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Elements of Plane Trigonometry - Softcover

 
9781537085241: Elements of Plane Trigonometry
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The succeeding chapters are devoted to an exposition of the nature of the trigonometrical ratios, and to the demonstration by geometrical constructions of the principal propositions in trigonometrical surveying: and I have concluded with a proof of the formulae for the sine and cosine of the sum of two angles treated as examples of the elementary theory of projection. Having learned thus much the student has gained a knowledge of trigonometry as originally understood, and may apply his knowledge in surveying; and he has also reached a point from which he may advance into analytical trigonometry and its use in natural philosophy.

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He succeeded Thomson's father James in the Chair of Mathematics. Hugh Blackburn was brought up at Killearn House, Stirlingshire, the seventh of eight children of the wealthy Glasgow merchant John Blackburn and his wife Rebecca Leslie Gillies, the daughter of a Church of Scotland minister, and a relative of Colin Maclaurin. His elder brother was the judge Colin Blackburn, Baron Blackburn. He was educated at Edinburgh Academy and Eton before entering Trinity College, Cambridge in 1840. There he met Thomson, who entered in the same year; he was also a member of the Cambridge Apostles. During this time he invented the Blackburn pendulum. In the Mathematical Tripos examinations of 1845 he graduated fifth wrangler, while Thomson graduated second wrangler. He entered the Inner Temple in 1847, but was never called to the Bar; his name was withdrawn in 1849, the year in which he became Professor of Mathematics at the University of Glasgow. Works: A treatise on trigonometry, London, 1855. Part of the Encyclopedia Metropolitana. A short sketch of the constitutional history of the University of Glasgow and of Glasgow College in that University : with remarks on the Universities (Scotland) Bill, 1858 (ed. with William Thomson ) Sir Isaac Newton's Principia, 1871 Elements of plane trigonometry for the use of the junior class of mathematics in the University of Glasgow, 1871

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