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‘A Brief History of the Method of Fixing by Horizontal Angles’

Published online by Cambridge University Press:  18 January 2010

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Readers of Captain Cotter's very interesting article ‘A Brief History of the Method of Fixing by Horizontal Angles’, may be interested to know that the possible use of the resection or three-point problem was appreciated by English mathematical practitioners of the seventeenth century.

Explanations have been given by John Collins, F.R.S. (1625–83), and Edmond Halley, F.R.S., Master and Commander, later Captain, Royal Navy and Astronomer Royal. It seems probable that Halley actually made some use of the principle when he charted the English Channel.

Dr. Angus Armitage and Dr. A. H. W. Robinson have explained Halley's method.

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Forum
Copyright
Copyright © The Royal Institute of Navigation 1973

References

REFERENCES

Collins, J. (1674). A Chronographical Problem proposed by Mr. Richard Townely and solved by John Collins. Philosophical Transactions of the Royal Society, London.Google Scholar
Halley, E. (1702). Letter to Sir Robert Southwell reproduced in McPike, E. F. (1937), Correspondence and Papers of Edmond Halley, London.Google Scholar
Robinson, A. H. W. (1962). Marine Cartography in Britain, Leicester.Google Scholar
Armitage, A. (1966). Edmond Halley, London.Google Scholar
1Cotter, C. H.A Brief History of the Method of Fixing by Horizontal Angles. This Journal, 25, 528.Google Scholar
2Reed's Nautical Almanac and Tide Tables for 1973, 250.Google Scholar
3Admiralty Manual of Navigation, Vol. III, 172.Google Scholar
1Cotter, C. H. (1972). A brief history of the method of fixing by horizontal angles. This Journal, 25, 528.Google Scholar
2Albrecht, M. F. and Vierow, C. F. (1854). Lehrbuch der Navigation und ihrer Mathematischen Hülfs-wissenschaften für die Konigl. Preussischen Navigations-schulen, Berlin; 2nd edition 1857; 3rd edition 1866; 4th edition 1873; 7th edition 1892.Google Scholar
3Meldau, H. and Steppes, O. (1931). Lehrbuch der Navigation, Bremen.Google Scholar
4Gallo, V. (1851). Trattato di Navigatione. Trieste.Google Scholar
5Terry y Rivas, A. (1897). Manual del Navegante. Madrid.Google Scholar
6Dubois, E. (1869). Cours de Navigation et d'Hydrographie. Paris.Google Scholar
7Constan, P. (1903). Cours Élémentaires d' Astronomie et de Navigation. Paris.Google Scholar
8Imperato, F. (1908). Trattato Elementare di Navigazione Stimata. Milan.Google Scholar
9Collins, J. (1674). A Chronographical Problem proposed by Mr. Richard Towneley and solved by John Collins. Phil. Trans. Royal. Soc. London.Google Scholar
10Taylor, E. G. R. (1954). The Mathematical Practitioners of Tudor and Stuart England. Cambridge.Google Scholar
11 Anon. (1674). Three Chorographical Problems solved by a Member of the Philosophical Society at Oxford. Phil. Trans. Royal Soc. London.Google Scholar
12Halley, E. (1702). Letter to Sir Robert Southwell, Royal Society Collection of ‘Newtoniana’. Reproduced in MacPike, E. E. (1932). Correspondence and Papers of Edmond Halley. Oxford.Google Scholar
13Pepys, S. (c. 1696). Naval Minutes. Reproduced in Tanner, J. R. (1926). Samuel Pepys's Naval Minutes, Navy Records Society, Vol. LX, London.Google Scholar