Skip to main content

Historical Angular Measurement

  • Chapter
  • First Online:
History and Measurement of the Base and Derived Units
  • 579 Accesses

Abstract

The quantification and measurement of angles is important in scientific, as well as every day, applications. Several systems have been developed to quantify angles beginning in ancient times. Most systems begin with a circle and divide the circle into equal segments of arc. Measurement of the angles thus defined has been accomplished by using a number of devices and/or the functions defined by trigonometry. There are two common angle systems in use today: English/U.S. standard of degree-minute-seconds and the SI standard of radians. For solid angles, the SI standard is the steradian. From a practical standpoint, the use of degrees is far more common. This chapter reviews the history of the approaches to defining angles and provides methods for converting between angular measurements.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. François C (2003) Encyclopaedia of scientific units, weights and measures: their SI equivalents and origins. English translation by Shields MJ, Springer, London

    Google Scholar 

  2. History of measurement, http://en.wikipedia.org/wiki/History_of_measurement. Accessed 31 May 2015

  3. History of Measurement, http://historyworld.net/. Accessed 30 May 2015

  4. Katz DA (2015) Scientific measurements, http://www.chymist.com/Measurement.pdf. Accessed June 2015

  5. Ventrudo B (2015) Measuring the sky, http://oneminuteastronomer.com/860/measuring-sky/. Accessed 19 July 2015

  6. Degree (angle), https://en.wikipedia.org/wiki/Degree_(angle). Accessed 19 July 2015

  7. Turn (geometry), https://en.wikipedia.org/wiki/Turn_(geometry). Accessed 10 Sept 2016

  8. Gradian, https://en.wikipedia.org/wiki/Gradian. Accessed 11 Sept 2016

  9. Angular mil, https://en.wikipedia.org/wiki/Angular_mil. Accessed 19 July 2015

  10. Metric system, https://en.wikipedia.org/wiki/Metric_system. Accessed 13 June 2015

  11. Angle, https://en.wikipedia.org/wiki/Angle. Accessed 10 Sept 2016

  12. Steradian, https://en.wikipedia.org/wiki/Steradian. Accessed 10 Sept 2016

  13. American Petroleum Institute (1974), Manual of petroleum measurement standards, chapter 15, section 2, conversion of operational and process measurement units to the metric (SI) system, API Publication 2564, March 1974

    Google Scholar 

  14. Weast RC et al (eds) (1968) Handbook of chemistry and physics, 49th edn. The Chemical Rubber Company, Cleveland, OH, USA

    Google Scholar 

  15. Peters MS et al (eds) (1963) Perry’s chemical engineers’ handbook, 4th edn. McGraw-Hill, New York

    Google Scholar 

  16. Angular unit, https://en.wikipedia.org/wiki/Angular_unit. Accessed 10 Sept 2016

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Steven A. Treese .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Treese, S.A. (2018). Historical Angular Measurement. In: History and Measurement of the Base and Derived Units. Springer, Cham. https://doi.org/10.1007/978-3-319-77577-7_10

Download citation

Publish with us

Policies and ethics