A MOTOR PROBLEM
This motor problem will be new and amusing to many readers:—
Let m be the driver of a motor-car, working with velocity v. If a sufficiently high value is given to v, it will ultimately reach pc. In most cases v will then = o. For low values of v, pc may be neglected; but if v be large it will generally be necessary to square pc, after which v will again assume a positive value.
By a well-known elementary theorem, pc + lsd = (pc)2, but the squaring may sometimes be effected by substituting x3 (or × × ×) for lsd. This is preferable, if lsd is small with regard to m. If lsd be made sufficiently large, pc will vanish.
Now if jp be substituted for pc (which may happen if the difference between m and pc be large) the solution of the problem is more difficult. No value of lsd can be found to effect the squaring of jp, for, as is well-known, (jp)2 is an impossible quantity.
No. XLIII.—CHESS CAMEO
By J. G. Campbell
BLACK
WHITE
White to play, and mate in three moves.