Periphrasis (per-if'-ra-sis)
Periphrasis is just like a metaphor (You are saying X is Y), but you use a proper noun instead of a common noun. (And remember that a "proper noun" refers to a specific or unique person, place, or thing. A proper noun is always capitalized.)
Put yet another way, use a proper name of a person, place, or thing as a shorthand to stand for qualities associated with the person, place, or thing you're trying to describe. For example, "My brother is a whale" is a metaphor. "My brother is an orca" is a metaphor. "My brother is Free Willey" is periphrasis. Consider a couple more: "My sister is a railroad spike" is a metaphor. "My sister is the Golden Spike" is periphrasis. Or, "This class is like a prison" is a simile. "This class is a prison" is a metaphor. "This class is Alcatraz" is periphrasis.
Consider a few more examples of periphrasis:
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"She's no Halle Berry to look at, but she's no Porky the Pig either."
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"Hey, Judas. Thanks for keeping your promise."
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"Dick Cheney has become less like Agent 007 and more like Dr. Strangelove."
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"Mr. Abercombie and Fitch doesn't want to come with us."
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In each example a noun works figuratively or metaphorically. "She is no Halle Berry" is an economical and visually interesting way to say, "She is not beautiful, inviting, thin, and healthy." Saying "Judas" is a clever way to say, "Hey, you coward-who-betrays-his-friends-for-small-useless-sums-of- money."
Periphrasis works with places and objects, too.
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"My play is a new Hamlet." "Grand Junction is a modern day Florence, but Mesa State College is not quite the Harvard of the west."
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In sum...
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"He looks like a beached whale" and "He is as fat as a beached whale" are similes.
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"He is a beached whale" is a metaphor. (You don't use "like" or "as.")
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"Look at Shamu over there!" is a periphrasis (It's a metaphor that uses a proper noun. It's not just any old whale. It's Shamu, a particular whale.)
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