CONTENT S. 



Opening Address by the Rev. W. B. Clarke, M.A., F.G.S., Vice- 

 President 



Aet. I. — On the Operation of the Eeal Property Act, by G. K. 

 Holden, Esq., Senior Examiner of Titles in New 

 South Wales .. .. 23 



„ II. — Analytical Solution of Sir W. Hamilton's Problem on the 

 Inscription of closed N'gons in any qixadric, by 

 Martin Gardiner, Esq., C.E 38 



„ III. — New Theorem in the Geometry of Three Dimensions, by 



Martin Gardiner, Esq., C.E 41 



„ IY. — Exposition of the American Method of Levelling for 

 Sections. The superiority to the English and 

 French methods as regards actual field practice and 

 subsequent plotting of the Section, by Martin Gar- 

 diner, Esq., C.E. , ..43 



*' V. — On the Electric Telegraph between England and India, 

 and how to connect the Australian Colonies with 

 the Telegraphic Systems of Europe and America, 

 by E. C. Cracknell, Esq., Superintendent of Tele- 

 graphs for New South Wales . . . . . . 45 



" VI. — Notes on the Geology of the country around Goulburn, by 



A. M. Thomson, Esq., Sc. D 57 



" VII. — On the Origin and Migrations of the Polynesian Nation, 

 demonstrating their discovery and progressive settle- 

 ment of the Continent of America, by Eev. Dr. 

 Lang, M,P. . . . . . . . . . . . . 73 



" VIII. — Improved Solutions of Problems in Trigonometrical 



Surveying, by Martin Gardiner, Esq., C.E . . . . 129 



" IX. — On the Water Supply of Sydney from George's Eiver and 



Cook's River, by Charles Mayes, Esq. . . . . 134 



" X. — On the Results of the Chemical Examination of Waters for 

 the Sydney Water Commission, by Professor 

 Smith, M.D .. .. .. 146 



" XI. — On the Refining of Gold by means of Chlorine Gas, by F. 



B. Miller, Esq. .. .. .. .. ' .. „. 157 



„ XII. — On a new Apparatus for Reducing Chloride of Silver, by 



A. Leibius, Esq., Phil. Doc . . 168 



,, XIII. — Remarks on Tables for calculating the Humidity of the 



Air, by H. C. Russell, Esq., B.A 171 



