Transactions of the Cambridge Philosophical Society, Volume 20

a₁ approximation associated pair asymptotic expansion axis b₁ b₂ c₁ C₂ calcite centre of gravity coefficients compound condition consider constants contour convergent corresponding d₁ d₂ double conic doubly-periodic doubly-periodic functions elements equal expression F₁ finite formula frequency frequency-locus function fundamental differential equation Gamma-function Hence independent integral equation irreducible k₁ k₂ law of error linear locus log F(2 mean powers method middle constituent monogenic function Morgan Crofton multiple obtain P₁ quadrics quantity quartic quintic quintic integral remove roots S₁ satisfied shew sin² solution substitution sun-spot suppose surface syzygies theorem transformation triple point v₁ v₂ values vanish w₁ w₂ zero λλ μμ πί