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��
響慕片 卦指云慕朕村 紗秘慕禰 厘議慕尺 厘議慕禰 TXT畠云和墮 〆辺茄欺厘議箝誓匂〇

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�



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;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。; 



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     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 



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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 



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chilling breath thrilled through my ver
卦指朕村 貧匯匈 和匯匈 指欺競何 壘��2�� 家��0��
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��