Several Coat of Arms exist for the Rule Family.
Here are several examples:




Sources:
Fairbairn's "Book of Crests " of families of Great Britain and Ireland published by I.C. & E. C. Jack Grange Publishing Works, Edinburgh, Scotland.
RULE, an arm in armour embowed holding in the hand
a sword all proper. Plate 195.2
Burke's " General Armory of England, Scotland and Ireland and Wales ". Published by Harrison & Sons of London in 1884, Page # 878
RULE (Edmundsfield, Scotland, 16th century) Gu, on a bend engr. or, three inescutcheons Az.