This poem was published in Dove's first complete book of poems, The Yellow House on the Corner, in 1980. "Geometry" like other poems in the same volume, explores the dynamic between knowledge and imagination. Through an evolving series of increasingly surprising and fantastic dramatic images, the poem takes the reader on a swift and fanciful excursion from indisputable knowledge ("I prove a theorem") to the realm of imagination. The speaker of the poem seems to be suggesting that the very act of attempting to impose intellectual certainty results in the unleashing of a mysterious, and ultimately wonderful, transformative force. The geometrical "house" immediately "expands" from what is known and certain, and suddenly the speaker is no longer protected, but is "out in the open." The windows, those framed devices through which the speaker observes the external world, "jerk free" and hinge "into butterflies" in a transformation from rational thought to imagination. The poet seems to be saying that where intellect and imagination "intersect" there is "sunlight," or enlightenment, and that, in the end, it is the imagination that is "true and unproven."