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    of Euclid , Simpson and Saunderson ' s Algebra , Simpson's Plane and Spherical Trigonometry , Hamilton and Appolonius ' Conies , ( these two ¦ works he appears to have collated and compared with great care , by the manuscript notes in the margins —of-the"eopies-whiG ^ li-he ^ ead , ) - ^ Row . es and Simpson ' s Fluxions , and Emerson's Mechanics , Newton ' s

    Principia , it appears , by a memorandum in his own haiid-writing , he commenced March 25 , and finished Oct . 2 , 1776 ; and read a second time in the course of the year 1782 . In the year 1779 he published the first edition of his work on the Doctrine of Annuities and Reversionary Payments , containing rules for solving all questions concerning the value of annuities and reversions

    depending on any one , two , or three lives , or on any survivorships among them , most of which had never before been answered .- These solutions were all derived from th ' e hypothe"Sis of Demorvre . In 1781 he published an Examination of Dr . Crawford ' s Theory of Heat and Combustion . ( The first edition . )

    In 1788 he communicated , through Dr . Price , his first paper to the Royal Society , namely , On the Probabilities of Survivorships between two Persons of any given Age , and the Method of determining the Value of Keversions depending' OO'thpse

    Survivorships . ( From Tables of the real probabilities of life , —this had never been done before . ) For this paper the President and Council adjudged to him the gold medal on Sir Godfrey Copley ' s donation , and he was shortly afterwards elected a fellow of that learned society .

    In 1783 , a Paper on the Method of dettfmtirring from the Real Probabilities of Life the Value of a contingent Reversion in which three Lives are involved in the Survivorship . In 1791 , another paper on the sattie subject .

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    254 ¦ . ¦ iii ^ ttiSfekfe fil aWd ; , ' '' ¦ ¦

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    In Vf 94 r & further investigation of ¦ the same . These papers comprised the solution of seventeen different problems ; and in 1799 he communicated the solution of seven more problems in which three lives are involved , in all ™ of ~ whieh ^ wxx-e _ a ^ tingency never before accurately

    determined , namely , that of one life failing after another in a given time . These problems may be said to have exhausted the subject so far as it relates to contingencies on three lives . iThe whole of these papers he afterwards revised arid republisJied in the second edition of his work on the Doctrine of Annuities , 1821 .

    In —•— - he also communicated to the Jtloyal Society a paper on the Non-conducting Power of a Vacuum Pamphlets . ... ' . In 1792 , A Review of Dr . Price's Writings * oil the subject of the Finances , &c .

    - In 1 ^ 96 , Facts addressed-- !*) -, the Serious" Attention of the People of Great Britain . 1796 , Additional Facts . 1797 , An Appeal to the People of Great Britain on the alarming State of the Public Finances . 1803 , A . Comparative View of the Public Finances , from the beginning' to the close of the late

    Administration , , In Rees's Cyclopedia he wrote on Jjife Annuities ^ Chance , Funclsy and Interest . The scientific attainments and mathematical genius of Mr . Morgan , his unwearied application arid rapid progress in the pursuit of knowledge , to which he was excited rather bf the

    love o Lself-improxement .. t ^ UaiJLjthe desire bf distinction , nnd tlie valuable additions which he made to an important and intricate branch of science , constitute a sufficient claim to notice , and must render this sketch of his life and writings highly interesting to many of out readers . Mr * Morgan ' s services in connexion

• Citation
  • Monthly Repository (1806-1838) and Unitarian Chronicle (1832-1833), Aug. 1, 1833, page 254, in the Nineteenth-Century Serials Edition (2008; 2018) ncse-os.kdl.kcl.ac.uk/periodicals/mruc/issues/vm2-ncseproduct2619/page/30/