If the cube be turned round Cuspis, Dos goes Z, Cuspis remains unchanged, and Arctos goes Y, and we have the position,
| Z | X | Y |
| d | c | a |
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,
| Z | X | Y |
| c | d | a |
(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. | - | Vestis | Oliva | Tyro | |
| Scena | Tergum | Aer | |||
| Saltus | Sypho | Remus | |||
| Second Floor. | - | Tibicen | Mora | Merces | |
| Bidens | Pallor | Cortis | |||
| Moles | Plebs | Hama | |||
| First Floor. | - | Comes | Spicula | Mars | |
| Ostrum | Uncus | Ala | |||
| Urna | Frenum | Sector | |||
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: