A case arose about this time—the middle of the eighteenth century—which, as it illustrated some points in practice and an important principle in the law of Insurance, I will briefly review. It is the case of Cleeve v. Gascoigne. In June 1749, the defendant (Gascoigne) had applied to an Office-keeper, or Broker, to insure £1,600 for one year at 5 per-cent on the life of one Poulton, from whom the defendant had agreed to purchase an estate, whereof Poulton had the reversion in fee, and also an intervening interest for his own life.

Though between the graphic method on the one hand, and Mr. Higham's on the other, the formula used by Mr. Woolhouse in graduating the Institute Tables seems to have lost something of its pre-eminence, it may be convenient to have on record a general expression for it, correct to third differences, derived as on pages 341 and 350 of the twenty-third volume of the Journal.