Jacob Amsler (*1823-†1912), Schaffhausen.

Amsler planimeter diagram.

Diagram of the original planimeter, from the paper published by Jakob Amsler in 1856.

Amsler, J; Über das Polar-Planimeter, Dinglers polytechnisches Journal, 1856, Band 140, Nr. LXXIII. (S. 321–327).


Planimeter type 1 and 2

This electrum planimeter (far right) is an older version of model 1 and differs from the one illustrated in Amsler's 1930s catalogue. Serial number 41661 dating from ca. 1910.  

 

 

  

 

 

 

 

 

 

  

Amsler Catalogue ca. 1930.

 

 

 

 

Illustration of the earlier version of type 1 from: Dyck, Walther von; Katalog mathematischer und mathematisch-physikalischer Modelle, Apparate und Instrumente. 1892. CNUM.


Planimeter type 1a and 2a

Similar to type 1 and 2, but having no counting disc for indicating complete revolutions.


Planimeter type 3 and 4

Very early unsigned Amsler type 4 brass planimeter (far right) with serial number 4107, c. 1866.

The paper label on the case with the inscription 'Planimetro' along with a calibration date (?) indicates that this planimeter was still in use in 1931 in Italy.  

The Musée des Arts et Métiers

in Paris have 2 early model 4's; one no. 3691 dated c. 1865 and another no. 5361 dated c. 1868.


Planimeter type 5

Type 5 pantograph-planimeter (far right) made by or for Kern Aarau. Made of electrum, serial number 36221, ca. 1900.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

 

Type 5 illustration from: 

Extrait-Catalogue Secrétan: géodésie, undated c. 1900. CNUM


Planimeter type 6

Standard size type 6 planimeter (far right) is similar to type 4 but with steel points on top of the tracer arm for rapidly finding the mean height of indicator diagrams. Made of electrum, serial number 26247, dating from ca. 1900.

Type 6 was produced in 3 sizes.


Planimeter type 6, large size.

Exceptionally long planimeter (47cm) with steel points on top of the tracer arm for rapidly finding the mean height of indicator diagrams. This instrument is the largest variant of type 6. It is lacking the knob on the tracer arm. Serial number 77969, ca. 1935.


Planimeter type 9

Amsler linear planimeter.

 

 

 

 

 

 

 

Dyck, Walther von; Katalog mathematischer und mathematisch-physikalischer Modelle, Apparate und Instrumente. 1892. CNUM.

 

 

 

 

 

 

 

H. Morin; Les Appareils d'Integration. 1913 Internet Archive.


Amsler spherical planimeter (left)

Durand-Amsler radial planimeter (right)

 

 

  

 

 

Illustration from: H. Morin; Les Appareils d'Integration. 1913 Internet Archive.


Amsler integrators

 

 

 

 

 

 

 

 

 

Illustration from: H. Morin; Les Appareils d'Integration. 1913 Internet Archive.


 

NOTES  / REFERENCES

 

1. Amsler Manual ca 1930.

 

2. http://www-history.mcs.st-andrews.ac.uk/Biographies/Amsler.html

 

3. J. Y. Wheatley; The polar planimeter and its use in engineering calculations together with tables, diagrams, Keuffel & Esser, New York 1908. Internet Archive,