# 三角測量

## 基於兩固定角度之距離量測

### 計算

${\displaystyle \ell ={\frac {d}{\tan \alpha }}+{\frac {d}{\tan \beta }}}$

${\displaystyle \ell =d\left({\frac {\cos \alpha }{\sin \alpha }}+{\frac {\cos \beta }{\sin \beta }}\right)}$
${\displaystyle \ell =d\ {\frac {\sin(\alpha +\beta )}{\sin \alpha \sin \beta }}}$

${\displaystyle d=\ell \ {\frac {\sin \alpha \sin \beta }{\sin(\alpha +\beta )}}}$

## 參考文獻

1. ^ 第歐根尼·拉爾修, Life of Thales, The Lives and Opinions of Eminent Philosophers, [2008-02-22], （原始内容存档于2008-02-09） I, 27
2. ^ 普罗克鲁斯, In Euclidem
3. ^ 李約瑟（1986）. Science and Civilization in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth. Taipei: Caves Books Ltd. pp. 539–540
4. ^
5. ^ Kurt Vogel（1983; 1997）, A Surveying Problem Travels from China to Paris页面存档备份，存于互联网档案馆）, in Yvonne Dold-Samplonius（ed.）, From China to Paris, Proceedings of a conference held July, 1997, Mathematisches Forschungsinstitut, Oberwolfach, Germany. ISBN 3-515-08223-9.
6. ^ （1984）, A History of Engineering in Classical and Medieval Times, London: Croom Helm & La Salle, Illinois: Open Court. ISBN 0-87548-422-0. pp. 119–122
7. ^ 約翰·J·奧康納; , Abu Arrayhan Muhammad ibn Ahmad al-Biruni, MacTutor数学史档案 （英语）
8. ^ Michael Jones (2004), "Tycho Brahe, Cartography and Landscape in 16th Century Scandinavia页面存档备份，存于互联网档案馆）", in Hannes Palang (ed), European Rural Landscapes: Persistence and Change in a Globalising Environment, p.210
9. ^ Martin and Jean Norgate (2003), Saxton's Hampshire: Surveying页面存档备份，存于互联网档案馆）, University of Portsmouth
10. ^ Pickover, Clifford, Archimedes to Hawking: Laws of Science and the Great Minds Behind Them, USA: Oxford University Press, 2008

## 延伸閱讀

• Bagrow, L.（1964）History of Cartography; revised and enlarged by R.A. Skelton. Harvard University Press.
• Crone, G.R.（1978 [1953]）Maps and their Makers: An Introduction to the History of Cartography（5th ed）。
• Tooley, R.V. & Bricker, C.（1969）A History of Cartography: 2500 Years of Maps and Mapmakers
• Keay, J.（2000）The Great Arc: The Dramatic Tale of How India Was Mapped and Everest Was Named. London: Harper Collins. ISBN 0-00-257062-9.
• Murdin, P.（2009）Full Meridian of Glory: Perilous Adventures in the Competition to Measure the Earth. Springer. ISBN 978-0-387-75533-5.