Roman measures of capacity for things liquid, reduced to english wine measure, the wine pint holding 287/8 solid inches.

No. I.

Pints
Sol. in. dec.
Ligula
0,1/48  0,117 5/12
 4
Cyathus 0,1/12  0,469 2/3
 6
 1
Acetabulum 0,1/8  0,704 1/2
12
 3
2
Quartarius 0,1/4  1,409
24
 6
4
2
Hemina 0,1/2  2,818
48
12
8
4
2
Sextarius
1  5,636

Possibly No. I. may be better understood in the following form.

No. II.

 Eng. wi. 
Solid
 Ligulæ. 
 Cyathi. 
 Acetab. 
 Quart. 
 Hem. 
 Sext. 
 pint.
inch.
48
or
12 
or
8
or
4
or
2
==
1
==
 1. and
5.636
24
or
 6 
or
4
or
2
==
1
-
==
 0.
 17.255
1/2
12
or
 3 
or
2
==
1
-
-
==
 0.
8.627
3/4
 6
or
1 1/2
 == 
1
-
-
-
==
 0.
4.313
7/8
 4
 == 
 1 
-
-
-
-
==
 0.
2.875
11/12
 1
-
-
-
-
-
==
 0.
0.718
47/48

Roman measures of capacity for things dry, reduced to english corn measure, the english corn pint holding 33 3/5 inches.

No. III.

Pints
Sol. in. dec.
Ligula
0,1/48
0,01
 4
Cyathus 0,1/12
0,04
 6
1 1/2 
Acetabulum 0,1/8
0,06
24
 6  
4
Hemina 0,1/2
0,24
48
12  
8
2
Sextarius
1
0,48

The same table in another form.

No. IV.

Eng. corn
Solid
 Ligulæ.
 Cyathi.
 Acetab.
 Heminæ.
 Sextarius.
 pint.
 inches
48
or
12 
or
8
or
2
==
1
==
 1. and
0.48 
24
or
 6 
or
4
==
1
==
 0.
17.04 
 6
or
1 1/2
==
1
==
 0.
4.26 
 4
==
 1 
==
 0.
2.84 
 1
==
 0.
0.71 

Note, The tables, No. I. and No. III. are exactly copied from Dr Arbuthnot, No. XII. and XIII. I have here gone no higher than the sextarius, as that is the greatest measure mentioned by Celsus; it has its name from making the sixth part of the Roman congius.

I would have taken the table of weights from Dr Arbuthnot also, if he had given one accommodated to Celsus; but as he has not, I have composed the following, No. VI. according to the division of Celsus himself, who tells us[ U ], that he divides the uncia, or ounce, into seven denarii, and the denarius into six sextantes.

Besides these, in several compositions our author uses semuncia and sescuncia, that is half an ounce and ounce and half; and to save the reader the trouble of reduction, I have given them also a place in the table.

The accurate Mr Greaves[ V ], from repeated experiments, concluded the Roman denarius to contain 62 grains English Troy weight, from which the proportions of the other weights are determined.

No. V.

Grains.
Scruples.
Drachms.
Ounces.
Pound Troy.
gr.
Ʒ
5760 
or
288 
or
96  
or
12 
==
1
480 
or
24 
or
8  
 == 
1 
60 
or
3 
== 
1  
20 
 == 
1 
1 

Celsus’s weights compared with apothecaries’ weights.

No. VI.

Grains of
Sextan-
Dena-
Semun-
Ses-
Li-
Apothecaries’.
Troy wt.
tes.
rii.
ciæ.
Unciæ.
cun.
bra.
Ʒ
gr.
5208 
 or 
504
 or 
84 
 or 
24
 or 
12 
 or 
8
==
1
==
10 :
6 :
2 :
 8 
651 
or
63
or
10 1/2
or
3
or
1 1/2
==
1
==
 1 :
2 :
2 :
11 
434 
or
42
or
7 
or
2
==
1 
==
 0 :
7 :
0 :
14 
217 
or
21
or
3 1/2
==
1
==
 0 :
3 :
1 :
17 
62 
or
6
==
1 
==
 0 :
1 :
0 :
 2 
10 1/3
==
1
==
 0 :
0 :
0 :
10 1/2
1 
==
 0 :
0 :
0 :
 1 

Note 1st. The Romans divided all integers, as they did their as, into twelve equal parts called unciæ. Thus the sextans was the sixth part of the as, containing two of these unciæ, quadrans one fourth, or three unciæ, triens the third part, or four unciæ, semis one half, or six unciæ, bes or bessis two-thirds, or eight unciæ, dodrans three-fourths being nine unciæ. The weight of these then differs, as the integer is the libra, the uncia, or denarius, which the attentive reader will easily reduce, if he is disposed to calculate the quantities, observing that they are not to be taken for aliquot parts of the denarius, but when they follow the mark of the denarius. The integer preceding, and the nature of the composition will be the best explication.

Note 2. The denarius mark was X or 𐆖, as containing originally ten small asses. This by the copiers has been often confounded with X, denoting the number of ten denarii; so that after all the pains of critics and commentators, the proportions of the ingredients in several compositions seem to be irrecoverably lost. For this reason, I suppose the later editors have thought fit to change it for the common asterisk.

Note 3. The characters for quantities are variously marked in different authors, and the same note has several values. There is one of this uncertainty in Celsus, that is Z, which we are told expresses the libra, the sescuncia, the sextans of a pound, the denarius and the sextans of a denarius[ W ]. Which of these different values it bears in any particular place must be determined by the connection. When it follows the mark of the denarius, it can mean no more than the sextans of a denarius.

Note 4. p. stands for pondo, which is an indeclinable word, and when joined with numbers, signifies libra or a pound; when with other weights, it stands for no more than pondus or weight in general.

For an example of the reduction of Celsus’s weights to ours, the following may serve.

Lib. v. cap. 19. no. 7. Philotas’s plaister contains,

Of Eretrian earth
Ʒ
gr.
— chalcitis, each p. iv.*.
==
1/2 :
0 :
0 :
8
viz. Ʒi. gr. ii.
multiplied by 4
—and so all
the rest.
— myrrh
— calcined copper, each p. x.*. ==
1  :
2 :
1 :
0
— isinglass p. vi. *. ==
0  :
6 :
0 :
12
— rasile verdigrease
— round allum
— crude misy
— birthwort, of each p. viii.*. ==
1  :
0 :
0 :
16
— copper scales p. xx.* ==
 21/2 :
0 :
2 :
0
— male frankincense, p. ii.*. ==
0  :
2 :
0 :
4
— oil of roses
— Bitter oil, of each three cyathi, or 1 quartarius = between 1/4 and 1/3 of an English pint.
— vinegar, a sufficient quantity.