嗔秤戻幣�哉膵�云利匈嬉蝕湊蛸賜�塋床四衲���萩晦編報炎嘔囚^泡仟 ̄云利匈��
flatland(献棲蒙声)-及16何蛍
酔楯荷恬: 梓囚徒貧圭�鮗� ○ 賜 ★ 辛酔堀貧和鍬匈 梓囚徒貧議 Enter 囚辛指欺云慕朕村匈 梓囚徒貧圭�鮗� ● 辛指欺云匈競何! 泌惚云慕短嗤堋響頼���誅卒亮茂�俊彭堋響��辛聞喘貧圭 "辺茄欺厘議箝誓匂" 孔嬬 才 "紗秘慕禰" 孔嬬��
side is now fronting�拭 �In other words�察 �instead of always moving in the
direction of one of your extremities�察�do you never feel a desire to move in
the direction�察�so to speak�察�of your side�拭�
King。 Never。 And what do you mean�拭�How can a man's inside ;front;
in any direction�拭�Or how can a man move in the direction of his inside�拭�
I。 Well then�察�since words cannot explain the matter�察�I will try deeds�察�
and will move gradually out of Lineland in the direction which I desire to
indicate to you。
At the word I began to move my body out of Lineland。 As long as any
part of me remained in his dominion and in his view�察 �the King kept
exclaiming�察 �I see you�察�I see you still�察�you are not moving。; But when I
had at last moved myself out of his Line�察�he cried in his shrillest voice�察�
52
´ Page 53´
Flatland
;She is vanished�察�she is dead。; ;I am not dead�察─�replied I�察 �I am simply out
of Lineland�察�that is to say�察�out of the Straight Line which you call Space�察�
and in the true Space�察 �where I can see things as they are。 And at this
moment I can see your Line�察�or sideor inside as you are pleased to call it�察�
and I can see also the Men and Women on the North and South of you�察�
whom I will now enumerate�察 �describing their order�察 �their size�察 �and the
interval between each。; When I had done this at great length�察 �I cried
triumphantly�察 �Does that at last convince you�拭─ �And�察 �with that�察 �I once
more entered Lineland�察�taking up the same position as before。
But the Monarch replied�察 �If you were a Man of sensethough�察�as you
appear to have only one voice I have little doubt you are not a Man but a
Womanbut�察 �if you had a particle of sense�察 �you would listen to reason。
You ask me to believe that there is another Line besides that which my
senses indicate�察 �and another motion besides that of which I am daily
conscious。 I�察�in return�察�ask you to describe in words or indicate by motion
that other Line of which you speak。 Instead of moving�察 �you merely
exercise some magic art of vanishing and returning to sight�察�and instead of
any lucid description of your new World�察�you simply tell me the numbers
and sizes of some forty of my retinue�察 �facts known to any child in my
capital。 Can anything be more irrational or audacious�拭�Acknowledge your
folly or depart from my dominions。;
Furious at his perversity�察�and especially indignant that he professed to
be ignorant of my sex�察�I retorted in no measured terms�察 �Besotted Being� �
You think yourself the perfection of existence�察�while you are in reality the
most imperfect and imbecile。 You profess to see�察�whereas you see nothing
but a Point� �You plume yourself on inferring the existence of a Straight
Line�察 �but I CAN SEE Straight Lines�察 �and infer the existence of Angles�察�
Triangles�察 �Squares�察 �Pentagons�察 �Hexagons�察 �and even Circles。 Why waste
more words�拭�Suffice it that I am the completion of your incomplete self。
You are a Line�察�but I am a Line of Lines called in my country a Square�此�
and even I�察 �infinitely superior though I am to you�察 �am of little account
among the great nobles of Flatland�察�whence I have come to visit you�察�in
the hope of enlightening your ignorance。;
53
´ Page 54´
Flatland
Hearing these words the King advanced towards me with a menacing
cry as if to pierce me through the diagonal�察�and in that same movement
there arose from myriads of his subjects a multitudinous war´cry�察�
increasing in vehemence till at last methought it rivalled the roar of an
army of a hundred thousand Isosceles�察 �and the artillery of a thousand
Pentagons。 Spell´bound and motionless�察�I could neither speak nor move to
avert the impending destruction�察�and still the noise grew louder�察�and the
King came closer�察�when I awoke to find the breakfast´bell recalling me to
the realities of Flatland。
SECTION 15 Concerning a Stranger from
Spaceland
From dreams I proceed to facts。
It was the last day of our 1999th year of our era。 The patterning of the
rain had long ago announced nightfall�察�and I was sitting ��footnote 3�� in the
company of my wife�察�musing on the events of the past and the prospects of
the coming year�察�the coming century�察�the coming Millennium。
My four Sons and two orphan Grandchildren had retired to their
several apartments�察 �and my wife alone remained with me to see the old
Millennium out and the new one in。
I was rapt in thought�察 �pondering in my mind some words that had
casually issued from the mouth of my youngest Grandson�察 �a most
promising young Hexagon of unusual brilliancy and perfect angularity。
His uncles and I had been giving him his usual practical lesson in Sight
Recognition�察�turning ourselves upon our centres�察�now rapidly�察�now more
slowly�察�and questioning him as to our positions�察�and his answers had been
so satisfactory that I had been induced to reward him by giving him a few
hints on Arithmetic�察�as applied to Geometry。
Taking nine Squares�察�each an inch every way�察�I had put them together
so as to make one large Square�察 �with a side of three inches�察 �and I had
hence proved to my little Grandson thatthough it was impossible for us
54
´ Page 55´
Flatland
to SEE the inside of the Square yet we might ascertain the number of
square inches in a Square by simply squaring the number of inches in the
side�此 �and thus�察─ �said I�察 �we know that three´to´the´second�察 �or nine�察�
represents the number of square inches in a Square whose side is three
inches long。;
The little Hexagon meditated on this a while and then said to me�察 �But
you have been teaching me to raise numbers to the third power�此�I suppose
three´to´the´third must mean something in Geometry�察�what does it mean�拭─�
;Nothing at all�察─ �replied I�察 �not at least in Geometry�察 �for Geometry has
only Two Dimensions。; And then I began to shew the boy how a Point by
moving through a length of three inches makes a Line of three inches�察�
which may be represented by three�察 �and how a Line of three inches�察�
moving parallel to itself through a length of three inches�察�makes a Square
of three inches every way�察 �which may be represented by three´to´the´
second。 xxx Upon this�察 �my Grandson�察 �again returning to his former
suggestion�察 �took me up rather suddenly and exclaimed�察 �Well�察 �then�察 �if a
Point by moving three inches�察�makes a Line of three inches represented by
three�察 �and if a straight Line of three inches�察 �moving parallel to itself�察�
makes a Square of three inches every way�察 �represented by three´to´the´
second�察 �it must be that a Square of three inches every way�察 �moving
somehow parallel to itself ��but I don't see how�� must make Something else
��but I don't see what�� of three inches every wayand this must be
represented by three´to´the´third。;
;Go to bed�察─�said I�察�a little ruffled by this interruption�此 �if you would
talk less nonsense�察�you would remember more sense。;
So my Grandson had disappeared in disgrace�察�and there I sat by my
Wife's side�察�endeavouring to form a retrospect of the year 1999 and of the
possibilities of the year 2000�察�but not quite able to shake of the thoughts
suggested by the prattle of my bright little Hexagon。 Only a few sands
now remained in the half´hour glass。 Rousing myself from my reverie I
turned the glass Northward for the last time in the old Millennium�察�and in
the act�察�I exclaimed aloud�察 �The boy is a fool。;
Straightway I became conscious of a Presence in the room�察 �and a
55
´ Page 56´
Flatland
chilling breath thrilled through my ver
酔楯荷恬: 梓囚徒貧圭�鮗� ○ 賜 ★ 辛酔堀貧和鍬匈 梓囚徒貧議 Enter 囚辛指欺云慕朕村匈 梓囚徒貧圭�鮗� ● 辛指欺云匈競何!
梁椣戻幣�� 梁心弌傍議揖扮窟燕得胎��傍竃徭失議心隈才凪万弌誌育断蛍�輌臆惨軼僑〃�燕慕得珊辛參資誼持蛍才将刮襲潜��範寔亟圻幹慕得 瓜寡追葎娼得辛參資誼寄楚署衛、持蛍才将刮襲潜填��