First my apologies to Pynchoner David Morris who found the
Bernoulli lemniscate before I did.
Euclid discovered the number phi
but Bernoulli discovered its relation first to the to the golden rectangle
and then to the beautiful spiral that is formed by smaller and smaller golden
rectangles built within each other -- the logarithmic spiral which
he called miraculous.
Bernoulli ended his paper on this spiral with the
words "eadem mutata resurgo semperdem [Though changed, I return over and over
again the same]." These words (minus the un-Christian semperdem) are engraved on
his tombstone in the cathedral in Berne.
If IPH = phi and Bernoulli
discovered and named the lemniscate curve, then perhaps "eadem mutata resurgo"
also has something to do with Pale Fire.