Intelligence and Miscellaneous Articles. 239 



Sir J. Herschel notices also the fact of bright stars in the zenith 

 being visible in the day-time, even by the naked eye, from the bot- 

 toms of deep narrow pits, or through the shafts of chimneys. May 

 not this be owing to the divergent rays of the atmosphere spreading 

 and losing themselves against the non-reflecting sides of the pit or 

 shaft, so that few or none of them ever reach the bottom; while, on 

 the contrary, all the rays from the star which enter the vertical pit 

 proceed to its bottom without the least sensible divergence? 



Redruth, July 13, 1833. Rd. Edmonds Juu. 



leybourn's mathematical repository. 



The twenty-fourth Number of this valuableWork is just published, 

 and contains the following articles : — 



1. Nugce, or Constructions to represent approximately the length 

 of the circumference of a Mile. 



2. Solutions of the twenty Mathematical Questions proposed in 

 No. 22 ; by various Contributors. 



3. New Solution to Question 531 (relating to the A^rjXov of 

 Archimedes), and some collateral properties of the figure; bv T. S. 

 Davies, Esq. F.R.S. Lond. & Ed. 



4. Memoir of the late Sir John Leslie, K.H. 



5. Notices relating to the Mathematical Parts of |he Philosophi- 

 cal Transactions, the Transactions of the Royal Society of Edin- 

 burgh, Transactions of the Cambridge Philosophical Society, and 

 the Journal de iE'cole Poly technique. 



6. On indeterminate Problems j by James Cunliffe, Esq. 



7. Supplement to the Lunar Theory ; by the Rev. Brice Bron- 

 win. 



8. On the Computation of Surfaces and Solids bounded by lines 

 and planes passing through points, by means of the coordinates of 

 those points ; by Mr. Woolhouse. , 



9. New Researches in Spherical Trigonometry ; by T. S. Davies, 

 Esq. 



10. On the Deviation of two Curves, in answer to a note of 

 Mr. Woolhouse, inserted in the last Number ; by T. S. Davies, Esq. 



11. On a partial Differential Equation 3 by W. Sutcliffe, Esq. 

 A.M., Bath. 



12. On the Figure of a homogeneous Mass of Fluid revolving 

 about an axis with a given uniform Velocity; by the Rev. Brice 

 Bronwin. 



13. Translation of Dr. Matthew Stewart's Extension of Prop. 4-. 

 Lib. iv. of the Mathematical Collections of Pappus (concluded). 



14. Certain Properties of Plane Triangles not generally known ; 

 by C. F. A. Jacobi. 



15. Twenty new Mathematical Questions for solution in No. 26; 

 by various Contributors. 



