Flatland: a romance of many dimensions

Edwin Abbott Abbott

Capitolo 21

it is from us recognized as a benediction as soon as inferior to air him, and as the
Nanny of arts and Parent of sciences.  But it allowed me to explain my meaning,
without the further praises on this beneficent Element.

If Fog were not-existing, all the lines would appear equally
and indistinguishably in clear way;  and indeed this is the case
in that unhappy countries in which it is perfectly the atmosphere
dry land and transparency.  But there is wherever a provisioning rich in Fog,
objects that are to a distance, say of three feet, it is appreciably
gradual dimmer that that to the distance of the eleven thumbs of two feet;  and the
result is that from experimental and accurate and continuous observation
of the comparative obscurity and the clarity, we am trained for inflicting,
with the great exactness the configuration of the object observed.

An example will do more than a volume of the generalities to do
my meaning in clear way.

Supposes that I see two individuals that draw near of who classification I desire to verify.
They is, we will suppose, a Dealer and a Physician, or in the other words,
an Equilateral Triangle and a Pentagon;  as it is me to distinguish them?

It will be obvious, to every child in Spaceland that has touched
the threshold of Geometric Studies that, if I can go the eye
this way that its look can bisect an angle (A) of the extraneous one that approaches,
my sight will lie as is uniformly among the two sides that are next
to me (the viz. CA and Ab), so that I will impartially contemplate the two,
and both they will appear some same ransom.

Now in the case of (1) the Dealer, thing I will see?  I will see
a right line DAE in that the middle point (A) it will be very bright
because it is more next to me;  but on both side the line will shade
street Quickly Á. the obscurity, because the sides that Alternating current and Ab Quickly Recede
In You what it seems to me the extremities of the Dealer,
viz.  D and And, it will be Indeed A lot of Dark.

On the other hand in the case of (2) the Physician, although I am able
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