ds, dragging its veiled victim with it,
till it has reached the full daylight of known facts, in which it can
tear off the veil and say "I know you!"

Take an illustration. Your house has been broken into and robbed, and
you appeal to the policeman who was on duty that night. "Well, Mum, I
did see a chap getting out over your garden-wall: but I was a good bit
off, so I didn't chase him, like. I just cut down the short way to the
Chequers, and who should I meet but Bill Sykes, coming full split round
the corner. So I just ups and says 'My lad, you're wanted.' That's all I
says. And he says 'I'll go along quiet, Bobby,' he says, 'without the
darbies,' he says." There's your _Arithmetical_ policeman. Now try the
other method. "I seed somebody a running, but he was well gone or ever
_I_ got nigh the place. So I just took a look round in the garden. And I
noticed the foot-marks, where the chap had come right across your
flower-beds. They was good big foot-marks sure-ly. And I noticed as the
left foot went down at the heel, ever so much deeper than the other. And
I says to myself 'The chap's been a big hulking chap: and he goes lame
on his left foot.' And I rubs my hand on the wall where he got over, and
there was soot on it, and no mistake. So I says to myself 'Now where can
I light on a big man, in the chimbley-sweep line, what's lame of one
foot?' And I flashes up permiscuous: and I says 'It's Bill Sykes!' says
I." There is your _Algebraical_ policeman--a higher intellectual type,
to my thinking, than the other.

LITTLE JACK'S solution calls for a word of praise, as he has written out
what really is an algebraical proof _in words_, without representing any
of his facts as equations. If it is all his own, he will make a good
algebraist in the time to come. I beg to thank SIMPLE SUSAN for some
kind words of sympathy, to the same effect as those received from OLD
CAT.

HECLA and MARTREB are the only two who have used a method _certain_
either to produce the answer, or else to prove it impossible: so they
must share between them the highest honours.

CLASS LIST.

I.

HECLA.
MARTREB.

II.

Sec. 1 (2 _steps_).

ADELAIDE.
CLIFTON C....
E. K. C.
GUY.
L'INCONNU.
LITTLE JACK.
NIL DESPERANDUM.
SIMPLE SUSAN.
YELLOW-HAMMER.
WOOLLY ONE.

Sec. 2 (3 _steps_).

A. A.
A CHRISTMAS CAROL.
AFTERNOON TEA.
AN APPRECIATIVE SCHOOLMA'AM.
BABY.
BALBUS.
BOG-OAK.