Download e-book for iPad: Theorie des nombres irrationnels, des limites et de la by René Baire

By René Baire

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Extra resources for Theorie des nombres irrationnels, des limites et de la continuite

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1. Sdkhe vi�flO vitard'tfl vi kramasva : « fais tes trois pas » (Bergaigne). Pro­ prement, (' fais distributivement un (ou des) pas plus outre ». 2. Exactement : (, Ciel, donne espace, pour la foudre, pour étayer. ,) Étayer quoi ? L'élan que doit prendre le lanceur de foudre ? Mais, dans le �gVeda, vi-ska (m)bh- signifie presque toujours étayer les deux mondes, ou une des parties du monde. C'est donc sans doute ici un datif d'intention : la victoire d'Indra sur Vrtra étayera le monde, le ciel lui-même, auquel il s'adresse.

2. Une troisième interprétation a été inspirée par des faits hittites : aug-u-r etfulg-u-r seraient l'élargissement en r d'un thème en u, le r serait seul ancien dans toute la flexion et le s de augustus serait secondaire. Cette explication est moins plausible : on ne signale dans aueune langue indo-européenne un élargissement en u de la racine ·aug-. 3. Les rares exceptions sont des cas spéciaux ou douteux : à côté d'avest. zafâ), et l'on sait que les substantifs changent parfois de flexion en cette position ; avest.

LOn guernere qUl SUlvra. erale q�e suggere �ette marche en trois étapes, cette sorte d mcantatlOn progressiVe de tout le terra in. • . �ais c'est une légende irlandaise qui, dans le même sens presente le �orrespondant le plus . exact du rituel fétial de' rerum repetxttO. ïs conçoivent l'his toire de leur île comme une s�cc�sslOn de cmq nvasion , les nouveaux venus éliminant � � ou asslmdant chaque fOlS ce qUl resta it de leurs prédeces . ' seurs. , . deux derm. ants actuels de l'île 2. Or l'arrivée(ou Mile), Meic Mt1ed' se fait dans des conditions singulières.

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Theorie des nombres irrationnels, des limites et de la continuite by René Baire


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