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Lines of breathless length

Brief reflections on definitions of LINE . . .
** Breathless length** by JoAnne Growney

A LINE, said Euclid,* lies evenly*

with the points on itself --

that is, it’s *straight* –-

and Euclid did (as do my friends)

named points as its two ends.

The LINE of modern geometry
escapes these limits
and stretches to infinity.
Just as unbounded lines
of poetry.
My title misquotes Euclid’s definition “A line is breadthless length.” In modern mathematics *Euclid's ***line** now is termed a *segment* and the *line *is infinite in length -- and typically defined by an equation. For example, see WolframMathWorld.
Visit the posting for September 12, 2012 in which Martha Collins plays with multiple meanings in her poem "Lines." Another poem to enjoy is this fun and longish piece that travels to the 4th dimension -- "Notes for Further Research" by Molly Kirschner -- found in a Facebook posting to which I was directed by my Bloomsburg friend, Laurie McCants.
Can we connect other linear ideas? What would it mean for poems to be parallel or perpendicular?

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