The term
Ancien Regime refers to the old measures from the system of Charlemagne i.e. these measures were used before French Revolution of 1789. On of the problems was that units varied from one region to another, subdivisions were irregular (suffered regional variation) which resulted in complications of business transactions. The nautical units of length were: lieue marine (nautical league), mille marin (nautical mile), encablure (cable length), toise, brasse (fathom), and pied (foot). The largest unit was lieue marine (nautical league) were 1 [lieue marine (nautical league)] is equal to 18000 [pied (foot)] or 5847.1 [m]. The smallest unit was pied were 1 [pied (foot)] is equal to 0.3248394167 [m]. The values of all Ancien Regime nautical length units is shown in following table.
| lieue marine (nautical league) |
mille marin (nautical mile) |
encablure (cable length) |
toise |
brasse (fathom) |
pied (foot) |
| 1 |
3 |
30 |
3000 |
3600 |
18000 |
| $$\frac{1}{3}$$ |
1 |
10 |
1000 |
1200 |
6000 |
| $$\frac{1}{30}$$ |
$$\frac{1}{10}$$ |
1 |
100 |
120 |
600 |
| $$\frac{1}{3000}$$ |
$$\frac{1}{1000}$$ |
$$\frac{1}{100}$$ |
1 |
$$\frac{6}{5}$$ |
6 |
| $$\frac{1}{3600}$$ |
$$\frac{1}{1200}$$ |
$$\frac{1}{120}$$ |
$$\frac{5}{6}$$ |
1 |
5 |
| $$\frac{1}{18000}$$ |
$$\frac{1}{6000}$$ |
$$\frac{1}{600}$$ |
$$\frac{1}{6}$$ |
$$\frac{1}{5}$$ |
1 |
All Anicen Regime nautical length units converted to pied units and in meters are given below.
\begin{eqnarray}
1 [\mathrm{lieue\quad marine\quad(natuical\quad league)}] &=& 18000[\mathrm{pied (foot)}] = 18000 \cdot 0.3248394167[\mathrm{m}] = 5847.11[\mathrm{m}]\\
1 [\mathrm{mille\quad marin \quad (nautical \quad mile)}] &=& 6000[\mathrm{pied (foot)}] = 6000\cdot 0.3248394167[\mathrm{m}] = 1949.036[\mathrm{m}]\\
1 [\mathrm{encablure \quad (cable \quad length)}] &=& 600 [\mathrm{pied (foot)}] = 600\cdot 0.3248394167[\mathrm{m}] = 194.9[\mathrm{m}]\\
1 [\mathrm{toise}] &=& 6 [\mathrm{pied (foot)}] = 6 \cdot 0.3248394167[\mathrm{m}] = 1.9490365002 [\mathrm{m}]\\
1 [\mathrm{brasse\quad (fathom)}] &=& 5 [\mathrm{pied (foot)}] = 5 \cdot 0.3248394167 [\mathrm{m}] = 1.6241970835 [\mathrm{m}]\\
1 [\mathrm{pied \quad (foot)}] &=& 1 [\mathrm{pied (foot)}] = 1 \cdot 0.3248394167 [\mathrm{m}] = 0.3248394167[\mathrm{m}]\\
\end{eqnarray}
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