With regard to position, probably the first query to suggest itself to an investigator to ask is of the direction in which they run. Is there a preponderance manifest in them for one direction over another? Do they show an inclination to the vertical, to the horizontal, or to some tilt between? To answer this we may box the compass, and taking the four cardinal points with the twelve next most important points between for sectional division segregate the doubles according to their individual trend. As we have no means of determining in which sense any direction is to be taken,—if indeed it is not to be taken alternately in each,—we get eight compartments into one or the other of which all the doubles must fall. This they do in the following manner:— S. & N., Laestrygon, [+]Fretum Anian, Aethiops, Amenthes, Titan, [+]Dis, [+]Is 7 S. S. E. & N. N. W., [+]Gihon, Ganges, [++]Tithonius, Euphrates, Adamas 5 S. E. & N. W., [+]Eunostos, Triton, Tartarus, Naarmalcha 4 E. S. E. & W. N. W., [+]Astaboras, Typhon, [+]Pierius 3 E. & W., [+]Nar, [+]Protonilus, [*]Propontis, [++]Nectar, [+]Cocytus, [+]Chaos 6 E. N. E. & W. S. W. [+]Deuteronilus, [+]Callirrhoe, [+]Cerberus N., Cerberus S., [+]Sitacus, [+]Erebus 6 N. E. & S. W., [+]Djihoun, [*]Nilokeras I & II, [+]Avernus, [+]Nepenthes, Gigas, [+]Alander, Polyphemus, [+]Gelbes, [+]Marsias, [+]Pyramus, [+]Nilokeras I, Asopus 12 N. N. E. & S. S. W., Jamuna, Phison, [+]Hyblaeus, Cyclops, Lethes, [+]Thoth, [+]Vexillum, [+]Hiddekel 8 -- 51 [*] Wide canals. [+] Northern hemisphere exclusively. [++] Southern hemisphere exclusively. No conclusively marked preponderance for one direction over another manifests itself by this partitionment. Nevertheless, a certain trend to the east of north, as against the west of north, is discernible. More than twice as many doubles run northeast and southwest or within forty-five degrees of this as do similarly northwest and southeast, there being twelve of the latter and twenty-six of the former. That this seems to mean something the nearly equal pairing of quadrantal points goes to show. Thus:— N. & S. and E. & W. inclined canals number 7 + 6 = 13 N. N. E. & S. S. W. and E. S. E. & W. N. W. inclined canals number 8 + 3 = 11 N. E. & S. W. and S. E. & N. W. inclined canals number 12 + 4 = 16