DUO
311
DUO
:r "\
Example 5.
■\r .ft / 11 tit ' v ft t it III
Multiply 3 •• 6 •• 4 •• 6 •• 5 by 0 •• 0 •• 5 * 3
III ft
”3
12
// in iv
3-6-4-6-5
63
Proofs by duodecimals.
hi iv
6-5
0-0-5-3
0 - 10 - 7 - 1 - 7-31 - 5 - 7 - 10 - 8-1
1 - 6 '
5-9-8-3
6102
12
73229
63
219687
439374
l 2 ) 4613427
12)384432 -3
12 ) 32037 •• 8
12 ) 2669 •• 9
12 ) 222 - 5
12 ) 18 - 6
12 ) 1 - 6
-*** t . 0 - 1 - 6 - 6 - 5 - 9 - 8 - 3K ’ U| e same as by duodecimals.
8 in t i Xam Pl e > because there are seven places of duode-l[®6 'n tl> Ue tv ' r ° factors, viz., four in the multiplicand, and^h 8 sno„ e Multiplier, the product 4613427 is divided seven
Nl • ’ ei U anot * ler method of duodecimals, almost equallyClean’d T he rule is as follows: First.—Under the'holier ’ Pl &ce the corresponding denominations of the
Ih *
ftJJl'Plic^j^Ply e nch denomination, from right to left, of thec by each term of the multiplier successively
itig Mvv, 0 4 to the right, placing the first denomination of0t * e f rot P ro< l uc t, one place nearer to the right, and carry-
I V
Example 6.
"If , ft f II ft i U
multiply 10 - 4 - 5 by 7 •• 8 - 6
ft f f!
10 - 4 - 5 Multiplicand.7 - 8 - 6 Multiplier.
72 — 6—116-10 11-45-2 2-6
79 - 11 - 0 - 6-6
Example 7.
ft 1 11 111 2 , u m
Multiply 23 - 4 - 6 - 7 by 7 - 8 •• 5 •• 10
10- 10- 4-8• 8-10-8-9- 5-9-
10
180 -2 4 » 10 -2-4 - 10
Proof by the first method.
QO
N
5- 10
1
- 9
- 5-9-
5- 10
9
» 8
- 10-8 -
11
15-7
- 0
- 4-8
163 - 7
- 10
•• 1
O
00
t-H
.. 4
-10 - 2 -
4-10
There is the same number of figures in each operation, butin the last the products are inverted. The first method,which is here used to prove the second, is similar to the com-mon method of multiplication of integers, the first place offigures of every product being placed under the second deno-mination towards the left.
When feet and inches only are concerned, the readeris referred to the articles Cross Multiplication , andPractice.
D WANGS, a term used in Scotland , for the short piecesof timber employed in strutting a floor.
DWAEF WALLS, low walls of less height than thestory of a building. Sometimes the joists of a ground-floorrest upon dwarf walls 5 and the enclosures of courts are fre-quently formed by them with a railing of iron on their top :indeed, any low wall used as a fence, may be termed a dwarfwall.
DWELLING-HOUSE. See Building and House.
DYE, the plain part of a pedestal, contained between thebase and cornice, in the form of a square prism, approachingfrequently to a cube or dye, whence the name originates.
The dye of a pedestal is generally placed in the same ver-tical plane with the vertical sides of the plinths of columns;there is, however, an instance in the dye of the pedestals ofthe columns of the Stoa, or Portico , at Athens, where thedye recedes within the vertical sides of the plinths of thebases. The practice of using pedestals under columns, isbad at the best; but in this instance their employment is stillmore ridiculous, being contrary to the rules of true taste andphilosophy.
Dye , is also used for a cube of stone, placed under the feetof a statue and beneath its pedestal, to raise, and show it tomore advantage.
Dye. See Dado.
DYNAMOMETER, (measurer of power), a term whichhas been applied to an instrument for measuring force orpower. The Dynamometer has been used by engineers forascertaining the tractive power required in drawing carriages
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