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Eadem mutata resurgo (Word-for-word translation: Same having-changed I-rise) is a Latin phrase that literally translates to "Although changed, I arise the same" or "I rise again changed but the same". The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family, and appears on his tombstone in Basel. Bernoulli was referring to the fact that the logarithmic spirals are self-similar, meaning that upon applying any similarity transformation to the spiral, the resulting spiral is congruent to the original untransformed one. The logarithmic spiral continually appears in nature, such as with the curves of the Nautilus shell.

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  • Eadem mutata resurgo (en)
  • Eadem mutata resurgo (it)
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  • La locuzione latina Eadem Mutata Resurgo, tradotta letteralmente, significa “Uguale o Diversa, Risorgo”. Questa frase è stata coniata da Jakob Bernoulli (1654-1705), membro di una famosa famiglia di matematici svizzeri, che la volle incisa anche sulla sua tomba a Basilea, in relazione ai suoi studi sulla spirale logaritmica; per suo volere, questa avrebbe dovuto essere accompagnata da una spirale dello stesso tipo, ma lo scultore ne scalpellò una archimedea. Tale curva è presente in molte manifestazioni della natura: esempi sono la conchiglia di Nautilus, la disposizione dei semi di girasole. (it)
  • Eadem mutata resurgo (Word-for-word translation: Same having-changed I-rise) is a Latin phrase that literally translates to "Although changed, I arise the same" or "I rise again changed but the same". The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family, and appears on his tombstone in Basel. Bernoulli was referring to the fact that the logarithmic spirals are self-similar, meaning that upon applying any similarity transformation to the spiral, the resulting spiral is congruent to the original untransformed one. The logarithmic spiral continually appears in nature, such as with the curves of the Nautilus shell. (en)
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  • Eadem mutata resurgo (Word-for-word translation: Same having-changed I-rise) is a Latin phrase that literally translates to "Although changed, I arise the same" or "I rise again changed but the same". The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family, and appears on his tombstone in Basel. Bernoulli was referring to the fact that the logarithmic spirals are self-similar, meaning that upon applying any similarity transformation to the spiral, the resulting spiral is congruent to the original untransformed one. The logarithmic spiral continually appears in nature, such as with the curves of the Nautilus shell. The College of St Hild and St Bede at the University of Durham adopted this phrase for its signatory logo, it hangs in the Vernon Arms (the Vern). It is also the motto of the Collège de 'pataphysique. (en)
  • La locuzione latina Eadem Mutata Resurgo, tradotta letteralmente, significa “Uguale o Diversa, Risorgo”. Questa frase è stata coniata da Jakob Bernoulli (1654-1705), membro di una famosa famiglia di matematici svizzeri, che la volle incisa anche sulla sua tomba a Basilea, in relazione ai suoi studi sulla spirale logaritmica; per suo volere, questa avrebbe dovuto essere accompagnata da una spirale dello stesso tipo, ma lo scultore ne scalpellò una archimedea. Tale curva è presente in molte manifestazioni della natura: esempi sono la conchiglia di Nautilus, la disposizione dei semi di girasole. (it)
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