Libra and Capricorn are both Cardinal signs - both natural organizers who like to be the one setting the agenda - but the 90-degree square between them means they're usually organizing toward different ends. Libra orients around people, harmony, and connection; Capricorn orients around goals, status, and results. One is planning the dinner party; the other is planning the next five years.
Talk it through or get it done
Because Air meets Earth, the styles contrast rather than blend. Libra wants to talk it through, weigh everyone's feelings, keep things pleasant; Capricorn wants to decide, execute, and move on. Capricorn can find Libra frivolous, indecisive, too concerned with appearances; Libra can find Capricorn cold, blunt, married to its work. Both being Cardinal, neither loves to yield, so the disagreements can quietly entrench.
Libra and Capricorn in love and friendship
In love the respect is real even when the priorities aren't aligned - Libra is drawn to Capricorn's solidity and ambition, Capricorn to Libra's charm and social grace. Together they can be a genuine power couple: Libra handling the human side, Capricorn building the structure. It goes wrong when Capricorn's workaholism starves the romance Libra needs, or Libra's bid for reassurance reads as neediness to a preoccupied Capricorn. As friends the complementarity is easier - each admires what the other does well.
Beyond the sun signs
Still, a square is a tendency, not a fate. Two suns are roughly a thirteenth of the real story; the Moon signs, the Venus contacts, and the aspects laced between two full charts settle far more than this one angle. A Libra and a Capricorn with warmer contacts elsewhere can build something both beautiful and durable - the square just means they'll negotiate their differences the whole way through.