How does John Donne compare two souls to a geometer’s compass in “A Valediction: Forbidding Mourning”?

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In "A Valediction: Forbidding Mourning," John Donne employs a metaphysical conceit to compare the souls of two lovers to the two legs of a geometer’s compass. This figure of speech serves as an ingenious parallel between their spiritual connection and a physical tool.123

Donne describes the lovers' souls as "stiff twin compasses". In this analogy:1
* The fixed foot: Represents the soul of the mistress, which remains anchored in the center, providing stability.41
* The roaming foot: Represents the narrator’s soul, which travels far away.41

Despite the distance, the two souls remain connected by a pivot. The fixed foot "leans and hearkens" after the roaming one, growing "erect" as the other returns home. Through this comparison, Donne argues that their mature, spiritual love is not diminished by physical separation; rather, the distance only serves to make the fixed soul lean toward the other, maintaining their unity even when they are apart. This conceit effectively illustrates the intellectual and emotional depth characteristic of Donne’s poetry.412