The Structure and Life-history of the Cockroach (Periplaneta orientalis) / An Introduction to the Study of Insects

by L. C. Miall; Alfred Denny

[92] Contractile force varies as sectional area of muscle. Let W be weight of Horse; w, weight of Bee; R, a linear dimension of Horse; r, a linear dimension of Bee. Then,

Contr. force of Hors eContr. force of Bee =  sect. area of muscles (Horse )sect. area of muscles (Bee) =   R²r² .

But since Ww =  R³r³ ,  R²r² =  Ww × rR .

Therefore Contr. force of Horse Contr. force of Bee =  WrwR

But, by definition,

Rel. m.f. of HorseRel. m.f. of Bee =  Contr. f. of HorseWContr. f. of Beew =  Contr. f. of HorseContr. f. of Bee ×  wW =

WrwR ×  wW =  rR =

r³R³