Flatland: A Romance of Many Dimensions — John Shaqi
Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
The same thing would happen if you were to treat in the same way a
Triangle, or Square, or any other figure cut out of pasteboard. As soon
as you look at it with your eye on the edge of the table, you will find
that it ceases to appear to you a figure, and that it becomes in
appearance a straight line. Take for example an equilateral Triangle—who
represents with us a Tradesman of the respectable class. Fig. 1
represents the Tradesman as you would see him while you were bending over
him from above; figs. 2 and 3 represent the Tradesman, as you would see
him if your eye were close to the level, or all but on the level of the
table; and if your eye were quite on the level of the table (and that is
how we see him in Flatland) you would see nothing but a straight line.
[Illustration: ]
When I was in Spaceland I heard that your sailors have very similar
experiences while they traverse your seas and discern some distant island
or coast lying on the horizon. The far-off land may have bays, forelands,
angles in and out to any number and extent; yet at a distance you see
none of these (unless indeed your sun shines bright upon them revealing
the projections and retirements by means of light and shade), nothing but
a grey unbroken line upon the water.
Well, that is just what we see when one of our triangular or other
acquaintances comes towards us in Flatland. As there is neither sun with
us, nor any light of such a kind as to make shadows, we have none of the
helps to the sight that you have in Spaceland. If our friend comes close
to us we see his line becomes larger; if he leaves us it becomes smaller:
but still he looks like a straight line; be he a Triangle, Square,
Pentagon, Hexagon, Circle, what you will—a straight Line he looks and
nothing else.
You may perhaps ask how under these disadvantageous circumstances we are
able to distinguish our friends from one another: but the answer to this
very natural question will be more fitly and easily given when I come to
describe the inhabitants of Flatland. For the present let me defer this
subject, and say a word or two about the climate and houses in our
country.
§ 2.—_Of the climate and houses in Flatland._
As with you, so also with us, there are four points of the compass North,
South, East, and West.
Public-domain text, read in full here on John Shaqi.
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