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plete elliptic integrals of the ﬁrst
Classes of recurring formulae involving Bernoullian numbers By J W L
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3-period angles angular velocities approximation array asymptotes bicycle coeﬁicient coetﬁcients composite numbers contains corresponding cos’B cosb cosc cosﬁ cosp cosx curve deﬁned deﬁnition denote differentials digits divisors ELLIPTIC INTEGRALS equal factors ﬁgure ﬁnd ﬁnite order ﬁrst formula ﬁrst pair ﬁxed FORMULE INVOLVING given subgroup gives GLAISHER group of degree H. J. Woodall Hence hexagon inﬁnitely integer integral INVOLVING BERNOULLIAN NUMBERS linear numbers less obtain period period-lengths perpendicular plane powers prime putting quadric quantities quotient group radix recurring formulae relations involving right-hand side root of unity scale self-conjugate subgroup Similarly simply isomorphic sin’B sinB sinp spherical trigonometry square steady motion subgroup of G subgroup of order subtract symmetric group systems of subgroups Taking tangents theorem transformations transitive substitution group uneven variables velocity veriﬁed wzyy zero