696 
Proceedings of the Royal Society of Edinburgh. 
The following is the list of papers published in the Transactions and 
Proceedings of the Royal Society of Edinburgh : — 
1. Tables for Facilitating the Computation of Differential Refraction in 
Position Angle and Distance. 1886. Trans., vol. xxxiii. 
The Tables contain the values of two quantities calculated for the parallel 
55° 56' and 57° 30', and for each interval of two degrees of declination from 
40° north to 90°. 
2. On Systems of Solutions of Homogeneous and Central Equations of the 
nth. Degree and of Two or More Variables; with a Discussion of the 
Loci of such Equations. 1888. Trans., vol. xxxv. 
The underlying idea of this elaborate paper of 55 pages is to find exact 
solutions in equations between variables, so that the precise form of plane 
curves and contours of surfaces may be determined. 
3. On the Four Surfaces of an Aplanatic Objective. 1888. Proc., vol. xv. 
4. On the Solution of the Three-Term Numerical Equation of the nth 
Degree. 1890. Proc., vol. xvii. 
The solutions are obtained in an interesting manner by use of what are 
known as addition and subtraction logarithms. 
5. On the Reflexion-Caustics of Symmetrical Curves. 1890. Proc., vol. 
xvii. 
6. Equation of the Glissette of the Two-Term Oval % n \a n -\-y n \b n = 1 and 
Cognate Curves. 1891. Proc., vol. xviii. 
7. On the Eliminant of the Glissette Equations of the Ellipse Glissette. 
1892. Proc., vol. xix. 
These two papers are a following up of Professor Tait’s glissette in- 
vestigations. 
8. A New Solution of Sylvester’s Problem of the Ternary Equations. 
1893. Proc., vol. xix. 
9. Elimination of Powers of Sines and Cosines between Two Equations. 
1893. Proc., vol. xx. 
This is an extension of the process of No. 7 above. 
10. Symmetrical Solution of the Ellipse -Glissette Elimination Problem. 
1899. Proc., vol. xxii. 
In this last attack on a difficult problem of elimination the author gives 
the general eliminant as expressed in the form of a single symmetrical 
bordered determinant. 
11. Opening Address, Session 1901-2. Proc., vol. xxiv. 
Contains an estimate of the work of Professor Tait. 
