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The excerpt represents the core issue or deciding factor on which you must meditate, and is drawn from Flatland: A Romance of Many Dimensions by Edwin A. Abbot: STRANGER. You do not understand me. I mean that when you see
a Woman, you ought -- besides inferring her breadth --
to see her length, and to SEE what we call her HEIGHT;
although that last Dimension is infinitesimal in your country.
If a Line were mere length without "height", it would cease to
occupy Space and would become invisible. Surely you must
recognize this?
I. I must indeed confess that I do not in the least
understand your Lordship. When we in Flatland see a Line,
we see length and BRIGHTNESS. If the brightness disappears,
the Line is extinguished, and, as you say, ceases to occupy Space.
 Flatland: A Romance of Many Dimensions |