Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us.
We stood aghast at our danger, and had the Martian looked down we must immediately have perished.
There are no more uses of "perish" in the book.
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...government of the people, by the people, for the people shall not perish from the earth.