NOT 
prefent the reader with another example, drawn from the 
urce. 
fame fo 
pow g's 3 
Poa gy a 
xeve® eae ae 
MM 
ys 32) P 3" 5” 4 g!! 7 
M 
gow oy 
ABs po 32" 6" 4! 1° 
M 
— 
The divifion of the Greeks was {till more intricate than 
their multiplication: for which reafon, it feems they gene- 
rally preferred the fexagefimal divifion; and no example is 
left at length, by any of thofe writers, except in the latter 
form. But thefe are fufficient to throw fome light on the 
procefs they followed, in the divifion of common numbers ; 
and Delambre has accordingly fuppofed the following ex- 
ample. 
Example in Divifion. 
)rAB.yrnd (guxy 
pt B-¥ 
eury 
pu- ox 
pyeeanv 
2.2 R) x0 
yeG ug 
gud 0 
put § 
a7" 3 3" 2' 9° ( 7" ts 2 a 
182 3 os a 
es ae 
150 0 329 
145 8 4 
41929 
3 646 
5469 
5 469 
muft have rendered this rule extremely laborious: 
for the extraction of the f{quare root was of courfe equally 
difficult, the principle of which was the fame as our’s, ex- 
cept in the difference of the notation; though it appears 
that they frequently, inftead of making ufe of the rule, 
found the root by fucceffive trials, and then fquared it, in 
order to prove the truth of their affumption. 
rom the foregoing fketch of the notation and arithmetic 
of the Greeks, the reader will be able to form fome eftimate 
of the value and importance of the prefent fyftem, which 
6 
NOT 
does 
di 
which we mu 
modern analyfis and aftronomy. Let any one compare the 
complicated multiplications of the ancients with the loga- 
rithmic operations of the moderns, and he will foon be con- 
vinced, that he cannot fet too high a value upon the dif- 
how flow and progreflive are the fteps to knowledge, and by 
what imperceptible degrees we arrive towards perfeCtion. 
From the firft rude efforts of the Greeks, when their nota- 
tion carried them no farther than to write down 10,000, or 
a myriad, he will be able to trace them through their feveral 
fuccefive improvements, until it became indefinite, hke our 
own: firft, by placing the character M under the number 
Numbers. 
Norarion, in Algebra, is the reprefenting of quantities 
by letters of the alphabet; or calling them by thofe names, 
c. 
See Nores. 
NOTCH, The, in Geography, a pafs on the weftern part 
of the White mountains, in New Hampfhire, America. 
Notcu, Cape, the weft point of Goodluck bay, in the 
. W. long. 74° 34'. 
whence they were fometimes denominated curfores, quia notis 
curfim verba expediebant. 
Notes, figns or characters ufed to exprefs the tone and 
time of each found in writing mufic. For the twenty-four 
letters of the Greek alphabet, ufed for mufical characters, 
nd without the leaft mo-~ 
dification of doubt, or even condefcendiug to allege a fingle 
reafon 
