William Galbraith (mathematician)

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William Galbraith's grave, Grange Cemetery

Rev William Galbraith (1786 – 27 October 1850) was a Scottish mathematician. He taught mathematics and nautical astronomy in Edinburgh, and took an interest in surveying work, becoming an advocate of the extension of the work of triangulating Great Britain.[1]

Early life[edit]

He was born at Greenlaw, Berwickshire.[2] Initially he was a schoolmaster. His pupil William Rutherford walked long distances to attend his school at Eccles. Subsequently, he moved to Edinburgh, and graduated A.M. at the University of Edinburgh in 1821.[3]

Surveyor[edit]

During the 1830s Galbraith became interested in the surveying problems of Scotland. In 1831 he pointed out that Arthur's Seat had a strongly magnetic peak.[4] In 1837 he pointed out the impact of anomalies in measurement, work that received recognition;[5] it was topical because of the 1836 geological map of Scotland by John MacCulloch, with which critics had found fault on topographical as well as geological grounds.[6] A paper on the locations of places on the River Clyde was recognised in 1837 by a gold medal, from the Society for the Encouragement of the Useful Arts for Scotland.[7]

Galbraith followed with detailed Remarks on the Geographical Position of some Points on the West Coast of Scotland (1838).[8] Having made some accurate surveys of his own, he lobbied for further attention from the national survey.[1]

Galbraith's pocket-box circle, an invention for portable surveying.

Later life[edit]

About 1832 Galbraith was licensed a minister by the presbytery of Dunse. He married Eleanor Gale in 1833.[3]

Galbraith was buried with his wife in the north-east section of the Grange Cemetery in Edinburgh.[9]

Works[edit]

Galbraith's major works combined textbook material with mathematical tables:

  • Mathematical and Astronomical Tables (1827):[10] review.[11]
  • Trigonometrical Surveying, Levelling, and Railway Engineering (1842)[12]

He edited John Ainslie's 1812 treatise on land surveying (1849),[13] and with William Rutherford revised John Bonnycastle's Algebra.[14]

Notes[edit]

  1. ^ a b "National Museums of Scotland - Rule (Detail)".
  2. ^ "Biographical notices of Mr. William Galbraith". Monthly Notices of the Royal Astronomical Society. 11 (4): 86. 1851. Bibcode:1851MNRAS..11...86.. doi:10.1093/mnras/11.4.67a.
  3. ^ a b Royal Astronomical Society (1851). Memoirs. Society. pp. 194–. Retrieved 6 November 2012.
  4. ^ "The topographical, statistical, and historical gazetteer of Scotland". 1848.
  5. ^ Kaiserl. Akademie der Wissenschaften in Wien (1851). Almanach der Kaiserlichen Akademie der Wissenschaften für das Jahr . Harvard University. Wien : K.K. Hof- und Staatsdruckerei.
  6. ^ Cumming, David A. "MacCulloch, John". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/17412. (Subscription or UK public library membership required.)
  7. ^ The Edinburgh Philosophical Journal. Constable. 1837. pp. 1–. Retrieved 6 November 2012.
  8. ^ The Edinburgh New Philosophical Journal. A. and C. Black. 1838. pp. 300–. Retrieved 4 May 2012.
  9. ^ "Monuments and monumental inscriptions in Scotland".
  10. ^ William Galbraith (1827). Mathematical and Astronomical Tables. Retrieved 4 May 2012.
  11. ^ Robert Jameson; Sir William Jardine; Henry Darwin Rogers (1827). The Edinburgh New Philosophical Journal: exhibiting a view of the progressive discoveries and improvements in the sciences and the arts. A. and C. Black. pp. 404–. Retrieved 4 May 2012.
  12. ^ "Trigonometrical surveying, levelling, and railway engineering". 1842.
  13. ^ "A treatise on land surveying [ed.] by W. Galbraith". 1849.
  14. ^ "Rutherford, William" . Dictionary of National Biography. London: Smith, Elder & Co. 1885–1900.

External links[edit]