A lemon or a tangerine?

What is this all about

Five points

1. The dispute. In the early 1700s, there were competing theories about the shape of the Earth in European scientific circles. Is the Earth flattened or elongated at the poles? The dispute concerned, among other things, Newton's theory of gravitation.

2. The solution. The French Académie des sciences sent two expeditions to find the solution. One expedition headed for the equator in Peru, the other for the Arctic Circle. The northern expedition was led by mathematician and astronomer Pierre Louis Moreau de Maupertuis (1698–1759).

3. Degree measuring. The expeditions measured the length of one degree of the meridian arc. If it were longer at the Arctic Circle than, say, in France, the globe would be flattened at the poles.

4. Triangulation. The length of one degree was measured in the terrain between Tornio and Pello using triangulation. The degree difference between the ends of the chain of triangles was determined astronomically.

5. Empirical evidence. The Torne Valley was a major stage in the history of science when, for the first time, the Earth was empirically proven to be flattened at the poles according to Isaac Newton's theory of gravitation.

Travelogues take you back in time

The expedition notes resulted in the books The Figure of the Earth (La Figure de la Terre, 1738) and Journal of a voyage to the North (Journal d'un voyage au Nord, 1744).

The former was written by the leader of the expedition, the academic Pierre Louis Moreau de Maupertuis. The work is a mixture of a scientific report and a travelogue. The latter was a journal written and illustrated by a member of the expedition and clergyman, Abbé Réginald Outhier.

Thanks to these works, we can even today follow in the footsteps of the French explorers to the Torne Valley of the 1730s.

Is the Earth shaped like a tangerine or a lemon?

In the early 1700s, there were competing theories about the shape of the Earth, and citrus fruits were used to illustrate the different views.

Simply put, it was a dispute between Cartesian and Newtonian natural science. According to the French philosopher and mathematician René Descartes (1596–1650), the Earth tapered at its poles like a lemon.

According to the English physicist and mathematician Isaac Newton's (1643–1727) theory of gravitation, the Earth is flattened at its poles like a tangerine.

France wanted success in science and shipping

To resolve the dispute, the French Académie des sciences sent an expedition to the South American equator in 1735, and a year later another expedition to the Torne Valley by the Arctic Circle.

The expeditions would measure the length of one degree of the meridian arc. If it were longer at the Arctic Circle than in France and at the equator, the Earth would be flattened at the poles.

For France, measuring the shape of the Earth was both a matter of prestige and a practical matter. Colonial and commercial shipping benefited from more accurate nautical charts. King Louis XV of France was ready to invest in degree measuring.

Research in the Arctic Circle

The eight-member northern expedition was led by mathematician and astronomer Pierre Louis Moreau de Maupertuis (1698–1759).

The expedition spent a year in the hills between Tornio and Pello, taking geodetic measurements with the best research equipment of the time.

The markers were built on hilltops so they could be seen from afar.

In the summer and autumn of 1736, the expedition built markers (signals) and a chain of survey triangulations on the hills with the help of local people. A lot of trees were cut down on the hills, as a line of sight from one marker to the other had to be established.

The researchers split into groups and travelled back and forth between the measurement points. A large number of local helpers were always involved in the research. Step after step, countless nights slept out and mosquitoes slapped were accumulated.

Members of the expedition

Triangulation based on trigonometry

Triangulation had become an established method of cartography in the 1500s and 1600s. Once the length of one side of one triangle in a chain of triangles (the baseline) is known, the rest can be calculated trigonometrically by measuring the angles between the sides.

A quadrant was used to measure the angles.

The Maupertuis expedition measured the baseline of the chain on the ice of the Torne at Ylitornio. The work was carried out in December in severe frost.

For the measurement, wooden sticks about 10 metres long were placed on the ice, one after the other, for a distance of about 14 kilometres.

Distance measured by the stars

Once the chain of survey triangulations had been built in the summer and the distance between Tornio and Pello had been measured, it was time to move on to the night sky.

In the autumn of 1736, observatories were built in Tornio and Pello. In these, scientists measured the position of points on the meridian arc in the zenith sector. The fixed star used was the δ or delta star of the constellation of the Dragon. This was used to calculate the difference in degrees between the ends of the triangle.

Once the length of the degree was measured, it could be compared with a similar measurement made previously in France.

The process may sound simple, but in the circumstances of that particular period it was not. Just the task of transporting large and valuable instruments to the measurement points was an operation in itself. Fortunately for the expedition, the Torne proved to be a good passage.

The sector and the quadrant were the expedition's most important tools.

A major scientific achievement

The Torne Valley was set as an important stage for the history of science when the expedition became the first in the world to empirically prove that the Earth was flattened at the poles. The measurement confirmed Newton's theory of gravitation.

The next major triangulation project in Finland was the measurements for the Struve Geodetic Arc in 1830–1855. In the chain of survey triangulations from the Arctic Ocean to the Black Sea, the same points were used for the Torne Valley as in the measurements conducted by Maupertuis 100 years earlier.

Triangulation was the preferred method of measurement until the late 1980s. At that time it was replaced by GPS satellite positioning. The National Land Survey of Finland was one of the first in the world to implement it in 1986.

The triangulation chain was built between Tornio and Pello.
Finnish translations of the travelogues.