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     I answer that though we cannot SEE angles�察�we can INFER them�察�and 

this with great precision。 Our sense of touch�察�stimulated by necessity�察�and 

developed   by   long   training�察  �enables   us   to   distinguish       angles   far   more 

accurately than your sense of sight�察�when unaided by a rule or measure of 

angles。 nor must I omit to explain that we have great natural helps。 It is 

with us a Law of Nature that the brain of the Isosceles class shall begin at 

half a degree�察�or thirty minutes�察�and shall increase ��if it increases at all�� by 

half a degree in every generation until the goal of 60 degrees is reached�察�

when the condition of serfdom is quitted�察�and the freeman enters the class 

of Regulars。 

     Consequently�察  �Nature   herself   supplies   us   with   an   ascending   scale   or 

Alphabet of angles for half a degree up to 60 degrees�察�Specimen of which 



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                                              Flatland 



are   placed   in   every   Elementary   School   throughout   the   land。   Owing   to 

occasional   retrogressions�察        �to  still  more   frequent    moral   and     intellectual 

stagnation�察     �and    to   the   extraordinary      fecundity     of   the   Criminal     and 

Vagabond classes�察�there is always a vast superfluity of individuals of the 

half degree and single degree class�察�and a fair abundance of Specimens up 

to   10   degrees。  These   are   absolutely   destitute   of   civil   rights�察  �and   a   great 

number of them�察�not having even intelligence enough for the purposes of 

warfare�察  �are   devoted   by   the   States   to   the   service   of   education。   Fettered 

immovably so as to remove all possibility of danger�察�they are placed in the 

classrooms of our Infant Schools�察�and there they are utilized by the Board 

of Education for the purpose of imparting to the offspring of the Middle 

Classes      the    tact   and    intelligence      which     these    wretched      creatures 

themselves are utterly devoid。 

     In   some   States   the   Specimens   are   occasionally   fed   and   suffered   to 

exist   for   several   years�察  �but   in   the   more   temperate   and   better   regulated 

regions�察�it is found in the long run more advantageous for the educational 

interests of the young�察�to dispense with food�察�and to renew the Specimens 

every     monthwhich         is  about    the   average      duration    of   the   foodless 

existence of the Criminal class。 In the cheaper schools�察�what is gained by 

the longer existence of the Specimen is lost�察�partly in the expenditure for 

food�察   �and    partly   in  the  diminished      accuracy   of    the   angles�察   �which    are 

impaired after a few weeks of constant ;feeling。; Nor must we forget to 

add�察�in enumerating the advantages of the more expensive system�察�that it 

tends�察�though slightly yet perceptibly�察�to the diminution of the redundant 

Isosceles      population      an   object    which     every    statesman      in  Flatland 

constantly      keeps    in  view。   On    the   whole    thereforealthough        I  am   not 

ignorant that�察�in many popularly elected School Boards�察�there is a reaction 

in favour of ;the cheap system; as it is called I am myself disposed to 

think   that   this   is   one   of   the   many   cases   in   which   expense   is   the   truest 

economy。 

     But I must not allow questions of School Board politics to divert me 

from my subject。 Enough has been said�察�I trust�察�to shew that Recognition 

by  Feeling   is   not   so   tedious   or   indecisive   a   process   as   might   have   been 



                                                 18 


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                                             Flatland 



supposed�察     �and    it  is  obviously    more    trustworthy      than   Recognition      by 

hearing。 Still there remains�察�as has been pointed out above�察�the objection 

that this method is not without danger。 For this reason many in the Middle 

and Lower classes�察�and all without exception in the Polygonal and Circular 

orders�察�prefer a   third method�察 �the description of which   shall be   reserved 

for the nextSECTION。 



                SECTION 6                Of Recognition by Sight 



       I am about to appear very inconsistent。 In the previousSECTIONs I 

have said that all figures in Flatland present the appearance of a straight 

line�察  �and   it   was   added   or   implied�察  �that   it   is   consequently   impossible   to 

distinguish   by   the   visual   organ   between   individuals   of   different   classes�此�

yet now I am about to explain to my Spaceland critics how we are able to 

recognize one another by the sense of sight。 

     If however the Reader will take the trouble to refer to the passage in 

which Recognition by Feeling is stated to be   universal�察�he will find  this 

qualification;among         the   lower    classes。;   It  is  only  among     the   higher 

classes    and   in   our  more    temperate     climates    that   Sight   Recognition      is 

practised。 

     That this power exists in any regions and for any classes is the result 

of Fog�察�which prevails during the greater part of the year in all parts save 

the   torrid   zones。  That   which   is   with   you   in   Spaceland   an   unmixed   evil�察�

blotting out the landscape�察�depressing the spirits�察�and enfeebling the health�察�

is by us recognized as a blessing scarcely inferior to air itself�察�and as the 

Nurse   of   arts   and   Parent   of   sciences。   But   let   me   explain   my   meaning�察�

without further eulogies on this beneficent Element。 

     If   Fog    were     non´existent�察    �all   lines   would     appear     equally    and 

indistinguishably   clear�察  �and   this   is   actually   the   case   in   those   unhappy 

countries   in   which   the   atmosphere   is   perfectly   dry   and   transparent。   But 

wherever there is a rich supply of Fog�察�objects that are at a distance�察�say of 

three feet�察�are appreciably dimmer than those at the distance of two feet 

eleven inches�察�and the result is that by careful and constant experimental 



                                                19 


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                                               Flatland 



observation of comparative dimness and clearness�察�we are enabled to infer 

with great exactness the configuration of the object observed。 

     An   instance   will do   more   than a   volume   of   generalities to   make   my 

meaning clear。 

     Suppose       I  see   two   individuals     approaching       whose     rank    I  wish   to 

ascertain。 They  are�察 �we   will   suppose�察 �a   Merchant   and   a   Physician�察 �or   in 

other     words�察    �an   Equilateral     Triangle     and   a   Pentagon�察     �how    am    I  to 

distinguish them�拭�

     It   will   be   obvious�察  �to   every  child   in   Spaceland  who   has   touched   the 

thresh
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隆堋響頼��紗秘慕禰厮宴和肝写偬堋響��
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