## The London, Edinburgh and Dublin Philosophical Magazine and Journal of ScienceTaylor & Francis, 1877 |

### From inside the book

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Page 136

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**Taylor's Theorem**. By J. J. SYLVESTER . CONNE ONNECTED with the study of the Theory of the sym- metrical functions of the differences of the roots of an Algebraical Equation , a theorem presents itself in Dr. Salmon's ' Lessons on ...Page 138

... theorem is demonstrated . It will of course be understood that ( . ) ' means not ( ' ) . , but Ω.Ω.Ω. ( to i factors ) . Lagrange's or any other rule for the Remainder in the old

... theorem is demonstrated . It will of course be understood that ( . ) ' means not ( ' ) . , but Ω.Ω.Ω. ( to i factors ) . Lagrange's or any other rule for the Remainder in the old

**Taylor's theorem**may be extended to this generalization ...Page 140

... theorem fi = eha . f having , as far as I am aware , been first given by Dr. Salmon in a form , if not quite complete , still sufficient for the immediate purpose to which it was to be ap- plied , ought , I think , in ...

... theorem fi = eha . f having , as far as I am aware , been first given by Dr. Salmon in a form , if not quite complete , still sufficient for the immediate purpose to which it was to be ap- plied , ought , I think , in ...

**Taylor's Theorem**.### Contents

FIFTH SERIES | 1 |

JULY 1877 | 17 |

Mr R H M Bosanquet on the Theory of Sound | 25 |

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acetic action alcohol angle apparatus appears atomic weights bodies carbon cent centims chemical chloride chromic chromic oxide classification cobalt coefficients colour composition compounds connexion constitutional formula contained cooling copper Crookes's cubic centimetre curve cylinder deflection density determined diamagnetic diameter discharge disk dissociation dissolved distance divergence effect electric electromotive force elements energy equal equation exist experiments fact ferric chloride ferric oxide galvanometer gases glass gravity heat hydrogen hypothesis increase insulated lines liquid mean mercury metal method millims molecular magnetism molecules motion negative nitrogen observed obtained oxygen paper particles Phil picoline plane plates platinum position potassium pressure produced properties pyridine quantity radicles regard resistance sal ammoniac salts solution spectrum substances sulphate supposed surface Taylor's theorem temperature terpene theorem theory tion tube unsaturated compounds valency velocity vessel volume wire