The phrase "looked on Beauty bare" appears in the title and once in each poem. I think it means Euclid has investigated something that doesn't look beautiful at first glance, but can be when closely looked upon. "While they stare At nothing, intricately drawn nowhere In shapes" may refer to mathematics being a complex topic that no many can fully understand. Earth is mentioned in the first poem which may refer to the applications math has and its existence in nature. I think "his vision shone Of light anatomized" touches on Euclid's work and its ability to be sustained through the centuries. Euclid illuminated and brought forward many definitions, postulates, common notions, and principles that are still used in mathematics today.
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