Elementary arithmetic, with brief notices of its history... by Robert Potts.

34

X.
1. '8 =9X-4. 2. The difference is -1 the product 1. 3. 4. 4. 10-. 5.
1 420 4 1
5- '24-3 6.6 -1. 7. The quotient is greater than the product. 8. 9-2. 9. 999g.
10. -7 111. 13
1 18500
12 1397 1 1 1 1 1 1 1 1 14 5 9 32
12.
2448-+11+3+1+l13+3+13 '3' 7' 9' 16, 57
XI.
1. 27.7-. 2. 11830. 3. 12. 4. 244.. 5 ' 6. 19 7. -800
XII.
The operations indicated in the first four expressions offer no difficulty.
2.13 23.29 3.37
5. The expression is equivalent to X 377X2 -5
6. The left side of the expression can be put under the form148 t 1 3 3 1
110.135 (1112.13 11. 12.36 11. 36. 37 36.37.38
And 1 + 3=_- 1-1 +1 _ 2____
11.12.13 11.12.36 11.12.13 123 11.12.13.12
25 3 - 1 25 1}) 1081
11.12.13.12 11.36. 37 -11.12 '.13.12 37 + 11.12.13.12. 37
1081 1 I 3243 ) 124950
~11.12.13.12.37 36.37.38 36.37 I1.12.13 38 11.12.13.36.37.38
49.50.51
-11.12.13.36.37.38
Therefore J148_. 49.50.51 151
110.135 11.12.13.36.37.38 13.138
7. See Art. 11, note.
CONCRETE FRACTIONS.
XIII.
1, 2, 3. Art. 17, and note. 4. The direct anti converse. 5. ~2 10s. 5I-d. 6.
7i(, o 7. 74 and i 5 8. 13' 9 44 10. - of 1 guinea. 11. ~, and 3-,s.
12. 3 7. 13. The direct and converse. 14. 7- of estate =-~1003 17s. 6d.:
— =~200 15s. 6d., and 77 or whole estate=~3413 3s. 6d.
XIV.
1. Art. 18. 2. ~5 12s. 4,d. 3. ~7 14s. 57d. 4. ~140 10s. 114-d. 5.
~54 2s. 2Ad. 6. 2,7 of 1 guinea. 7. T ov0 of ~100. 8. ~1 10s. 6d. 9. 60 of half
a sovereign. 10. 7' of ~ 1.11. -7-7 of a crown. 12. -A" of a crown. 13. Re.
niailing share o-, and its value ~3080. A received ~2 5s. 10d., and B ~2 Is. 8d.
XV.
1, See on M Iultiplication anti Division of Concrete integers. 2. 7' of ~1 -~1 12s. 11 d. 3. The shorter course is to add 7 of the sunm to thirteen times the
sum. The result is~89 6s. 17ld. 4. 1640831. 5. 7..7 of ~l1. 6. ~5 Is. 17-1. 7.;264 2s. 8. The quotient 91`-7 indicates the number of times the latter sum is Con