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Hinton - The Fourth Dimension.pdf

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NOMENCLATURE AND ANALOGIES 155<br />

lie below that which they first occupied. <strong>The</strong>y will come<br />

where the support was on which he stood his first set of<br />

squares. He will get over this difficulty by moving his<br />

support.<br />

<strong>The</strong>n, since the cubes come upon his plane by the light<br />

yellow face, he will have, taking the null cube as before for<br />

an example, null, light yellow face; null, red section,<br />

because the section is perpendicular to the red line; and<br />

finally, as the null cube leaves the plane, null, light yellow<br />

face. <strong>The</strong>n, in this case red following on null, he will<br />

Null<br />

Red<br />

Null White Yellow<br />

Null<br />

r. y. wh.<br />

0 1 2 3 4<br />

Null<br />

Fig. 95.<br />

Null<br />

r. y. wh.<br />

have the same series of views of the red as he had of the<br />

null cube.<br />

<strong>The</strong>re is another set of considerations which we will<br />

briefly allude to.<br />

Suppose there is a hollow cube, and a string extended<br />

across it from null to null, r., y., wh., as we may call the<br />

far diagonal point, how will this string appear to the<br />

plane being as the cube moves transverse to his plane?<br />

Let us represent the cube as a number of sections, say<br />

5, corresponding to 4 equal divisions made along the white<br />

line perpendicular to it.<br />

We number these sections 0, 1, 2, 3, 4, corresponding<br />

to the distance along the white line at which they are<br />

taken, and imagine each section to come in successively,

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