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Abbott, Edwin Abbott, 1838-1926

"Flatland: a romance of many dimensions"


Prostrating myself mentally before my Guide, I cried, "How is it,
O divine ideal of consummate loveliness and wisdom that I see thy
inside, and yet cannot discern thy heart, thy lungs, thy arteries,
thy liver?" "What you think you see, you see not," he replied;
"it is not giving to you, nor to any other Being, to behold
my internal parts. I am of a different order of Beings
from those in Flatland. Were I a Circle, you could
discern my intestines, but I am a Being, composed
as I told you before, of many Circles, the Many in the One,
called in this country a Sphere. And, just as the outside
of a Cube is a Square, so the outside of a Sphere represents
the appearance of a Circle."
Bewildered though I was by my Teacher's enigmatic utterance,
I no longer chafed against it, but worshipped him in silent adoration.
He continued, with more mildness in his voice. "Distress not yourself
if you cannot at first understand the deeper mysteries of Spaceland.
By degrees they will dawn upon you. Let us begin by casting back
a glance at the region whence you came. Return with me a while to
the plains of Flatland and I will shew you that which you have often
reasoned and thought about, but never seen with the sense of sight--
a visible angle.


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