## 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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**theorem**, leading to a development of the same form , subject to a like law of convergence , and easily demonstrable by the same method as that**theorem**. Let f be any function whatever of a , b , c , ... , and f1 the same function of a1 ...Page 138

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**theorem**may be extended to this generalization of it ; that is to say , if in the development of f1 we stop at the ...**theorem**properly so called . The**theorem**above established easily admits of extension to the case of a1 , b , c ...Page 140

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**Theorem**in its totality should not be expected in the future to bear new fruit in algebraical expan- sions and other uses as important as have flowed from the one familiar and simplest case of it , known as Taylor's**Theorem**. Thus , ex ...### 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