The units that were used for measuring mass (weight) before the metric system became compulsory (1820) were: charge, shiffpfund, balle, chariot, quintal, stein, livre, marc, once, and loth. The largest unit for measuring mass (weight) was charge were 1 [charge] is equal to 400 [livre] or 195.799 [kg] while the smallest unit for measuring mass (weight) was loth were 1 [loth] is equal to 0.03125 [livre] or 0.015296875 [kg]. The 1 [livre] is equal to 0.4895 [kg]. The relation between units for measuring mass (weight) is given in the following table.
Charge |
Shiffpfund |
Balle |
Chariot |
Quintal |
Stein |
Livre |
Marc |
Once |
Loth |
1 |
$$\frac{4}{3}$$ |
2 |
$$\frac{80}{33}$$ |
4 |
50 |
400 |
800 |
6400 |
12800 |
$$\frac{3}{4}$$ |
1 |
$$\frac{3}{2}$$ |
$$\frac{20}{11}$$ |
3 |
$$\frac{75}{2}$$ |
300 |
600 |
4800 |
9600 |
$$\frac{1}{2}$$ |
$$\frac{2}{3}$$ |
1 |
$$\frac{40}{33}$$ |
2 |
25 |
200 |
400 |
3200 |
6400 |
$$\frac{33}{80}$$ |
$$\frac{11}{20}$$ |
$$\frac{33}{40}$$ |
1 |
$$\frac{33}{20}$$ |
$$\frac{165}{8}$$ |
165 |
330 |
2640 |
5280 |
$$\frac{1}{4}$$ |
$$\frac{1}{3}$$ |
$$\frac{1}{2}$$ |
$$\frac{20}{33}$$ |
1 |
$$\frac{25}{2}$$ |
100 |
200 |
1600 |
3200 |
$$\frac{1}{50}$$ |
$$\frac{2}{75}$$ |
$$\frac{1}{25}$$ |
$$\frac{8}{165}$$ |
$$\frac{2}{25}$$ |
1 |
8 |
16 |
128 |
256 |
$$\frac{1}{400}$$ |
$$\frac{1}{300}$$ |
$$\frac{1}{200}$$ |
$$\frac{1}{165}$$ |
$$\frac{1}{100}$$ |
$$\frac{1}{8}$$ |
1 |
2 |
16 |
32 |
$$\frac{1}{800}$$ |
$$\frac{1}{600}$$ |
$$\frac{1}{400}$$ |
$$\frac{1}{330}$$ |
$$\frac{1}{200}$$ |
$$\frac{1}{16}$$ |
$$\frac{1}{2}$$ |
1 |
8 |
16 |
$$\frac{1}{6400}$$ |
$$\frac{1}{4800}$$ |
$$\frac{1}{3200}$$ |
$$\frac{1}{2640}$$ |
$$\frac{1}{1600}$$ |
$$\frac{1}{128}$$ |
$$\frac{1}{16}$$ |
$$\frac{1}{8}$$ |
1 |
2 |
$$\frac{1}{12800}$$ |
$$\frac{1}{9600}$$ |
$$\frac{1}{6400}$$ |
$$\frac{1}{5280}$$ |
$$\frac{1}{3200}$$ |
$$\frac{1}{256}$$ |
$$\frac{1}{32}$$ |
$$\frac{1}{16}$$ |
$$\frac{1}{2}$$ |
1 |
The conversion of all mass (weight) units to livre and than to kilograms can be written as:
\begin{eqnarray}
1 [\mathrm{charge}] &=& 400 [\mathrm{livre}] = 195.79 [\mathrm{kg}]\\
1 [\mathrm{shiffpfund}] &=& 300 [\mathrm{livre}] = 146.85 [\mathrm{kg}]\\
1 [\mathrm{balle}] &=& 200 [\mathrm{livre}] = 97.89 [\mathrm{kg}]\\
1 [\mathrm{chariot}] &=& 165 [\mathrm{livre}] = 80.7675 [\mathrm{kg}]\\
1 [\mathrm{quintal}] &=& 100[\mathrm{livre}] = 48.949 [\mathrm{kg}]\\
1 [\mathrm{stein}] &=& 8 [\mathrm{livre}] = 3.916 [\mathrm{kg}]\\
1 [\mathrm{livre}] &=& 1 [\mathrm{livre}] = 0.4895 [\mathrm{kg}]\\
1 [\mathrm{marc}] &=& \frac{1}{2} [\mathrm{livre}] = 0.24475 [\mathrm{kg}]\\
1 [\mathrm{once}] &=& \frac{1}{16}[\mathrm{livre}] = 0.03059375 [\mathrm{kg}]\\
1 [\mathrm{loth}] &=& \frac{1}{32}[\mathrm{livre}] = 0.015296875[\mathrm{kg}]\\
\end{eqnarray}
No comments:
Post a Comment