FREE BOOKS

Author's List




PREV.   NEXT  
|<   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82  
83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   >>   >|  
ders this work to be genuine.[462] {117} So little did Gerbert appreciate these numerals that in his works known as the _Regula de abaco computi_ and the _Libellus_ he makes no use of them at all, employing only the Roman forms.[463] Nevertheless Bernelinus[464] refers to the nine [.g]ob[=a]r characters.[465] These Gerbert had marked on a thousand _jetons_ or counters,[466] using the latter on an abacus which he had a sign-maker prepare for him.[467] Instead of putting eight counters in say the tens' column, Gerbert would put a single counter marked 8, and so for the other places, leaving the column empty where we would place a zero, but where he, lacking the zero, had no counter to place. These counters he possibly called _caracteres_, a name which adhered also to the figures themselves. It is an interesting speculation to consider whether these _apices_, as they are called in the Boethius interpolations, were in any way suggested by those Roman jetons generally known in numismatics as _tesserae_, and bearing the figures I-XVI, the sixteen referring to the number of _assi_ in a _sestertius_.[468] The {118} name _apices_ adhered to the Hindu-Arabic numerals until the sixteenth century.[469] To the figures on the _apices_ were given the names Igin, andras, ormis, arbas, quimas, calctis or caltis, zenis, temenias, celentis, sipos,[470] the origin and meaning of which still remain a mystery. The Semitic origin of several of the words seems probable. _Wahud_, _thaneine_, {119} _thalata_, _arba_, _kumsa_, _setta_, _sebba_, _timinia_, _taseud_ are given by the Rev. R. Patrick[471] as the names, in an Arabic dialect used in Morocco, for the numerals from one to nine. Of these the words for four, five, and eight are strikingly like those given above. The name _apices_ was not, however, a common one in later times. _Notae_ was more often used, and it finally gave the name to notation.[472] Still more common were the names _figures_, _ciphers_, _signs_, _elements_, and _characters_.[473] So little effect did the teachings of Gerbert have in making known the new numerals, that O'Creat, who lived a century later, a friend and pupil of Adelhard {120} of Bath, used the zero with the Roman characters, in contrast to Gerbert's use of the [.g]ob[=a]r forms without the zero.[474] O'Creat uses three forms for zero, o, [=o], and [Greek: t], as in Maximus Planudes. With this use of the zero goes, naturally, a place value, for he w
PREV.   NEXT  
|<   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82  
83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   >>   >|  



Top keywords:

Gerbert

 

apices

 
figures
 

numerals

 
counters
 
characters
 

common

 
column
 
jetons
 

called


adhered

 
century
 

Arabic

 

origin

 

counter

 

marked

 

Morocco

 
dialect
 
Patrick
 

strikingly


remain

 
mystery
 
Semitic
 

meaning

 

probable

 

genuine

 

timinia

 

thalata

 

thaneine

 

taseud


contrast
 

Adelhard

 
naturally
 

Planudes

 
Maximus
 

friend

 

notation

 

finally

 

celentis

 

ciphers


making

 

teachings

 

elements

 
effect
 

quimas

 

employing

 

leaving

 
places
 
lacking
 

possibly