800 
N tJ M BEK. 
fquare of 6, neither n nor the fquare of u, neithei io 
nor the fquare of io, will afford us their cube-roots. The 
only number which will afford us this, is the number 8, 
snd 64 the fquare of 8, with the fucceeding powers of 8, 
ad infinitum , whether integers or fractions. It is im- 
poflible, however, to fquare by 8; becaufe that number 
will not afford us its fquare-root. We are compelled to 
fquare only by 4., or the fucceflive powers of 4, each of 
which will afford us its fquare-root. Thus 64, the cube 
of 4, is the fquare of 8 ; and the fquare and cube meet 
each other at every fecond place in the table. This is 
the caufe why, in o< 5 tary arithmetic, we enumerate in 
pairs. Any other mode would abfolutely diflocate the 
whole of the fquare meafure, and render the new perch, 
rood, and acre, unintelligible. 
“All that is here intended, is the extenfion of our dry- 
meafure table, where the unit and cipher are properly 
placed at 8, giving it a new ffandard of long-meafure, 
inftead of its prefent ffandard, the inch. The new names 
proper for enumeration, being arbitrary, were fele£ted 
for their brevity and found. My dry-ineafure table is 
this : 
Eight Noggins 
Eight Pints - 
Eight Gallons 
Eight Bufhels 
Eight Hogflieads 
Eight Loads 
One Pint. 
One Gallon. 
One Bufliel. 
One Hogfhead 
One Load. 
One Boat. 
The tonnage of the boat is my new million, and bears 
the name of primo. The number is 262,144; and 
is then fet down in the New Arithmetic 1.00.00.00. I 
fubtraft a unit from this number, and my remainder is 
7 loads, 7 hogfheads, 7 bufhels, 7 gallons, 7 pints, and 
7 noggins, which forms one complete compound-parcel, 
to be divided into three fimple-parcels of two places each. 
“ Explanation of the Terms. —o, 1, 2, 3, 4, 5, 6, and 7, are 
ftgna fimplicia. Then follows the repeater, marked with 
the unit and cipher, to, fignifying 8 : its name is minimum 
fignorurn compofitormn. The firfl fyllable of the firft word 
of its name, min, is fixed on as its real name. The fuc¬ 
ceeding place is 100; its name minor fignorurn compojito- 
rum; the number equal to 64 of the decimal arithmetic. 
The next place is 1000 ; its name minimum minorum com- 
pofitorum; equal to 512. The next place is 10000; its 
name parvum fignorum compofitorum ; equal to 4096. The 
next place is 100000 ; its name minimum parvorum com- 
pofitorum, — 32,768. The next place is my new million ; 
its name primo ; equal to 262,144 of the old arithmetic.* 
This is the name of the fecond compound-parcel. Why 
then is it called primo? Becaufe the unit-parcel, which 
is the firfl compound-parcel, is never mentioned on the 
return of the line; it is therefore the filent-parcel; and 
primo bjeomes with propriety the name of the firfl vocal- 
parcel. The bino is the fquare of the primo, and is the 
name of the fecond vocal-parcel, and is attained by a 
repetition of all the names ufed in the firfl vocal-parcel: 
thus 77‘77'77» which is to be read as follows: Seven min 
feven parvum, feven min feven minor, and leven min 
feven.” 
We fhall now give, from the pamphlet, the Oftarian 
Notation as far as 100. 
0 Nought. 
14 
Min four. 
1 One. 
15 
Min five. 
2 Two. 
l6 
Min fix. 
3 Three. 
17 
Min feven. 
4 Four. 
20 
Two min, the old 16. 
Five. 
21 
Two min one. 
6 Six. 
22 
Two min two. 
7 Seven. 
2 3 
Two min three. 
10 Min, flie old 8. 
24 
Two min four. 
11 Min one. 
is 
Two min five. 
12 Min two. 
26 
Tw'o min fix. 
*3 Min three. 
27 
Two min fevea. 
1 
30 Three min, the old 24, 
31 Three min one. 
32 Three min two. 
33 Three min three. 
34 Three min four. 
35 Three min five. 
36 Three min fix. 
37 Three min feven. 
40 Four min, the old 32. 
41 Four min one. 
42 Four min two. 
43 Four min three. 
44 Four min four. 
45 Four min five. 
46 Four min fix. 
47 Four min feven. 
50 Five min, the old 40. 
51 Five min one. 
52 Five min two. 
53 Five min three. 
54 Five min four. 
55 FiVe min five. 
56 Five min fix. 
57 Five min feven. 
60 Six min, the old 48. 
61 Six min one. 
62 Six min two. 
63 Six min three. 
64 Six min four. 
65 Six min five. 
66 Six min fix. 
67 Six min feven. 
70 Seven min, the old 56. 
71 Seven min one. 
72 Seven min two. 
73 Seven min three. 
74 Seven min four. 
75 Seven min five. 
76 Seven min lix. 
77 Seven min feven. 
100 Minor, the old 64. 
The Numeration Table of Integers. 
The reader will obferve, that the numeration is to be 
read in pairs, and in parcels of three pairs each. Whole 
numbers are punftuated with a period; fra&ions with 
a comma. The period at foot marks the parcels, the 
period at head the pairs. The upper line is thus fpoken : 
Seven bino; feven min feven parvum, feven min feven 
minor and feven min feven primo; feven min feven parvum, 
feven min feven minor, and feven min feven. Fractions 
are enumerated in the fame manner. They extend to 
twelve places, and confifl of two parcels ; the firft is called 
the frufition-parcel, the fecond the final-parcel. The comma 
at foot marks the fraction and the parcel ; the comma at 
head divides them into pairs: thus ,77’77’77>77’77’77 > 
which are thus fpoken: Seven min feven parvum, feven 
min feven minor, and feyen min feven fraction ; feven min 
feven parvum, feven min feven minor, and feven min 
feven final. 
“ As addition and fubtradlion are performed in the 
fame manner exaftly as they are in our dry-meafure table, 
I need not give examples of them, but proceed to 
4 
The 
