SEARCH
0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Prev | Current Page 190 | Next

Conant, Levi Leonard

"The Number Concept Its Origin and Development"


3,200,000. centzonxiquipilli = 400 x 8000.
64,000,000. cempoaltzonxiquipilli = 20 x 400 x 8000.
Up to 160,000 the Nahuatl system is as simple and regular in its
construction as the English. But at this point it fails in the formation of
a new unit, or rather in the expression of its new unit by a simple word;
and in the expression of all higher numbers it is forced to resort in some
measure to compound terms, just as the English might have done had it not
been able to borrow from the Italian. The higher numeral terms, under such
conditions, rapidly become complex and cumbersome, as the following
analysis of the number 1,279,999,999 shows.[366] The analysis will be
readily understood when it is remembered that _ipan_ signifies plus.
_Caxtolli onnauhpoaltzonxiquipilli ipan caxtolli onnauhtzonxiquipilli ipan
caxtolli onnauhpoalxiquipilli ipan caxtolli onnauhxiquipilli ipan caxtolli
onnauhtzontli ipan caxtolli onnauhpoalli ipan caxtolli onnaui;_ _i.e._
1,216,000,000 + 60,800,000 + 3,040,000 + 152,000 + 7600 + 380 + 19. To
show the compounding which takes place in the higher numerals, the analysis
may be made more literally, thus: + (15 + 4) x 400 x 800 + (15 + 4) x 20 x
8000 + (15 + 4) x 8000 + (15 + 4) x 400 + (15 + 4) x 20 + 15 + 4. Of
course this resolution suffers from the fact that it is given in digits
arranged in accordance with decimal notation, while the Nahuatl numerals
express values by a base twice as great.


Pages:
178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202