Response to Poems About Euclid

In "Euclid Alone Has Looked on Beauty Bare" by Edna St. Vincent Millay, it is clear from the title that this poem talks about something that was witnessed or discovered by Euclid and no one else, which is very likely his work on geometry. Here "Beauty" is used to personify mathematics, and "bare" is used to describe the mysterious "true math". Everyone has encountered math in their life, but most people only "prate Beauty" and "cease". Euclid was the only one at that time who had real insight in geometry, and demonstrated his understanding to the general population through the book "The Elements". Although ordinary folks did not "see the bare Beauty", they can now at least "hear her massive sandal set on stone".

In "The Euclidean Domain", the author seems to be replying to the first poem. 

Euclid alone has looked on Beauty bare?
Has no one else of her seen hide or hair?
Nor heard her massive sandal set on stone?
Nor spoken with her on the telephone?

These lines questioned the statement made in the first poem that Euclid was the only one who had seen Beauty bare. I find it funny that "spoken with her on the telephone" was also included here. It is absolutely impossible to "speak to" Beauty bare in early ages. But the inclusion of this line broadened reader's perception of Beauty bare. 

This poem asked Beauty bare to "put away your sandal", which is also a reference to the first poem, telling the first author to give up this biased analogy.