BIBLIOGRAPHY 353 



38. On the Value of the Edinburgh Degree of M.A. An Address delivered to the Graduates 

 in Arts, April 24, 1866. Published by Maclachlan and Stewart, Edinburgh. 



39. Sir William Rowan Hamilton. 1866. Biographical article in North British Review. 

 Chief source of article in Encyclopaedia Britannica, 1880. S.P., cxxvin. 



40. Note on formulae representing the fecundity and fertility of women. 1867. Trans. 

 R.S.E., xxiv. Fecundity is found to depend linearly and fertility parabolically on age. 

 Reprinted with additions in Duncan's Fecundity and Fertility (Black, 1871). The 

 formulae are known to Statisticians as Tail's Laws. 



41. Note on determinants of the third order. 1866. R.S.E., vi. Various quaternion 

 transformations leading to theorems in determinants. 



42. Translation of Helmholtz's paper on "Vortex Motion." Phil. Mag., 1867. 



43. Note on the reality of the roots of the symbolical cubic which expresses the properties 

 of a self-conjugate linear and vector function. 1867. R.S.E., vi. S.P., x. 



44. Note on a celebrated geometrical problem proposed by Fermat. 1867. R.S.E., vi. S.P., xi. 



45. Note on the radiant spectrum. 1867. R.S.E., vi. 



46. Note on the hodograph. 1867. R.S.E., vi. S.P., xn. 



47. Note on an inequality. 1868. R.S.E., vi. The conditions for the coalescence of two 

 soap bubbles lead to a mathematical inequality. 



48. Mode of demonstrating equality of radiation and absorption. 1868. R.S.E., vi. Ink 

 letters on platinum strip. 



49. Physical proof that the geometrical mean of any number of quantities is less than the 

 arithmetic mean. 1868. R.S.E., vi. S.P., xm. 



50. On the Dissipation of Energy. 1868. R.S.E., vi. S.P., xiv. 



51. Notice of Sir David Brewster. The Scotsman, n Feb. 1868. 



52. On the rotation of a rigid body about a fixed point. 1868. Abstract in Proc. R.S.E., 

 vi. Full Paper in Trans. R.S.E., xxv. S.P., xv. 



53. On the motion of a pendulum affected by the rotation of the Earth and other disturbing 

 causes. 1869. JR.S.E., vi. Tail's Quaternions, 427-430. 



54. On the heating of a disk by rapid rotalion in vacua. In conjunclion with Balfour Stewart. 

 Reply to O. E. Meyer. 1869. Phil. Mag., xxxvn. Ann. d. Phys. u. Ch., 136, pp. 165-6. 



55. Notice of Principal J. D. Forbes. The Scotsman, n Jan. 1869. 



56. On comets. 1869. R.S.E., vi. British Assoc. Reports, xxxix. The sea bird Analogy. 



57. Note on electrolytic polarisation. 1869. R.S.E., vi. S.P., xvi. Phil. Mag., xxxvni. 



58. Provisional Report of a Commitlee consisting of Professor Tail, Professor Tyndall, and 

 Dr Balfour Stewart, appointed for the purpose of repeating Principal J. D. Forbes's Ex- 

 perimenls on Ihe Thermal Conductivity of Iron and of extending them to other Metals. 

 Brit. Ass. Rep., xxxix. 



59. The Progress of Natural Philosophy. Nature, 1869. 



60. On the Steady Motion of an incompressible perfect fluid in Iwo dimensions. 1870. 

 R.S.E., vn. S.P., xvii. In a letter to Cayley (6 Oct. 1877) Tail refers lo Ihis paper 

 as conlaining a "very curious hydrokinetic theorem which I remember greatly surprized 

 not only Rankine and Stokes bul even Thomson." 



61. On the most general motion of an incompressible perfect fluid. 1870. R.S.E., vn. 

 S.P., xvin. 



62. Mathematical Notes. 1870. R.S.E., vn. Every cube is difference of two squares, etc. 



63. On Green's and other allied Theorems. 1870. Trans. R.S.E., xxvi. S.P., xix. 

 Abstract in Proc. R.S.E., vn. 



T. 



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