Repeating circle

12-inch repeating circle.
Repeating circle on display at the Musée national de la Marine.

The repeating circle is an instrument for geodetic surveying, invented by Etienne Lenoir in 1784,[1] while an assistant of Jean-Charles de Borda, who later improved the instrument. It was notable as being the equal of the great theodolite created by the renowned instrument maker, Jesse Ramsden. It was used to measure the meridian arc from Dunkirk to Barcelona by Jean Baptiste Delambre and Pierre Méchain.

Construction and operation

The repeating circle is made of two telescopes mounted on a shared axis with scales to measure the angle between the two. The instrument combines multiple measurements to increase accuracy with the following procedure:

Mode of operation:
(1) The instrument is aligned so its plane includes the two points to be measured, and each telescope is aimed at a point;
(2) Keeping the angle between the telescopes locked, the left (black) telescope is rotated clockwise to aim at the right point;
(3) the right (gray) telescope's position is noted, and it is rotated back to the left point.

At this stage, the angle on the instrument is double the angle of interest between the points. Repeating the procedure causes the instrument to show 4x the angle of interest, with further iterations increasing it to 6x, 8x, and so on. In this way, many measurements can be added together, allowing some of the random measurement errors to cancel out.[2]

See also

References

  1. ↑ Daumas, Maurice (1989). Scientific Instruments of the Seventeenth and Eighteenth Centuries and Their Makers. London: Portman Books. ISBN 978-0-7134-0727-3.
  2. ↑ Alder, Ken (2002). The Measure Of All Things. ISBN 0-7432-1675-X.
This article is issued from Wikipedia - version of the 10/22/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.