## The Messenger of Mathematics, Volume 48 |

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### Contents

Laws of facility of error By A R FORSYTI1 | 131 |

On Napiers circular parts By W WOOLSEY JOHNSON | 145 |

Theorems in the expansion of polynomials obtained by an application of | 153 |

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angle bounded variation Cassinoid charge circular co-ordinates coaxial minor coefﬁcients common factor complementary triangle condition is satisﬁed consider constant convergent coprime core cosn cross-ratios curve deﬁned deﬁnition denote determinant discontinuities divisible electric electric charges electron example expansion ﬁgure ﬁnd ﬁnite ﬁrst ﬁve ﬁxed follows formulae function G. H. HARDY given gives Hence inclined sides inﬁnite integers intervals law of error linear relations lines locus magneton method multiple n-sphere Napier Napier’s Rules negative obtained pair of hexagons parallel sides parallelogram pole polynomial powers proof quadrilaterals quantity rate of radiation reduced regular polygon result Riemann integrals second hexagon shew Similarly singular foci solution solved sphere Stieltjes substituting sufﬁcient suppose symmetric function tangents tetrahedron theorem Torporley v.go v.so values variation vector vertices write XLVIII zero