IV 
CONTENTS. 
PAGE 
VII. Experiments on the Respiratory Mechanism of the Shore-Crab 
(■ Carcinus mamas). By Robert K. S. Lim. (From the 
Laboratory of Physiology, Edinburgh University.) Com- 
municated by Sir E. A. Schafer, . . . .48 
{Issued separately April 16 , 1918 .) 
VIII. A Determinantal Equation whose Roots are the Products of the 
Roots of Given Equations. By Professor William H. 
Metzler, 57 
{Issued separately April 16 , 1918 .) 
IX. A Reduction-formula for the Functions of the Second Kind 
connected with the Polynomials of Applied Mathematics. 
By Pierre Humbert. Communicated by Professor E. T. 
Whittaker, F.R.S., . . . . . .61 
{Issued separately May 29 , 1918 .) 
X. Note on the Strathmore Meteorite of 1917 Dec. 3. By Professor 
R. A. Sampson, . . . . .70 
{Issued separately May 29 , 1918 .) 
XI. Studies in Clocks and Time-keeping : No. 1. Theory of the Main- 
tenance of Motion. By Professor R. A. Sampson, F.R.S., . 75 
{Issued separately , 191 £.) 
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