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Contents

   



(Top)
 


1 Background  



1.1  Jakob Bernoulli's tombstone  





1.2  College motto  







2 References  














Eadem mutata resurgo






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From Wikipedia, the free encyclopedia
 


Eadem mutata resurgo is a Latin phrase that literally translates to "Although changed, I arise the same".

Background

[edit]

The word-for-word translation of the phrase is

"Same having-changed I-rise".
Eadem mutata resurgo.

The sense is better rendered in English as "I rise again changed but the same".

Jakob Bernoulli's tombstone

[edit]
A "seahorse tail" section from the Mandelbrot set that follows a logarithmic spiral's shape.

The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family. He had studied logarithmic spirals during his life and directed for a spiral and the motto to appear 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.[1]

The logarithmic spiral frequently appears in biology, such as with the curves of the Nautilus shell.[1]

College motto

[edit]

The College of St Hild and St Bede at the University of Durham adopted this phrase for its motto; it hangs in the Vernon Arms (the Vern). [2]

It is also used as the motto of the Collège de 'pataphysique.[3]

References

[edit]
  1. ^ a b Maor, E. (2009). E: The story of a number. Princeton University Press. p. 127. ISBN 0-691-14134-7.
  • ^ The College of St. Hild and St. Bede (PDF) (college description). 2008–2009 University Calendar. Vol. I. Durham, UK: Durham University. 21 October 2008.
  • ^ "Collège de 'pataphysique collection". mtholyoke.edu. Archived from the original on 2014-01-21. Retrieved 2013-07-31.

  • Retrieved from "https://en.wikipedia.org/w/index.php?title=Eadem_mutata_resurgo&oldid=1209046646"

    Category: 
    Latin words and phrases
     



    This page was last edited on 20 February 2024, at 01:53 (UTC).

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