of Snellius,
Museum Boerhaave, Leiden on Snellius's house in Leiden In 1615, Snellius, became the first known surveyor since
Eratosthenes in 3rd century BC
Ptolemaic Egypt to use
triangulation to make a large-scale
arc measurement to determine the
Earth's circumference. In his work
The terrae Ambitus vera quantitate (1617) under the author's name ("The Dutch Eratosthenes") Snellius describes achieving his result by calculating the distances between a number of high points in the plain west and southwest of the Netherlands using
triangulation. By necessity Snellius's high points were nearly all
church spires, virtually the only tall buildings at that time in the west of the Netherlands. More or less ordered from north to south and/or in successive order of measuring, Snellius used a network of fourteen measure points to make a total of 53 triangulation measurements. These cities were:
Alkmaar:
St. Laurenskerk;
Haarlem:
Sint-Bavokerk;
Leiden: a then new part (built in 1599) of the
city walls;
The Hague:
Sint-Jacobskerk;
Amsterdam:
Oude Kerk;
Utrecht:
Cathedral of Utrecht;
Zaltbommel: ;
Gouda:
Sint Janskerk;
Oudewater: ;
Rotterdam:
Sint-Laurenskerk;
Dordrecht:
Grote Kerk;
Willemstad: ;
Bergen-op-Zoom:
Gertrudiskerk;
Breda:
Grote Kerk. Snellius was helped in measuring by two of his students, the Austrian barons Erasmus and Casparus Sterrenberg. In several cities he also received support of friends among the civic leaders (
regenten). In order to carry out these measurements accurately Snellius had a large
quadrant built, with which he could accurately measure angles in tenths of degrees. This instrument can still be seen in the
Museum Boerhaave in Leiden. In his calculations Snellius made use of a solution for what is now called the
Snellius–Pothenot problem. He came up with an estimate of 28,500 Rhineland
rods – in modern units 107.37
km for one degree of
latitude. 360 times 107.37 then gives a
circumference of the Earth of 38,653 km. The actual circumference is 40,075 kilometers, making Snellius' estimate 3.5% low. == Mathematics and physics ==