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Contents. 
PAGE 
On a Simple Way of Obtaining the Half-Shade Field in Polari- 
meters. By James Robert Milne, B.Sc., Carnegie Besearch 
Fellow. Issued separately January 14, 1907, . . . 522 
On an Exception to a Certain Theorem in Optics, with an 
Application to the Polarimeter. By James Kobert Milne, B.Sc., 
Carnegie Kesearch Fellow. Issued separately January 14, 1907, 527 
The Hessians of Certain Invariants of Binary Quantics. By 
Thomas Muir, LL.D. Issued separately January 16, 1907, . 529 
The Sum of the r-line Minors of the Square of a Determinant. 
By Thomas Muir, LL.D. Issued separately January 16, 1907. 533 
Obituary Notices, ..... 540 
Meetings of the Royal Society — Session 1905-1906, .552 
Abstract of Accounts for Session 1905-1906, 561 
Index, . . ■ . . . 572 
