In like manner PL - AL has the same value, so that PL - PL' = 2AP sin a.
Graphic representation thus rests on the principle that equal numerical quantities may be represented by equal lengths, and that a quantity mA may be represented by a length mL, where A and L are the respective units; and the science of graphics rests on the converse property that the quantity represented by pL is pA, i.e.
Pl is the weight of the brass weights (10 lb) Δ=8.143.
The motto was ` s Imperium et libertas "; the seal, three primroses; and the badge, a monogram containing the letters PL, surrounded by primroses.