CONTEXTS. Vll 



NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Mathematics. 



Page 



Address by the Rev. Professor Price, President of the Section 1 



Dr. Brennecke on some Solutions of the Problem of Tactions of Apollonius 



of Perga by means of modern Geometry 4 



Rev. James Booth on a New General Method for establishing the Theory of 



Conic Sections * 



. on the Relations between Hyperconic Sections and Elliptic 



Integrals 4 



Mr. A. Cayley on Curves of the Fourth Order having Three Double Points... 4 



Mr. Patrick Cody on the Trisection of an Angle 4 



Rev. T. P. Kirkman on the Roots of Substitutions 4 



Rev. T. Rennison on a new Proof of Pascal's Theorem 6 



Professor H. J. Stephen Smith on Systems of Indeterminate Linear Equations 6 

 Professor Sylvester on a Generalization of Poncelet's Theorems for the Linear 



Representation of Quadratic Radicals ' 



Light, Heat. 



Sir David Brewster on the Influence of very small Apertures on Telescopic 

 Vision ' 



. on some Optical Illusions connected with the Inversion 



of Perspective ' 



on Microscopic Vision, and a New Form of Microscope 8 



on the decomposed Glass found at Nineveh and other 



places 9 



Dr. J. H. Gladstone on his own Perception of Colours 12 



on the Chromatic Properties of the Electric Light of 



Mercury ^ 



Professor Jellett on a New Instrument for determining the Plane of Polariza- 

 tion 13 



Professor L. L. Lindelof on the Caustics produced by Reflexion 14 



Professor Maxwell on the Results of Bernoulli's Theory of Gases as applied 

 to their Internal Friction, their Diffusion, and their Conductivity for Heat... 15 



on an Instrument for Exhibiting any Mixture of the Co- 

 lours of the Spectrum 1" 



