fifth degree. Find the equation to a man blacking a shoe: (1) in
rectangular co-ordinates; (2) in polar co-ordinates.

2. A had 500 shoes to black every day, but being unwell for two
days he had to hire a substitute, and paid him a third of the wages
per shoe which he himself received. Had A been ill two days longer
there would have been the devil to pay; as it was he actually paid
the sum of the geometrical series found by taking the first n
letters of the substitute's name. How much did A pay the
substitute? (Answer, 13s. 6d.)

3. Prove that the scraping-knife should never be a secant, and the
brush always a tangent to a shoe.

4. Can you distinguish between meum and tuum? Prove that their
values vary inversely as the propinquity of the owners.

5. How often should a shoe-black ask his master for beer notes?
Interpret a negative result.



AN EMINENT PERSON



Among the eminent persons deceased during the past week we have to
notice Mr. Arthur Ward, the author of the very elegant treatise on
the penny whistle. Mr. Ward was rather above the middle height,
inclined to be stout, and had lost a considerable portion of his