestisOlivaTyro
ScenaTergumAer
SaltusSyphoRemus
Second
Floor.
- TibicenMoraMerces
BidensPallorCortis
MolesPlebsHama
First
Floor.
- ComesSpiculaMars
OstrumUncusAla
UrnaFrenumSector

It will be found that learning the cubes in this position gives a great advantage, for thereby the axes of the cube become dissociated with particular directions in space.

The d a c position gives the following arrangement: